-
An orthogonal normal transformation of correlated non-normal random variables for structural reliability Probab. Eng. Mech. (IF 2.411) Pub Date : 2021-03-26 Yan-Gang Zhao, Ye-Yao Weng, Zhao-Hui Lu
In this paper, an efficient and explicit technique is proposed for transforming correlated non-normal random variables into independent standard normal variables based on the three-parameter (3P) lognormal distribution. In contrast with the classic Nataf transformation, the derived equivalent correlation coefficient in non-orthogonal standard normal space of the proposed transformation is expressed
-
Variability response function approach for foundation reliability Probab. Eng. Mech. (IF 2.411) Pub Date : 2021-03-17 M.K. Lo, Y.F. Leung, T. Ku
This paper explores the applicability of variability response functions to nonlinear soil–structure interaction problems, focusing on the impacts of spatially variable soil properties on foundation reliability regarding the settlement response. An estimation scheme is proposed to obtain the response functions, which involves a periodic function to approximate the relationship between foundation response
-
Error-based stopping criterion for the combined adaptive Kriging and importance sampling method for reliability analysis Probab. Eng. Mech. (IF 2.411) Pub Date : 2021-03-26 Wanying Yun, Zhenzhou Lu, Lu Wang, Kaixuan Feng, Pengfei He, Ying Dai
Metamodel-based method is a wise reliability analysis technique because it uses the metamodel to substitute the actual limit state function under the predefined accuracy. Adaptive Kriging (AK) is a famous metamodel in reliability analysis for its flexibility and efficiency. AK combined with the importance sampling (IS) method abbreviate as AK-IS can extremely reduce the size of candidate sampling pool
-
3rd-order Spectral Representation Method: Simulation of multi-dimensional random fields and ergodic multi-variate random processes with fast Fourier transform implementation Probab. Eng. Mech. (IF 2.411) Pub Date : 2021-03-14 Lohit Vandanapu, Michael D. Shields
This paper introduces a generalized 3rd-order Spectral Representation Method for the simulation of multi-dimensional random fields and ergodic multi-variate stochastic processes with asymmetric non-linearities. The formula for the simulation of general d-dimensional random fields is presented and the method is applied to simulate 2D and 3D random fields. The differences between samples generated by
-
Topology optimization of buildings subjected to stochastic wind loads Probab. Eng. Mech. (IF 2.411) Pub Date : 2021-02-28 Fernando Gomez, Billie F. Spencer, Juan Carrion
Traditionally, the main structural system of tall buildings is designed iteratively to resist extreme wind loads, which provides safe, but typically suboptimal building systems. Topology optimization provides a general approach to obtain optimal material layout to carry the required load within specified design constraints. The wind loading on a structure is typically modeled as an equivalent static
-
First-passage reliability of high-dimensional nonlinear systems under additive excitation by the ensemble-evolving-based generalized density evolution equation Probab. Eng. Mech. (IF 2.411) Pub Date : 2021-01-16 Meng-Ze Lyu, Jian-Bing Chen
The reliability analysis of high-dimensional stochastic dynamical systems subjected to random excitations has long been one of the major challenges in civil and various engineering fields. Despite great efforts, no satisfactory method with high efficiency and accuracy has been available as yet for high-dimensional systems even when they are linear systems, not to mention generic nonlinear systems.
-
Statistical properties of the model parameters in the continuum approach to high-cycle fatigue Probab. Eng. Mech. (IF 2.411) Pub Date : 2021-01-16 Osmo Kaleva, Heikki Orelma
This paper is a sequel to papers studying the continuum approach to the high-cycle fatigue model of Ottosen et al. First, we study the estimation of fatigue limit and statistical characteristics of the estimates. We have two cases. Either the fatigue limit is a material constant or it is a random variable. Finally, we derive approximate distributions for the parameter estimators of the fatigue model
-
A Chebyshev collocation based sequential matrix exponential method for the generalized density evolution equation Probab. Eng. Mech. (IF 2.411) Pub Date : 2021-01-14 Hui Zhang, Yazhou Xu
In perspective of global approximation, this study presents a numerical method for the generalized density evolution equation (GDEE) based on spectral collocation. A sequential matrix exponential solution based on the Chebyshev collocation points is derived in consideration of the coefficient or velocity term of GDEE being constant in each time step, then the numerical procedure could be successively
-
Multilevel Monte Carlo simulations of composite structures with uncertain manufacturing defects Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-12-17 T.J. Dodwell, S. Kynaston, R. Butler, R.T. Haftka, Nam H. Kim, R. Scheichl
By adopting a Multilevel Monte Carlo (MLMC) framework, this paper shows that only a handful of costly fine scale computations are needed to accurately estimate statistics of the failure of a composite structure, as opposed to the many thousands typically needed in classical Monte Carlo analyses. The paper introduces the MLMC method and provides an extension called MLMC with selective refinement to
-
Reliability assessment of MR fluid dampers in passive and semi-active seismic control of structures Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-12-17 Ali Bagherkhani, Abdolhossein Baghlani
In this paper, the reliability assessment of magnetorheological (MR) dampers in reducing structures’ seismic responses is studied. Two passive and semi-active control scenarios are considered and discussed. For semi-active control scenario, the Lyapunov control algorithm is used. In order to minimize the structure’s responses under a given earthquake excitation, an unconstrained optimization problem
-
Are seismic fragility curves fragile? Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-11-25 M. Grigoriu, A. Radu
A hypothetical seismic site is constructed for which the probability law of the seismic ground acceleration process X(t) is specified. Since the seismic hazard is known, the performance of the incremental dynamic analysis- (IDA) and multiple stripe analysis- (MSA) based fragilities, which are used extensively in Earthquake Engineering, can be assessed without ambiguity. It is shown that the IDA- and
-
An efficient simulation algorithm for non-Gaussian nonstationary processes Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-11-06 Fuyou Xu, Xingliang Ma
A novel algorithm is proposed for simulating univariate non-Gaussian nonstationary processes (NNP) with the specified evolutionary power spectral density (EPSD)/nonstationary auto-correlation function (NACF) and first four-order time-varying marginal moments (TVMMs). The sample realizations of the target NNP are generated as the outputs from a specific time-varying auto-regressive (TVAR) model via
-
A polynomial dimensional decomposition framework based on topology derivatives for stochastic topology sensitivity analysis of high-dimensional complex systems and a type of benchmark problems Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-10-14 Xuchun Ren
In this paper, a new computational framework based on the topology derivative concept is presented for evaluating stochastic topological sensitivities of complex systems. The proposed framework, designed for dealing with high dimensional random inputs, dovetails a polynomial dimensional decomposition (PDD) of multivariate stochastic response functions and deterministic topology derivatives. On one
-
Geometrical uncertainty in mechanics and random curves in space Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-09-16 V. Gusella
The paper proposes an approach to model the geometrical uncertainty in case of curves in space. After highlighting the importance of the geometrical uncertainty in various fields of mechanics, the random set of “irregular or imperfect curves” is analysed in the natural or intrinsic reference system by the formulas of Serret–Frenet. It is shown that the Riccati’s random differential operator, in complex
-
Non-stationary dynamic structural response to thunderstorm outflows Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-09-19 Matteo Ciano, Massimiliano Gioffrè, Vittorio Gusella, Mircea Dan Grigoriu
Wind loads on structures are commonly described as stationary phenomena that occur in neutral atmospheric conditions at the synoptic scale with velocity profiles in equilibrium with the atmospheric boundary layer. Nevertheless, structural systems can be also affected by thunderstorm outflows, which are non-stationary local phenomena at the mesoscale that occur in convective conditions with totally
-
Validating a six-degrees-of-freedom maneuvering in irregular-waves code for extreme conditions—The practical aspects Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-07-24 Arthur M. Reed
This paper focuses on issues related to Validation, i.e., determining for a computational tool that predicts the motions of a vessel in extreme seas if the theory and the code that implements the theory accurately models the relevant physical problem of interest. The challenge of this validation is the fact that the excitation process – waves – are stochastic and that as a consequence, the responses
-
Global sensitivity analysis for stochastic processes with independent increments Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-09-05 Emeline Gayrard, Cédric Chauvière, Hacène Djellout, Pierre Bonnet, Don-Pierre Zappa
This paper is a first attempt to develop a numerical technique to analyze the sensitivity and the propagation of uncertainty through a system with stochastic processes having independent increments as input. Similar to Sobol’ indices for random variables, a meta-model based on Chaos expansions is used and it is shown to be well suited to address such problems. New global sensitivity indices are also
-
A global sensitivity index based on Fréchet derivative and its efficient numerical analysis Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-09-03 Jianbing Chen, Zhiqiang Wan, Michael Beer
Sensitivity analysis plays an important role in reliability evaluation, structural optimization and structural design, etc. The local sensitivity, i.e., the partial derivative of the quantity of interest in terms of parameters or basic variables, is inadequate when the basic variables are random in nature. Therefore, global sensitivity such as the Sobol’ indices based on the decomposition of variance
-
Correlation structure in the elasticity tensor for short fiber-reinforced composites Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-08-27 Natalie Rauter, Rolf Lammering
The present work provides a profound analytical treatment and numerical analysis of the material properties of SFRC on the mesoscale as well as the resulting correlation structure taking into account the probabilistic characteristics of the fiber geometry. This is done by calculating the engineering constants using the analytical framework given by Tandon and Weng as well as Halpin and Tsai. The input
-
Comparison of Bayesian methods on parameter identification for a viscoplastic model with damage Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-08-25 Ehsan Adeli, Bojana Rosić, Hermann G. Matthies, Sven Reinstädler, Dieter Dinkler
The state of materials and accordingly the properties of structures are changing over the period of use, which may influence the reliability and quality of the structure during its life-time. Therefore, identification of the model parameters of the system is a topic which has attracted attention in the content of structural health monitoring. The parameters of a constitutive model are usually identified
-
On sampling-based schemes for probability of failure sensitivity analysis Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-08-24 André Jacomel Torii
In this paper we discuss the accuracy of probability of failure sensitivity analysis with sampling-based schemes. Three approaches commonly employed in literature are discussed: the Weak sensitivity analysis, the Direct employment of finite difference schemes and the Common Random Variable approach. Theoretical estimates for the bias, the coefficient of variation and the mean square error for each
-
Novel parameter update for a gradient based MCMC method for solid-void interface detection through elastodynamic inversion Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-08-24 Michael Conrad Koch, Kazunori Fujisawa, Akira Murakami
A method is developed for the explicit identification of solid-void interfaces in a Bayesian framework using a statistically efficient gradient based Markov Chain Monte Carlo (MCMC) algorithm called Hamiltonian Monte Carlo (HMC). The elastodynamic inversion is carried out in a Finite Element discretized domain considering parameterized representations of the actual interface between the elastic solid
-
An improved sieve point method for the reliability analysis of structures Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-08-18 Gang Liu, Kai Gao, S.S. Law
The efficiency of existing stochastic analysis method depends on the discretization of the random variables domain. The number theoretical method has been proposed to discretize the random variable space and solve the generalized density evolution equation via sampling strategy. This method traditionally involves hyper-ball sieving (HS) algorithm to sample the representative point set. However, the
-
First passage times for Gaussian processes by Slepian models Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-08-06 M. Grigoriu
Integral equations of the type in Bernard and Shipley (1972) are used to calculate approximately the distribution of the first time Ta that a Gaussian process X(t) crosses a threshold a from below, referred as the first passage time. These equations involve kernels which are currently calculated numerically from multidimensional integrals. It is shown that Slepian models can be used to calculate efficiently
-
Closed-form solutions of redundantly constrained stochastic frames Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-07-25 Giovanni Falsone, Rossella Laudani
This paper addresses the determination of the closed-form solutions of redundantly constrained stochastic frames in terms of the probability density function (PDF). The full characterization of any response random variable of the structures, that are characterized by spatially random deformability (or its inverse, the stiffness), has been identified through the application of the force method and the
-
Stochastic analysis of strongly non-linear elastic impact system with Coulomb friction excited by white noise Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-07-22 Li Liu, Wei Xu, Xiaole Yue, Wantao Jia
The stochastic response of frictionally damped strongly non-linear elastic impact oscillator subjected to white noise excitation and its stochastic bifurcation are considered. By the stochastic averaging method based on generalized harmonic function, one can obtain the stationary probability density function of this system. The effects of system parameters on the responses are investigated and the
-
Sparse representations and compressive sampling approaches in engineering mechanics: A review of theoretical concepts and diverse applications Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-06-25 Ioannis A. Kougioumtzoglou, Ioannis Petromichelakis, Apostolos F. Psaros
A review of theoretical concepts and diverse applications of sparse representations and compressive sampling (CS) approaches in engineering mechanics problems is provided from a broad perspective. First, following a presentation of well-established CS concepts and optimization algorithms, attention is directed to currently emerging tools and techniques for enhancing solution sparsity and for exploiting
-
Stochastic sensitivity analysis of energy-dissipating structures with nonlinear viscous dampers by efficient equivalent linearization technique based on explicit time-domain method Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-06-24 Jianhua Xian, Cheng Su, Billie F. Spencer
Nonlinear fluid viscous dampers have been widely used in energy-dissipating structures due to their stable and high dissipation capacity and low maintenance cost. However, the literature on stochastic optimization of nonlinear viscous dampers under nonstationary excitations is limited. This paper is devoted to the stochastic response and sensitivity analysis of large-scale energy-dissipating structures
-
Probabilistic bond strength model for reinforcement bar in concrete Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-06-23 Bo Yu, Rui-kai Tang, Bing Li
In order to overcome the disadvantages of traditional deterministic models, a probabilistic bond strength model of reinforcement bar in concrete was presented. According to the partly cracked thick-walled cylinder model, a deterministic bond strength model of reinforcement bar in concrete was developed first by taking into account the influences of various important factors. Then the analytical expression
-
Seismic fragility analysis of structures based on Bayesian linear regression demand models Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-06-23 Swarup Ghosh, Subrata Chakraborty
Bayesian linear regression (BLR) based demand prediction models are proposed for efficient seismic fragility analysis (SFA) of structures utilizing limited numbers of nonlinear time history analyses results. In doing so, two different BLR models i.e. one based on the classical Bayesian least squares regression and another based on the sparse Bayesian learning using Relevance Vector Machine are explored
-
Direct control method for improving stability and reliability of nonlinear stochastic dynamical systems Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-06-08 Ying Yang, Yong Wang, Zhilong Huang, Xiangying Ji
Optimal control for improving the stability and reliability of nonlinear stochastic dynamical systems is of great significance for enhancing system performances. However, it has not been adequately investigated because the evaluation indicators for stability (e.g. maximal Lyapunov exponent) and for reliability (e.g. mean first-passage time) cannot be explicitly expressed as the functions of system
-
Evaluating response of simple oscillators to a particular kind of time–frequency non-separable evolutionary stochastic processes Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-06-02 Qian-Ying Cao, Sau-Lon James Hu, Hua-Jun Li
This article develops a Laplace-frequency method to derive the exact closed-form solution for the response evolutionary power spectral density (EPSD) of a simple oscillator subjected to an evolutionary stochastic process characterized by a particular kind of time–frequency (t,ω) non-separable EPSD: SF(t,ω)=t2λe−2γ(ω)tΦ(ω). The proposed Laplace-frequency method also gains insightful physics for the
-
Response and reliability analysis of a high-dimensional stochastic system Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-06-01 Y.T. Jia, S.S. Law, N. Yang
The efficiency of the probability density evolution method (PDEM) is improved in this paper by embedding the Kullback–Leibler (K–L) relative sensitivity in the response analysis of a stochastic dynamic system. The response reliability obtained and the probability density function of the response peaks are used for ranking to get a reduced set of random variables for the PDEM analysis. The need of complicated
-
Combinatorial analysis for probabilistic assessment of dependent failures in systems and portfolios Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-04-06 Ross B. Corotis, Daniel Straub, Karl Breitung, Holly Janowicz
System reliability is usefully applied to assess the performance of individual structures and portfolios of structures. In many instances, one is interested in knowing the probability that m failures have occurred among n components in a system, or that at least m failures have occurred among n components. Examples include structural failure modes within a single infrastructure or building, buildings
-
Mesh-free stochastic algorithms for systems of drift–diffusion–reaction equations and anisotropic diffusion flux calculations Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-03-31 Karl Sabelfeld
We suggest in this paper two new random walk based stochastic algorithms for solving high-dimensional PDEs for domains with complicated geometrical structure. The first one, a Random Walk on Spheres (RWS) algorithm is developed for solving systems of coupled drift–diffusion–reaction equations where the random walk is living both on randomly sampled spheres and inside the relevant balls. The second
-
Insight into the inherent randomness of concrete properties using the stochastic micromechanics Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-03-28 Qing Chen, Hehua Zhu, Haoxin Li, J. Woody Ju, Zhengwu Jiang, Zhiguo Yan
The concrete properties inherently fluctuate even using the same manufacturing process. A Legendre polynomial based micromechanical framework is proposed to investigate the inherent randomness of the concrete’s elastic behavior. The three-phase composite model is employed to represent the concrete material at microscale level. The volume fractions of different constituents are reached using a simplified
-
An active learning Kriging model combined with directional importance sampling method for efficient reliability analysis Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-02-19 Qing Guo, Yongshou Liu, Bingqian Chen, Yuzhen Zhao
In this paper, the active learning Kriging model (ALK), which has been studied extensively in recent years, has been expanded by combining with the directional importance sampling (DIS) method. The directional sampling method can reduce the dimensionality of the variable space by random sampling or interpolation in the direction of vector diameter, which can improve the efficiency of reliability analysis
-
Pitfalls of data-driven peaks-over-threshold analysis: Perspectives from extreme ship motions Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-02-13 Vladas Pipiras
A popular peaks-over-threshold (PoT) method of Extreme Value Theory to quantify the probabilities of rare events is examined here on data generated from a nonlinear random oscillator model, describing a qualitative behavior of rolling of a ship in irregular seas. The restoring force in the oscillator model has a softening shape associated with the ship rolling application, and the response is also
-
Multivariate GP-VAR models for robust structural identification under operational variability Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-02-12 Luis David Avendaño-Valencia, Eleni N. Chatzi
While the concept of structural monitoring has been around for a number of decades, it remains under-exploited in practice. A main driver for this shortcoming lies in the difficulty to robustly and autonomously interpret the information that is extracted from dynamic data. This hindrance in properly deciphering the collected information may be attributed to the uncertainty that is inherent in i) the
-
A stochastic framework for hydraulic performance assessment of complex water distribution networks: Application to connectivity detection problems Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-02-10 H.A. Jensen, D.J. Jerez
This paper is concerned with the hydraulic performance assessment of large scale water distribution networks in presence of uncertainty. In particular, the associate connectivity detection problem is examined in detail. For this purpose, a Bayesian system identification methodology is combined with an efficient hydraulic simulation model. A number of hydraulic model classes are defined as potential
-
An exact closed-form solution for linear multi-degree-of-freedom systems under Gaussian white noise via the Wiener path integral technique Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-02-10 Apostolos F. Psaros, Ying Zhao, Ioannis A. Kougioumtzoglou
The exact joint response transition probability density function (PDF) of linear multi-degree-of-freedom oscillators under Gaussian white noise is derived in closed-form based on the Wiener path integral (WPI) technique. Specifically, in the majority of practical implementations of the WPI technique, only the first couple of terms are retained in the functional expansion of the path integral related
-
Moment equations and cumulant-neglect closure techniques for non-linear dynamic systems under renewal impulse process excitations Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-02-08 Anna Jabłonka, Radosław Iwankiewicz
The moment equations technique together with modified cumulant-neglect closure techniques is developed for a non-linear dynamic system subjected to a random train of impulses driven by an Erlang renewal counting process. The original non-Markov problem is converted into a Markov one by recasting the excitation process with the aid of an auxiliary, pure-jump stochastic process characterized by a Markov
-
On the usefulness of gradient information in surrogate modeling: Application to uncertainty propagation in composite material models Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-02-08 Anindya Bhaduri, David Brandyberry, Michael D. Shields, Philippe Geubelle, Lori Graham-Brady
In this work, the performance of non-gradient as well as gradient-enhanced versions of two different classes of surrogate modeling approaches, polynomial least squares regression and kernel based radial basis function interpolation, are compared in the context of a composite mechanics problem. Sequential space filling random designs are used for selecting the training points. The primary goal is to
-
A compressive MUSIC spectral approach for identification of closely-spaced structural natural frequencies and post-earthquake damage detection Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-02-07 Kyriaki Gkoktsi, Agathoklis Giaralis
Motivated by practical needs to reduce data transmission payloads in wireless sensors for vibration-based monitoring of engineering structures, this paper proposes a novel approach for identifying resonant frequencies of white-noise excited structures using acceleration measurements acquired at rates significantly below the Nyquist rate. The approach adopts the deterministic co-prime sub-Nyquist sampling
-
Stochastic response determination of nonlinear structural systems with singular diffusion matrices: A Wiener path integral variational formulation with constraints Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-02-07 Ioannis Petromichelakis, Apostolos F. Psaros, Ioannis A. Kougioumtzoglou
The Wiener path integral (WPI) approximate semi-analytical technique for determining the joint response probability density function (PDF) of stochastically excited nonlinear oscillators is generalized herein to account for systems with singular diffusion matrices. Indicative examples include (but are not limited to) systems with only some of their degrees-of-freedom excited, hysteresis modeling via
-
A polynomial chaos method for arbitrary random inputs using B-splines Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-02-06 Christoph Eckert, Michael Beer, Pol D. Spanos
Isogeometric analysis which extends the finite element method through the usage of B-splines has become well established in engineering analysis and design procedures. In this paper, this concept is considered in context with the methodology of polynomial chaos as applied to computational stochastic mechanics. In this regard it is noted that many random processes used in several applications can be
-
Probabilistic modeling and simulation of wave speeds in random composites Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-02-05 Sarah C. Baxter, Katherine A. Acton
Investigations of wave propagation in composite materials have been used both to experimentally measure material properties and to validate material property model characterizations. For continuous fiber reinforced composites, these characterizations often have relied on a bulk description of the effective behavior of a Representative Volume Element (RVE) and assumed ideal conditions of transverse
-
A multilevel moving particles method for reliability estimation Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-02-05 Carsten Proppe
A multilevel moving particles method is developed for the estimation of failure probabilities that are computed from numerical approximations of the performance function. The algorithm balances the statistical error of the estimate and the approximation error. This is achieved by computing a telescoping sum of estimates for the difference in the number of moves at subsequent levels of the approximation
-
Sparse polynomial surrogates for non-intrusive, high-dimensional uncertainty quantification of aeroelastic computations Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-02-05 Éric Savin, Jean-Luc Hantrais-Gervois
This paper is concerned with aircraft aeroelastic interactions and the propagation of parametric uncertainties in numerical simulations using high-fidelity fluid flow solvers. More specifically, the influence of variable operational and structural parameters (random inputs) on the drag performance and deformation (outputs) of a flexible wing in transonic regime, is assessed. Because of the complexity
-
Dimension reduction model for two-spatial dimensional stochastic wind field: Hybrid approach of spectral decomposition and wavenumber spectral representation Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-02-05 Zhangjun Liu, Chenggao He, Zixin Liu, Hailin Lu
A renewed methodology for simulating two-spatial dimensional stochastic wind field is addressed in the present study. First, the concept of cross wavenumber spectral density (WSD) function is defined on the basis of power spectral density (PSD) function and spatial coherence function to characterize the spatial variability of the stochastic wind field in the two-spatial dimensions. Then, the hybrid
-
Bayesian inference for parameters estimation using experimental data Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-02-05 Chiara Pepi, Massimiliano Gioffrè, Mircea Grigoriu
A finite element (FE) model is developed for a curved cable-stayed footbridge located in Terni (Umbria Region, Central Italy) which accounts for uncertainties in geometry, material properties, and boundary conditions as well as limited knowledge on the behavior of connections and other components. Ambient vibration tests (AVTs) are carried out to identify the main dynamic parameters which are used
-
Modified robust geotechnical design approach based on the sensitivity of reliability index Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-02-05 Xiaohui Tan, Mengfen Shen, C. Hsein Juang, Yongjie Zhang
The robust geotechnical design (RGD), which aims to ensure a design that is robust against variations in the input variables, is receiving wider attention and acceptance in the past few years. In this paper, the authors proposed the sensitivity of reliability index (SRI) to evaluate the feasibility robustness of the design, resulting in a modified RGD approach. The performance of the proposed approach
-
Nonlinear vibrations of beams and plates with fractional derivative elements subject to combined harmonic and random excitations Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-02-04 Pol D. Spanos, Giovanni Malara
This paper proposes an efficient approach for estimating reliably the second order statistics of the response of continua excited by combinations of harmonic and random loads. The problem is relevant in several engineering applications, where, for instance, the harmonic load is influenced by significant noise that cannot be neglected when computing the response statistics. The considered problems pertain
-
Comparison of robust, reliability-based and non-probabilistic topology optimization under uncertain loads and stress constraints Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-02-04 Gustavo Assis da Silva, Eduardo Lenz Cardoso, André Teófilo Beck
It is nowadays widely acknowledged that optimal structural design should be robust with respect to the uncertainties in loads and material parameters. However, there are several alternatives to consider such uncertainties in structural optimization problems. This paper presents a comprehensive comparison between the results of three different approaches to topology optimization under uncertain loading
-
Data-driven uncertainty quantification and propagation in structural dynamics through a hierarchical Bayesian framework Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-02-04 Omid Sedehi, Costas Papadimitriou, Lambros S. Katafygiotis
In the presence of modeling errors, the mainstream Bayesian methods seldom give a realistic account of uncertainties as they commonly underestimate the inherent variability of parameters. This problem is not due to any misconceptions in the Bayesian framework since it is robust with respect to the modeling assumptions and the observed data. Rather, this issue has deep roots in users’ inability to develop
-
A linearization scheme for vibrations due to combined deterministic and stochastic loads Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-02-04 Ying Zhang, Pol D. Spanos
Nonlinear vibrations due to combined deterministic and stochastic loads are investigated through a novel linearization scheme. The steady-state motion is expressed as a sum of an ensemble mean (deterministic) part and a zero-mean stochastic part. Further, harmonic averaging is used to account for the mean response, while statistical linearization is used to determine the standard deviation of the random
-
Structural uncertainty modeling for nonlinear geometric response using nonintrusive reduced order models Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-02-04 X.Q. Wang, Marc P. Mignolet, Christian Soize
The focus of the present investigation is on the introduction of uncertainty directly in reduced order models of the nonlinear geometric response of structures following maximum entropy concepts. While the approach was formulated and preliminary validated in an earlier paper, its broad application to a variety of structures based on their finite element models from commercial software was impeded by
-
Cell renormalized FPK equation for stochastic non-linear systems Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-02-04 Z. Jiang, J. Li, P. Spanos
The Fokker–Planck–Kolmogorov (FPK) equation, as a well investigated partial differential equation, is of great significance to stochastic dynamics due to its theoretical rigor and exactness. However, practical difficulties with the FPK method are encountered when analysis of multi-degree-of-freedom (MDOF) systems with arbitrary nonlinearity is required. In the present paper, a cell renormalized method
-
A non-linear stochastic approach of ligaments and tendons fractional-order hereditariness Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-02-04 E. Bologna, N. Lopomo, G. Marchiori, M. Zingales
In this study the non-linear hereditariness of knee tendons and ligaments is framed in the context of stochastic mechanics. Without losing the possibility of generalization, this work was focused on knee Anterior Cruciate Ligament (ACL) and the tendons used in its surgical reconstruction. The proposed constitutive equations of fibrous tissues involves three material parameters for the creep tests and
-
The role of intensity measures on the accuracy of seismic fragilities Probab. Eng. Mech. (IF 2.411) Pub Date : 2020-02-03 M. Ciano, M. Gioffrè, M. Grigoriu
Seismic fragilities are the probability that structural response of a system overcomes specified limit values for given seismic intensity measures. These curves are frequently defined as functions of single/multiple ordinates of the pseudo-acceleration response spectrum. Recently it was reported that this approach can lead to inaccurate estimation of the structural performance for complex non-linear
Contents have been reproduced by permission of the publishers.