The paper aims to improve the efficiency of modeling interactions between slender deformable bodies that resemble the shape of fibers. Interaction potentials are modeled as inverse-power laws with respect to the point-pair distance, and the complete body-body potential is obtained by pairwise summation (integration). To speed-up integration, we consider the analytical pre-integration of potentials

This paper focuses on the construction of nonlinear dynamic models, specifically targeting continuous chaotic systems. It introduces an innovative approach to integrating state variables and uncertain variables to construct continuous chaotic systems. Initially, a unified construction method is proposed, combining state variables with a determinable amplitude matrix. The feasibility of this method

This paper presents a novel approach for controlling the DLR-HIT II robotic hand by leveraging physics-informed neural networks (PINNs) for torque and position control. This method eliminates the need for additional control inputs or external controllers, achieving high precision and simplified dynamics, which is validated through extensive simulations that closely replicate experimental conditions

The mathematical modeling of compressible flows in both rigid and elastic pipes is discussed here. Both single- and two-phase flow modeling are considered in the present paper. First, the derivation of the models through the integration of the 3-D equations over the radially deformable inner pipe cross-section is described. Then, the Coleman-Noll procedure is used in order to formulate constitutive/closure

This study employs a symplectic approach to investigate the buckling behavior of decagonal symmetric two-dimensional quasicrystal plates. The symplectic approach, known for its high flexibility and broad applicability, has become an essential tool in elasticity theory for addressing complex boundary conditions and material characteristics. Quasicrystalline materials exhibit unique elastic responses

Algebraic soliton interactions with a periodic or quasi-periodic random force are investigated via the Benjamin-Ono equation, which models internal waves in a two-layer fluid. The random force is modeled as a Fourier series with a finite number of modes and random phases uniformly distributed, while its frequency spectrum has a Gaussian shape centered at a peak frequency. The expected value of the

In this paper, an event-triggered safe H∞ control approach is investigated for nonlinear continuous-time systems with asymmetric constrained-input and state constraints. The proposed method is based on adaptive dynamic programming and addresses systems with completely unknown dynamics. Firstly, the unknown dynamics is identified using three neural networks. Secondly, a novel nonquadratic type function

Compressed sensing(CS) has been identified to significantly accelerate magnetic resonance imaging from the highly under-sampled k-space data. In this paper, based on low-rank plus sparse (L plus S) decomposition model, we propose a new dynamic MRI(dMRI) reconstruction model by introducing the tensor-ring(TR) rank and ℓ1 − 2 norm constrained framework with an embedded Plug-and-Play(PnP) based regularization(TRLP)

Presently, there is worldwide consideration of Hydrogen pipelines as sustainable energy carriers as well as Carbon Dioxide pipelines for use in achieving net-zero goals through carbon capture and sequestration. For the purposes of planning expansions or new pipelines, typical design criteria like compressor maps, driver loads, etc., are used for simulations of pipeline capacity; however, it is often

The minimum acceleration stress directly affects the extrapolation accuracy and acceleration effect of the degradation model of the accelerated degradation test, which in turn affects the accuracy of the reliability assessment and the efficiency of the accelerated test. Aiming at the problem that the minimum acceleration stress is given empirically, this paper proposes a method to determine the minimum

The inverse heat conduction problem (IHCP) has significant applications across multiple disciplines. Traditional methods for IHCPs often require tedious and low-accuracy iteration, which frequently fails to meet engineering demands. Therefore, developing highly efficient and accurate methods for IHCP solutions is required. A novel meshfree least-squares stabilized collocation method (LSCM) for solving

A dynamic model of fiber polymer cylindrical shells covered with functional gradient protective coatings (FGCs) is proposed in this work to predict impact characteristics when low-velocity oblique impact loading is considered. The material properties of the FGCs attached to both the inner and outer surfaces of the structures is defined, and the related failure modes and different energy-absorbing mechanisms

The interaction between cracks is the main cause of material failure when the material contains multiple cracks. Using the classical Kachanov method and Fourier integral transformation, the thermoelastic behavior of one-dimensional hexagonal (1DH) quasicrystals (QCs) containing two asymmetric collinear cracks in a non-periodic plane is studied. Considering the interaction between cracks, the solutions

In this work bandgap formation and vibration attenuation properties in graded metastructure beams are studied. By using negative capacitance circuits and different grading laws on frequency spacing and arrangement of the piezoelectric and mechanical resonators, hybrid graded metamaterial beams are formed. This study emphasizes the potential of spatially graded metamaterials as a promising solution

Based on fractal theory, the tangential contact model for a joint surface, taking into account the contact angle between asperities, was developed by incorporating Gorbatikh's contact angle probability distribution function. Mathematical expressions for the stages of a single asperity and the entire joint surface were derived. The quantitative effects of fractal parameters, friction coefficient, material

The kinematic calibration of the robotic hand-eye system is formulated as solving the AX=XB problem, with calibration accuracy serving as the sole evaluation criterion. Whether the rotational and translational parts of the kinematic equations are calculated decoupled or not, being regarded as an important factor affecting the calibration accuracy, serves as a categorization criterion to form the separable

The extensive literature on the truck-drone routing problem (TDRP) from 2015 to 2024 is synthesized, driven by significant advancements in the field. The increasing volume of research indicates a sustained interest in the practical applications of TDRP in everyday scenarios. Despite the gap between theory and practice, the rapid development highlights its multi-disciplinary importance. A comprehensive

This article addresses the issue of civil aircraft weight and center-of-gravity position real-time estimation using the six-degree-of-freedom model with variable center of mass, and derives the explicit expressions for aircraft weight and longitudinal center-of-gravity. Firstly, the nonlinear six-degree-of-freedom aircraft model with center-of-gravity variations is established, where the moment correction

With the rapid development of urban rail transit systems, the issues of structural vibration and re-radiated noise in adjacent buildings have become increasingly prominent. This paper investigates the feasibility of a novel metamaterial-based Vibration Suppression Stories (VSSs) for mitigating train-induced structural vibrations from the perspective of vibration propagation. A Lumped Parameter Model

Reducing scanning time or radiation doses is a primary demand in computed tomography (CT) imaging. Few-view CT and limited-angle CT are considered as two effective imaging ways to meet this demand. However, they both face different challenges in practical applications, such as difficulties in technical implementation and image reconstruction. This study focuses on a special imaging strategy called

The third degree Moment-based Hermite model, which expresses a random variable as a cubic transformation of a standard normal variable, offers versatility in engineering applications. While its probability density function is not directly tractable, it is more complex to compute than the Gram-Charlier series, which, despite its simplicity, suffers from limitations such as positivity and unimodality

In this paper, the tracking control problem of gear transmission servo system with full-state constraints is studied, in which nonlinear dead zone and disturbance are considered. A backstepping tracking control strategy based on barrier Lyapunov function is proposed. First, a dynamic model of the gear transmission system considering nonlinear dead zone was established. Then, a disturbance observer

Fractional Differential Equations (FDEs) are essential tools for modelling complex systems in science and engineering. They extend the traditional concepts of differentiation and integration to non-integer orders, enabling a more precise representation of processes characterised by non-local and memory-dependent behaviours. This property is useful in systems where variables do not respond to changes

The mobility of devices in mobile Internet of Things (IoT) enables dynamic interactions, facilitating the spatiotemporal malware propagation. However, few studies have focused on accurately modeling and effectively controlling this form of malware propagation. To address this issue, we propose a theoretical framework that integrates patch-malware spreading dynamics with optimal patch allocation policy

The Maxwell Stress Tensor is a computationally efficient method for calculating the force and torque between two arbitrary collections of rigidly-connected permanent magnets, coils, and/or iron (soft magnet) segments, when using exact analytic magnetic field solutions. However, use of the tensor exacerbates numerical errors present in the closed-surface free space mesh of a region, whether that be

Perovskite membranes show significant promise for solar cells and optoelectronic devices due to their exceptional optoelectronic properties and mechanical flexibility. Understanding their vibration characteristics and dynamic responses under opto-electro-thermo-mechanical fields is crucial for their practical optoelectronic applications. This paper develops an opto-electro-thermo-mechanical model for

In this paper, an interval fractional programming problem is considered with the generalized division of intervals. A parametric non-fractional interval problem is formulated, and an equivalence between the fractional and parametric non-fractional problems is established. The necessary conditions are derived using the alternative theorem proposed and the linear independence constraint qualification

Vector and Pest control is an important issue in terms of Food and Health security all around the World. In this paper, we consider the issue of mass trapping strategies for interconnected areas, where traps can only be deployed in some of them. Assuming linear dispersal between the areas, we consider and study a metapopulation model, and explore the global effect of a linear control, achieved by an

It is of importance to determine the complex band property of damped periodic structures for the evaluation of their wave attenuation performance. In view of this, the current paper proposes a new analysis approach based on the energy method and the virtual spring model for the calculation of the complex band. Its essence is to use a virtual spring to simulate periodic boundary conditions such that

In this paper we analyze the dynamic aspect of a coupled system with a von Kármán type nonlinearity. First, using an approach of linear semigroup method combined with standard procedure for nonlinear evolution equations we obtain the global solution. Later, we use the energy perturbation method to establish the exponential decay of the solution as time goes to infinity. In the sequence, due to the

Shield tunneling in hard rock strata generates intense vibrations at the cutterhead, inducing accompanying vibrations in nearby foundation structures and ultimately reducing their bearing capacity. Numerous experiments and simulations were conducted to access the dynamic response of pile under shield tunneling vibrations, but theoretical explanations are not sufficiently reported. This study derived

This paper presents a novel Petrov-Galerkin free element method (PGPZ-FREM) based on a combination of the strong form free element method (FREM), sub-domain mapping technique, and Petrov-Galerkin method for analyzing piezoelectric structures. This is a brand new numerical method that combines the ideas of isogeometric method and meshless method. Similar to the isogeometric method, the computational

Chaotic maps can be used to make the distribution of the initial population more uniform, which improves the spatial exploration rate. Considering these advantages, this paper attempts to design search operations based on chaotic maps and develop a novel metaheuristic algorithm called the Logistic-Gauss Circle optimizer. The algorithm reasonably combines and reformulates the Logistic and Gauss maps

Flexible multibody dynamics has been developed as an effective method for analyzing mechanical structures, wherein the Hamiltonian formulation draws attention for advantages such as the systematic handling of systems with varying mass. However, the utilization of the finite element method typically results in a large number of variables, which deteriorates computational efficiency. An effective method

Hunting motion of railway vehicles frequently occurs due to severe operating conditions, significantly affecting trains’ running quality. This paper conducts a numerical investigation of the nonlinear stability of an in-train locomotive system subjected to longitudinal in-train forces, establishing a numerical model for the stability evaluation of a completely nonlinear locomotive system. The resultant

State-based peridynamics (SPD) is an effective method for simulating the fracture and damage behaviors of various materials. However, SPD may suffer from zero-energy mode problems, leading to numerical instabilities, e.g., response oscillations in displacement or stress, due to its nodal integration scheme. The issues are particularly pronounced under highly non-uniform external loading conditions

A practical fixed-time scheme with prescribed performance is proposed for the rehabilitation tasks of a two degrees-of-freedom upper-limb exoskeleton. Considering the transient and steady requirements, a time-varying function is designed to provide a prescribed upper-bound for the tracking errors and barrier Lyapunov function method is adopted to guarantee the inviolacies of the constraint requirements

Peridynamic (PD) constitutive relationship for cyclic elastoplasticity, especially Bauschinger effects, is still lacking, which hinders the full play of its unique advantages in fatigue analysis on problems of low-cycle-fatigue and effects of crack-tip plasticity. This study proposes an ordinary state-based peridynamic formulation for metal cyclic elastoplastic responses, in which the von Mises yield

We study the stability of some model problems in Celestial Mechanics, focusing on the dynamics around synchronous resonances, namely 1:1 commensurabilities among the main characteristic frequencies. In particular, we illustrate the following examples: the Earth's satellites dynamics, co-orbital asteroids, the rotational dynamics. Within such model problems we analyze, respectively, the stability of

An effective approach for the dynamic investigation of multiple interfacial cracks that emanate from circular holes in two bonded semi-infinite functionally graded piezoelectric materials (FGPM) has been devised. The interfacial cracks are considered to be permeable and are under the influence of steady-state SH waves. The boundary conditions are solved by utilizing the Green's function approach. The

The rotationally restrained stepped thick plates are widely applied as structural components for their merits on flexible rigidity distributions. However, the benchmark analytical free vibration solutions were intractable in terms of the complexities in treating the abrupt thickness changes and the rotationally restrained constraints involved. In this work, we develop an innovative symplectic analytical

Based on a state-constrained model predictive control strategy, incorporating relaxation factors into the cost function, we address open-loop instability and excessive vertical dynamic responses for high-speed maglev trains (velocity, acceleration) caused by track irregularities. This approach addresses the open-loop instability and the excessive vertical velocity and acceleration responses caused

Based on Shannon's decomposition theorem, decision diagrams can represent logical functions as directed acyclic graphs in a form that is both compact and canonical. Following the pioneering work of implementing binary decision diagrams for fault tree analysis in 1993, multiple forms of decision diagrams have been developed for the reliability analysis of complex systems in diverse applications such

This paper proposes three operator learning models based on the boundary integral equations method, which can solve linear elliptic partial differential equations on arbitrary 2D domains. The models presented in this paper do not require retraining when solving partial differential equations defined on new 2D geometric domains after initial training. By introducing boundary parameter equations, we

We develop an analytical approach to produce circumferential traveling waves in a lightly damped circular plate under the cyclic symmetry-breaking scenario caused by a local spring-mass oscillator, using three-point actuators distributed either uniformly or nonuniformly along a circumferential path. Modal analysis and forced vibration of the lightly damped plate-oscillator system are examined. The

The Water-Salt Transport Optimizer introduces a novel, nature-inspired metaheuristic model that blends the complexity of natural phenomena with computational efficiency for optimization tasks. Drawing inspiration from the transport of water and salt in soil, Water-Salt Transport Optimizer employs a unique, three-pronged approach: mechanical dispersion for global search, molecular diffusion for local

Wheeled mobile robots are essential mechatronic systems that have attracted attention in different applications in industry and for research. One essential task commanded to a wheeled mobile robot is following a desired reference signal. However, in practical situations, wheeled mobile robots are always affected by disturbances diminishing the closed-loop performance. Hence, this manuscript develops

This paper investigates the spatial steady-state responses of a system comprising a layered half-space coupled with surface oscillators to harmonic loading and the related factors through a semi–analytical framework. The proposed scheme utilizes the multiple scattering technique to reformulate the response field into associated parts described by Green's functions. The verified scheme, incorporating

We propose a new weighted average estimator for high-dimensional parameters under the distributed learning system, where the weight assigned to each coordinate across different agents is precisely proportional to the inverse of the variance of the local estimates for that agent. This strategy, on the one hand, enables the new estimator to achieve a minimal mean squared error, consistent with the current

The initial phases of milk coagulation for cheese manufacturing can be tracked by an integro-differential equation known as a population balance equation. In this article, a new analytical approach using multistage Bernstein polynomials is presented to solve a rennet-induced coagulation equation for the first time. The existence of the solution and convergence analysis of the proposed approach are

Thermo-electromechanical constitutive modeling and transient impact response of the piezoelectric structure are particularly important for the regulation/controlling of the vibration, energy harvesting and thermal/stress management with the extensive applications of the ultrafast laser technology in the micro-machining/processing of the piezoelectric devices. Nevertheless, the inherent spatial/temporal

This study investigates the mechanical behavior of a circular hole embedded in an infinite thermoelectric matrix subjected to uniform far-field current and energy flux. A weakly-conductivity surface model is employed to explore the impact of surface phonon scattering, while the complete Gurtin-Murdoch (G-M) surface model is simultaneously utilized to describe the effects of surface tension and surface

Microfluidic chips present considerable potential in biomedical analysis and high-throughput cell separation, owing to their efficient and precise microscale flow control capabilities. In microscale channels, the highly nonlinear mechanics of vortex mixing and flow pattern evolution pose challenges to solid-liquid mass transfer modeling and particle cluster control. To address the above challenge,

In this work, we propose a geometric framework for analyzing mechanical manipulation, for instance, by a robotic agent. Under the assumption of conservative forces and quasi-static manipulation, we use energy methods to derive a metric. In the first part of the paper, we review how quasi-static mechanical manipulation tasks can be naturally described via the so-called force-space, i.e. the cotangent

Traditional subspace clustering methods convert each sample into a vector, which destroys the original spatial structure of the data and affects the clustering results. Therefore, we propose a novel submodule clustering method, NTSCLG, which twists each sample matrix and stacks them into a tensor, greatly preserving the intrinsic structure of the data. NTSCLG utilizes the t-product operator to generalize

We develop a continuum percolation procedure for the aggregation of the elliptic fillers in the 2 and 3-dimensional media. Given random distributions for the locus and rotations of the elements with a specified original density p, each medium achieves chains of elements through overlapping to achieve a connection density of ρ. In this regard, typically 3D aggregation is more efficient than 2D due to

This paper investigates the fixed-time fault-tolerant formation-containment control problem for unmanned helicopters (UHs) with collision and obstacle avoidance. Firstly, a high-order fully actuated system model of the UH with actuator faults is developed, which includes position and attitude subsystems. Secondly, based on the null space method, the tasks performed by multiple UHs are decomposed into

Generalized Hammerstein models are defined as a type of Hammerstein models with a specific structure, consisting of a static nonlinear submodel connected with multiple switching dynamic linear submodels. They offer a separate structured representation for the overall static gains and changing dynamic characteristics of nonlinear systems, facilitating nonlinear inverse compensation and robust controller

This research proposes an elastoplastic analytical method for characterizing the plastic zone around a shallow circular tunnel, based on Mohr-Coulomb yield criterion. Using conformal mapping, we transformed a semi-infinite planar region with a vertically axisymmetric hole with arbitrary shapes into an annulus with a simple boundary shape. The combined effect of the unit weight of surrounding rock and