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Showing papers in "Applied Mathematical Modelling in 2022"


Journal ArticleDOI
TL;DR: In this article , the authors considered the fourth-order nonlinear Schrödinger equation (FNLSE) derived from Lakshmanan-Porsezian-Daniel equation which is describing the propagation of PQS in optical fiber systems.

76 citations


Journal ArticleDOI
TL;DR: In this article, the authors considered the fourth-order nonlinear Schrodinger equation (FNLSE) derived from Lakshmanan-Porsezian-Daniel equation which is describing the propagation of PQS in optical fiber systems.

75 citations


Journal ArticleDOI
TL;DR: Demand has the most effect on this CLSC network in which that a 25 percent decrease in demand can increase the total cost up to 40 percent and improve employment efficiency up to around 30 percent, simultaneously.

56 citations


Journal ArticleDOI
TL;DR: In this paper , a closed-loop supply chain (CLSC) network for the avocado industry is designed by developing a bi-objective model considering the costs of the industry and the social factor of job employment opportunities.

50 citations


Journal ArticleDOI
TL;DR: The simplified electromagnetic force/torque model and coupled orbit-attitude dynamics modeling in spacecraft electromagnetic docking are investigated, and an improved sliding mode control scheme based on planned trajectory is proposed.

41 citations


Journal ArticleDOI
TL;DR: In this article , the authors investigated the simplified electromagnetic force/torque model and coupled orbit-attitude dynamics modeling in spacecraft electromagnetic docking, and an improved sliding mode control scheme based on planned trajectory was proposed.

40 citations


Journal ArticleDOI
TL;DR: In this article , a magnetic field coupling fractional step lattice Boltzmann (FSLB) model is proposed to simulate the complex interfacial behaviors in magnetic multiphase flows with severe interface deformation and large density ratio, which can be recovered to the corresponding macroscopic governing equations with fully second-order accuracy.

36 citations


Journal ArticleDOI
TL;DR: In this paper, the authors proposed a novel 4D HR model with a threshold flux-controlled memristor (MHR), which describes the electromagnetic induction effect and can describe the complex dynamics of neurons' electrical activities with fewer parameters than the existing models.

35 citations


Journal ArticleDOI
TL;DR: In this paper , the authors proposed a novel 4D HR model with a threshold flux-controlled memristor (MHR), which describes the electromagnetic induction effect and can describe the complex dynamics of neurons' electrical activities with fewer parameters than the existing models.

33 citations


Journal ArticleDOI
TL;DR: In this article, the authors proposed a new heavy tail degradation model, in which the fractional L e − vy stable motion is used as a diffusion term to establish a degradation model with power rate drift.

33 citations


Journal ArticleDOI
TL;DR: In this paper, a functionally graded graphene reinforced composite (GRC) cylindrical panel subjected to transverse excitation is considered and nonlinear partial differential equations of motion are established within the framework of Hamilton principle in conjunction with first-order shear deformation theory (FSDT) and von Karman geometric nonlinearity.

Journal ArticleDOI
TL;DR: In this paper , a functionally graded graphene reinforced composite (GRC) cylindrical panel subjected to transverse excitation is considered and nonlinear partial differential equations of motion are established within the framework of Hamilton principle in conjunction with first-order shear deformation theory (FSDT) and von Karman geometric nonlinearity.

Journal ArticleDOI
TL;DR: A new framework for the two- and three-dimensional topology optimization (TO) of the weakly-coupled fluid–structure system using a reaction–diffusion equation (RDE) for updating the level-set function based on the topological sensitivity.

Journal ArticleDOI
TL;DR: It is demonstrated that the new PST incorporating with the CCF shows satisfactory performance to improve the conservation of total fluid volume, and to obtain more uniform particle distribution in the proximity of the free-surface.

Journal ArticleDOI
TL;DR: In this article , a vectorial surrogate modeling (VSM) method is developed to synchronously establish an overall model of complex structures with multiple objectives, which can synchronously approximate to many limit state functions of reliability problems.

Journal ArticleDOI
TL;DR: In this paper, the buckling and postbuckling performances of functionally graded graphene platelets reinforced composite (FG-GPLRC) plate under external electric field were evaluated by effective medium theory (EMT) while the Poisson's ratio was calculated by rule of mixture.

Journal ArticleDOI
TL;DR: In this paper , the dynamic responses of the vehicle and asphalt pavement coupled system while considering road surface unevenness and deformation were solved by decoupling the vehicle-pavement coupled system into two subsystems and solving them independently until the surface deformation has converged through an iterative scheme.

Journal ArticleDOI
TL;DR: In this article , the buckling and postbuckling performances of functionally graded graphene platelets reinforced composite (FG-GPLRC) plate under external electric field were investigated, and the results indicated that the stability of FG-GplRC plate is correlated to several factors, including the average volume fraction of GPLs, functionally graded distribution, slope factor and the parameters of the electric field.

Journal ArticleDOI
TL;DR: In this paper , a rigorous solution for axial kinematic response of floating piles under vertically incident P-waves is derived directly from the governing equation of motion using the separation of variables method.

Journal ArticleDOI
TL;DR: In this article , the degradation trend of bearing is extracted by the characteristic factor and the variational mode decomposition, and the degradation model with power-law drift is established based on the fractional Levy stable motion.

Journal ArticleDOI
TL;DR: In this article, the nonlinear dynamics of a simply-supported fluid-conveying composite pipe subjected to axial tension in sub- and super-critical regimes are investigated, where the tension acting on the pipe is assumed to comprise an average component and a harmonically changing disturbance component.

Journal ArticleDOI
TL;DR: In this article , an analytical model for the horizontal vibration of a single pile embedded in the radially heterogeneous saturated soil is established by employing Biot's dynamic equations and Novak's thin-layer theory.

Journal ArticleDOI
TL;DR: In this article , the authors propose a new framework for the two-and three-dimensional topology optimization (TO) of the weakly-coupled fluid-structure system using a reactiondiffusion equation (RDE) for updating the level-set function based on the topological sensitivity.

Journal ArticleDOI
TL;DR: In this paper , the nonlinear dynamics of a simply-supported fluid-conveying composite pipe subjected to axial tension in sub- and super-critical regimes are investigated, where the tension acting on the pipe is assumed to comprise an average component and a harmonically changing disturbance component.

Journal ArticleDOI
TL;DR: In this article , the coupled modeling and vibration behaviors of a spinning assembled cylindrical shell-plate structure were investigated and the results of the analysis were verified by the finite element method.

Journal ArticleDOI
TL;DR: In this article , a Corrective Cohesion Force (CCF) between a target particle and its interacting particles is introduced to provide adaptive compensation corresponding to the particle repositioning.

Journal ArticleDOI
TL;DR: In this paper , a 3D torsional soil-pile interaction model was proposed and the corresponding analytical solution for the 3D dynamic torsion impedance at the pile cross-section with the adoption of the Laplace transform, variable separation, and impedance transfer method.

Journal ArticleDOI
TL;DR: In this article , a dynamic modeling method is proposed for shaft-disk-drum (SDM) rotor systems with elastic connections and supports, upon which coupling vibrations of disk, drum and shaft are investigated.

Journal ArticleDOI
TL;DR: In this article , a segment-to-segment mortar frictionless contact method for total-Lagrangian smoothed particle hydrodynamics is presented, which employs Lagrangian kernel, kernel gradient correction, and hourglass control to improve its accuracy, convergence property , and stability.

Journal ArticleDOI
TL;DR: An effective approach is proposed to predict the remaining fatigue life (RFL) of structures with stochastic parameters using the ensemble learning algorithm, which employed multiple machine-learning algorithms to learn useful degradation patterns of the structures from the XFEM datasets.