This paper investigates the free vibration and buckling behaviors of functionally graded graphene platelets (FG-GPLs) reinforced porous beam under axially variable loads. The internal pores and GPLs are either uniformly or non-uniformly distributed along the thickness direction. Halpin–Tsai micromechanics model is used to calculate the effective elastic modulus. The variation of Poisson’s ratio along

Dynamic mode decomposition (DMD) is a powerful data-driven method used to extract spatio-temporal coherent structures that dictate a given dynamical system. The method consists of stacking collected temporal snapshots into a matrix and mapping the nonlinear dynamics using a linear operator. The classical procedure considers that snapshots possess the same dimensionality for all the observable data

The failure probability-based global sensitivity is proposed to evaluate the influence of input variables on the failure probability. But for the problem that the distribution parameters of variables are uncertain due to the lack of data or acknowledgement, if the original failure probability-based global sensitivity is employed to evaluate the influences of different uncertainty sources directly,

This research presents a numerical investigation on the dynamic information of the axisymmetric sandwich annular sector plate via a higher-order continuum elasticity theory. The sandwich annular sector plate comprises multi-hybrid nanocomposite reinforced (MHCR) face sheets in the top, bottom layers, and a honeycomb core. For modeling the thermal situation and the thickness of the structure, three-kinds

Composite structures are susceptible to sudden failures due their complex modes of failure. One of these modes is delamination, the detachment of the layers due to the rupture in the fiber-matrix interface. To avoid catastrophic failures, several Structural Health Monitoring techniques are employed. Damage indexes based on wavelet transform techniques are vastly explored and provide prominent results

In this paper, homogenization functions are first proposed to address two-dimensional (2D) and three-dimensional (3D) inverse source problems of nonlinear time-fractional wave equation (ISPs-NTFWE). Homogenization functions for 2D and 3D problems can be derived based on proposed conditions. Then, the superposition of homogenization function method (SHFM) for tackling ISPs-NTFWE is obtained. This new

Rectangular tunnel boring machine (TBM) is applied for the tunnels’ excavation including a cross section of circular and rectangular shape within the various rocks and soil strata. Excessive structural forces, which is produced within tunnel linings, might affect the serviceability and safety of tunnels whose forces acting on tunnels linings during the initial design period have to be accurately calculated

We extend the concept of generalized NURBS (GNURBS), recently introduced by the authors for parametric curves, to bivariate parametric surfaces. These generalizations are obtained via either explicit or implicit decoupling of the weights along different physical coordinates. This decoupling allows for treating the weights as additional degrees of freedom in a wider range of applications compared to

A boundary element method formulation is developed and validated through the solution of problems governed by the diffusion-wave equation, for which the order of the time derivative, say α, ranges in the interval (1, 2). This fractional time derivative is defined as an integro-differential operator in the Caputo sense. For α = 2, one recovers the classical wave equation. From the weighted residual

Harmony search algorithm (HSA), inspired by the behaviors of music improvisation process, is a widely used metaheuristic to solve global optimization problems arises in various fields. The reason of its popularity is its simplicity of algorithm structure and good performance. However, the conventional harmony search algorithm (HSA) experiences prone towards the local optima, tedious task of tuning

Tight carbonate reservoirs appear to be heterogeneous due to the patchy production of various digenetic properties. Consequently, the permeability calculation of tight rocks is costly, and only a finite number of core plugs in any single reservoir can be estimated. Hence, in the present study, a novel hybrid model constructed by combination of the improved version of the Harris Hawks optimisation (HHO)

This study proposes a modified Elephant Herding Optimization algorithm to enhance the capability of a classical algorithm for convalescent convergence rate and precision to solve global optimization problems. The proposed Improved Elephant Herding Optimization (IEHO) uses an opposition learning-based initialization to get a better initial population. A sine cosine-based clan updating operator updates

In the present study, the shell-type moving Kriging meshfree model is formulated to analyze the nonlinear stability characteristics of cylindrical microshells reinforced by graphene nanoplatelets in a random checkerboard pattern and subjected to an external lateral pressure. A probabilistic technique together with the Monte-Carlo approach is employed to extract the effective material properties of

In this paper, the coupled advection-dominated diffusion-reaction equations which arise in the prevention of groundwater contamination problem are approximated by usual finite element method (FEM). It is clear that by increasing the number of elements to improve computational accuracy, we have to incur a lot of costs. The main presented idea is to reduce the used CPU time for employing the finite-element

The slime mould algorithm (SMA) has recently been introduced to solve continuous engineering problems, which has been employed to solve a wide range of various problems due to its good performance. This paper presents an enhanced binary SMA for solving the 0–1 knapsack problem at different scales. In the presented binary SMA, eight different transfer functions have been used and evaluated. The transfer

The role of the spatial variation of the nonlocal parameter on the free vibration of functionally graded sandwich nanoplates is investigated in this study. The key achievement of this work is that the classical nonlocal elasticity theory is modified to take into account the dependence of nonlocal parameters on the varying of materials through the thickness of the functionally graded sandwich nanoplates

A numerical method based on Chebyshev polynomials and wavelet theory to solve the generalized Thomas-Fermi boundary value problems is proposed numerically. First, we convert the generalized Thomas-Fermi boundary value problem into the equivalent integral equation. The collocation technique based on Chebyshev wavelets is applied to obtain a nonlinear system that is then dealt with the Newton-Raphson

Stiffened plates are widely used in high-performance structures, especially when a high stiffness/weight ratio is a relevant factor. In this work, the main objective relies on determining the optimum geometry of a simply supported stiffened thin plate which minimizes the maximum out-of-plane displacement, while complying with maximum von Mises stress constraints. The structure is subject to a pressure

This research work is focused on the buckling analysis of functionally graded (FG) curved sandwich beams using an effective and simple three-unknown refined shear theory. Unlike the first shear deformation theory and higher-order shear deformation theory, this theoretical formulation only has three unknowns. This feature makes the formulation computationally faster to solve. It also provides a clear

For very strong convection-dominated problems, stabilized meshless methods such as variational multiscale element-free Galerkin (VMEFG) method may still produce over- and under-shootings near the boundary or interior layers. In this paper, an adaptive VMEFG method is presented to solve convection–diffusion equations with convection-dominated. The adaptive algorithm based on background integration cell

In this article, the two-dimensional micropolar rotating nanofluid between two parallel plates under Hall's influence can be solved using the Hermite wavelet technique (HWT). The nanofluid flow between two parallel plates is taken under the influence of the Hall current. The flow of micropolar nanofluid has been assumed in a steady state. We obtain a coupled, highly nonlinear ordinary differential

The current paper concerns to develop a new meshless numerical procedure to solve heat transport equation. For this aim, the Crank–Nicolson finite difference idea is used to discrete the time derivative. Thus, a time-discrete scheme is derived. The unconditional stability and convergence of the time-discrete scheme are proved by energy method. Then, the interpolating element-free Galerkin method is

Blasting has been widely recognized as an economical and viable method in geo-engineering projects. However, the induced ground vibration in terms of peak particle velocity (PPV) potentially can damage the nearby environment and inhabitants. Therefore, more accurate prediction of the PPV can lead to reduce undesirable and hazardous effects of blasting. With the increase in the computational power,

This work aims to develop a novel and practical equation for predicting the axial load of rectangular concrete-filled steel tubular (CFST) columns based on soft computing techniques. More precisely, a dataset containing 880 experimental tests was first collected from the available literature for the development of an artificial neural network (ANN) model. An optimization strategy was conducted to obtain

In this study, nanotube-type halloysites from weathered pegmatites were investigated to absorb Pb2+ in an aqueous solution. Also, a novel hybrid intelligent model based on the multiple layers perceptron (MLP) neural network and the Harris hawks optimization (HHO) algorithm (i.e., HHO-MLP neural network) was proposed for estimating the absorption of Pb2+ from an aqueous solution using this novel material

As a non-destructive buckling experimental technique, the vibration correlation technique (VCT) is extensively applied in buckling load prediction of columns, plates and shells under axial compression load. Following the experimental steps of VCT, the VCT can be numerically implemented and used as a numerical prediction method for buckling load. The effectiveness and efficiency of the numerical-based

Constrained optimization problems (COPs) with multiple computational expensive constraints are commonly encountered in simulation-based engineering designs. During the optimization process, the feasibility analysis of the intermediate solutions depends on the computational simulations will be computationally prohibitive. To relieve this computational burden, an active-learning probabilistic neural

In this paper, an attempt is made to extend a linear two-dimensional model for stability analysis of the laminated annular microplate subject to external excitation. A new approach called hybrid optimization is introduced to solve optimization problems with a high sensitive objective function to decline computational costs and increase the predicted optimum results accuracy. Regarding this issue, generalized

In this paper, the bending and buckling analysis of microbeam with the uniform and non-uniform cylindrical cross-section was examined based on the classical beam theory and the modified couple stress theory to model the micro-structures effects. The nonlinear effect of the Von-Kármán theory is regarded to study the large-deflection effect on the buckling of microtubes. The conservation energy principle

In this paper, a novel nature-inspired optimization algorithm, hazelnut tree search (HST) is proposed for solving numerical and engineering optimization problems. HST is a multi-agent algorithm that simulates the search process for finding the best hazelnut tree in a forest. The algorithm is composed of three main actuators: growth, fruit scattering, and root spreading. In the growth phase, trees compete

This paper aims to develop a meshfree approach based on the coupling of the Hermite-type point interpolation method (HPIM) and a high order continuation (HOC) Solver for numerical simulation of the geometrically nonlinear problems that require higher order continuity shape functions such as the buckling of a thin plate. The point interpolation method (PIM) and Hermite-type point interpolation method

The purpose of this paper is to study the stability analysis of the curved system made of piezoelectric materials under low-velocity impact. To examine the contact force through the impactor and structure, the Hertz contact model has been taken into account. The minimum potential energy method is applied for achieving the structure’s boundary and governing equations subject to a low-speed impact. In

Profust reliability analysis, in which the failure state of a load-bearing structure is assumed to be fuzzy, is investigated in this paper. A novel active learning method based on the Kriging model is proposed to minimize the number of function evaluations. The new method is termed ALK-Pfst. The sign of performance function at a given random threshold determines the profust failure probability. Therefore

In this research, the natural frequency responses of joined hemispherical–cylindrical–conical shells made of composite three-phase materials have been dealt with in the framework of First-Order Shear Deformation Theory (FOSDT). The joined hemispherical–cylindrical–conical shells are assumed to be made of hybrid porous nanocomposite material with three phases including a matrix of epoxy, macroscale

The accelerations of sessile, viscous ferrofluid droplets across a flat, smooth hydrophobic substrate, due to surface deformations induced by a perpendicularly rotating magnetic field, are investigated with coupled finite element/boundary element computer simulations. For moderate field strengths, monotonically increasing relationships are found between acceleration and both magnetic field strength

Financial theory could introduce a fractional differential equation (FDE) that presents new theoretical research concepts, methods and practical implementations. Due to the memory factor of fractional derivatives, physical pathways with storage and inherited properties can be best represented by FDEs. For that purpose, reliable and effective techniques are required for solving FDEs. Our objective is

The shear strength parameters (SSPs) of slip soil, which control the stability and evolution process of a landslide, exist some uncertainty that should be characterized and considered significantly in the stability analysis. In this paper, a typical reservoir landslide with double-sliding zones is taken as a case study. The statistical characteristics of SSPs in sliding zones are first analyzed using

This is the first time the multidirectional-graded porous panel structure modeled numerically using an equivalent single-layer higher-order polynomial model considering the cubic variation of extensional displacement to maintain the necessary stress/strain. The effect of porosity (even and uneven distributions) and variable grading patterns also included achieving the generality. Further, the deflection

Nowadays, the design of optimization algorithms is very popular to solve problems in various scientific fields. The optimization algorithms usually inspired by the natural behaviour of an agent, which can be humans, animals, plants, or a physical or chemical agent. Most of the algorithms proposed in the last decade inspired by animal behaviour. In this article, we present a new optimizer algorithm

This paper investigates sandwich beams' forced vibrations reinforced with graphene platelets (GPLs) based on higher-order shear deformation theory. A novel nonlinear reinforcement distribution based on the power-law method is proposed to model functionally graded (FG) graphene platelet reinforced composite face sheets. Due to the manufacturing constraints, the face sheets are considered laminated so

This article presents the mode shape and frequency analysis of graphene nanoplatelets reinforced composite (GPLRC) microdisk surrounded by viscoelastic foundation using a non-classical continuum theory called modified couple stress theory (MCST). The boundary conditions and non-classical governing equations of size-dependent GPLRC microstructure are derived by adding the higher-order stress and symmetric

The main purpose of this paper is to render a novel higher-order shear deformation theory (HSDT), which can model the dynamic analysis of the 2D-FG nanoplates subjected to hygro-thermo loading using a new shear strain shape function. The transverse component of displacement is composed of bending and shear parts. Thickness stretching influence is considered according to higher-order shear and normal

The present investigations are related to design an integrated computing numerical approach through Levenberg–Marquardt backpropagation (LMB) neural networks (NNs), i.e., LMB-NNs. The designed LMB-NNs approach is presented to solve the fourth-order nonlinear system of Emden–Fowler model (FO-SEFM). The solution of six different examples based on the FO-SEFM using the designed methodology LMB-NNs is

For the first time in the present investigation, aiming to improve the performance of mono-gyroscopic systems, the stability and vibrational behavior of flowing fluid coupled functionally graded (FG) porous rectangular plate resting on different foundations subjected to thermal environments are studied. Applying the higher-order shear deformation theory (HSDT) incorporated in nonlocal elasticity theory

In this work, we develop a mixed-mode phase-field fracture model employing a parallel-adaptive quasi-monolithic framework. In nature, failure of rocks and rock-like materials is usually accompanied by the propagation of mixed-mode fractures. To address this aspect, some recent studies have incorporated mixed-mode fracture propagation criteria to classical phase-field fracture models, and new energy

Optimizing real-life engineering design problems are challenging and somewhat difficult if optimum solutions are expected. The development of new efficient optimization algorithms is crucial for this task. In this paper, a recently invented grasshopper optimization algorithm is upgraded from its original version. The method is improved by adding an elite opposition-based learning methodology to an

This paper builds an integrated optimization model for the laminated plate to suppress the structural frequency response in a given frequency band, where the objective is to minimize the dynamic compliance of the structure excited by an external sinusoidal mechanical load with given amplitude and frequency range. The dynamic response analysis of the laminated structure is performed via a finite element

This paper investigates a kind of inverse problem for assessing the uncertainties of identified parameters with uncertainties in structural parameters and limited experimental data. The uncertainty is described by the interval model in which only the bounds of uncertain parameters are required. Directly solving this kind of inverse problem involves a double-loop problem where the outer-loop is interval

In this article, we study the heat transfer problems which typically occur in nonlinear models. Since nonlinearity causes time-consuming and difficulty in finding analytical solutions, we focus on the Chebyshev wavelets method which is a powerful computational scheme for approximating solutions. In the proposed method, we apply the Chebyshev wavelets to expand the solution through the corresponding

This article is the first attempt to employ deep learning to estimate the frequency performance of the rotating multi-layer nanodisks. The optimum values of the parameters involved in the mechanism of the fully connected neural network are determined through the momentum-based optimizer. The strength of the method applied in this survey comes from the high accuracy besides lower epochs needed to train

This article develops an optimal design method with multiple stages for a flexure mechanism. This mechanism can be employed as a rotary joint or a torsional spring. The developed method is a hybridization of density-based topology, multilayer perceptron, and water cycle-moth flame algorithm. Firstly, the topology design for flexure mechanism is conducted to create a draft shape of flexure mechanism

The pollution propagation within the underground water reservoirs is a challenging and important phenomenon. In the current work, the numerical simulation of pollution transport in an underground channel is performed using the meshless method. To account the anomalous dispersion in a general case, the variable order fractional mass transfer equation is utilized for a rectangular channel. The clean

The particle swarm optimization (PSO) is a population-based stochastic optimization technique by the social behavior of bird flocking and fish schooling. The PSO has a high convergence rate. It is prone to losing diversity along the iterative optimization process and may get trapped into a poor local optimum. Overcoming these defects is still a significant problem in PSO applications. In contrast,

Slime mold algorithm (SMA) is a recently developed meta-heuristic algorithm that mimics the ability of a single-cell organism (slime mold) for finding the shortest paths between food centers to search or explore a better solution. It is noticed that entrapment in local minima is the most common problem of these meta-heuristic algorithms. Thus, to further enhance the exploitation phase of SMA, this

This study aims to estimate the value and quantify the uncertainty of the compressive strength of circular concrete-filled steel tube (CCFST) columns under eccentric loading using a hybrid machine learning model, namely PANN, which is a combination of particle swarm optimization (PSO) and artificial neural networks (ANNs). A dataset of 241 experiments is collected and used to construct such a hybrid

The prediction of the potential of soil liquefaction induced by the earthquake is a vital task in construction engineering and geotechnical engineering. To provide a possible solution to such problems, this paper proposes two support vector machine (SVM) models which are optimized by genetic algorithm (GA) and grey wolf optimizer (GWO) to predict the potential of soil liquefaction. Field observation

In this paper, based on the improved interpolating moving least-squares (IMLS) method and the dimension splitting method, the interpolating dimension splitting element-free Galerkin (IDSEFG) method for three-dimensional (3D) potential problems is proposed. The key of the IDSEFG method is to split a 3D problem domain into many related two-dimensional (2D) subdomains. The shape function is constructed

In the current research, a comprehensive wave propagation analysis is performed on rotating viscoelastic nanobeams resting on Winkler-Pasternak foundations under thermal effects. Here, a novel non-classical mechanical model is developed to describe accurate wave propagation behavior for viscoelastic nanobeams. Employing nonlocal Eringen’s theory along with modified couple stress theory, our proposed

In this study, frequency simulation and critical angular velocity of a size-dependent laminated rotary microsystem using modified couple stress theory (MCST) as the higher-order elasticity model is undertaken. The centrifugal and Coriolis impacts due to the spinning are taken into account. The size-dependent thick annular microsystem's computational formulation, non-classical governing equations, and