Applied Mathematical Modelling

Article	Citations
A generalized objective function based on weight coefficient for topology-finding of tensegrity structures	220
Balanced truncation for reduced‐order modeling of Piezoelectric Tonpilz Transducer on the limited frequency interval	140
A simple yet effective ALE-FE method for the nonlinear planar dynamics of variable-length flexible rods	108
Seismic response analysis of a seawater–stratified seabed–bedrock system based on a fractional derivative viscoelastic model	106
Adaptive physics-informed neural networks for dynamic coupled thermo-mechanical problems in large-size-ratio functionally graded materials	105
Dual auto-parametric resonance-based broadband vibration suppression with weakened spill-over effect	94
Finite-time region-partitioning intermittent stabilization of memristor-based neural networks and its application	92
Multi-material topology optimization design of microstructures with extreme mechanical properties	83
Vibration PID control design by receptance-based partial eigenstructure assignment	83
Characterization of non-spherical particle tribocharging during horizontal pneumatic conveying	82
Periodic traveling waves in a taut cable on a bilinear elastic substrate	81
Alternating direction method of multipliers for nonconvex log total variation image restoration	81
A truncated generalized Huber prior for image smoothing	80
Analytical study of Bragg resonances by a finite periodic array of congruent trapezoidal bars or trenches on a sloping seabed	80
An interactive grey multivariable model based on the dynamic accumulative driving effect and its application	76
Robot manipulator tracking control with conquering joint physical limits at angle and velocity layers based on different-layer equivalency technique	73
Analysis of layered rectangular plates under thermo-mechanical loads considering temperature-dependent material properties	71
Weakened fractional-order accumulation operator for ill-conditioned discrete grey system models	71
Interval uncertainty propagation by a parallel Bayesian global optimization method	68
Controlling the natural convection of a non-Newtonian fluid using a flexible fin	68
Unified inverse isogeometric analysis and distributed fiber optic strain sensing for monitoring structure deformation and stress	67
Generalized semi-analytical solution for coupled multispecies advection-dispersion equations in multilayer porous media	65
Neural network stochastic differential equation models with applications to financial data forecasting	65
An analytical approximate solution for stress and displacement around a shallow circular tunnel excavated under concave slope topography	62
A new active-learning function for adaptive Polynomial-Chaos Kriging probability density evolution method	62

Applications of the multi-sigmoidal deterministic and stochastic logistic models for plant dynamics	61
Modified shallow water model for viscous fluids and positivity preserving numerical approximation	61
A rate-dependent constitutive model of piezoelectric thermoelasticity and structural thermo-electromechanical responses analysis to multilayered laminated piezoelectric smart composites	61
Retraction notice to “A hybrid Finite element-Meshfree method based on partition of unity for transient wave propagation problems in homogeneous and inhomogeneous media” Applied Mathematical Modelling	60
Editorial Board	59
Adaptive predefined time neural filtered control design for an uncertain nonlinear system and application to flight control	58
An embedding approach to multilayer diffusion problems with time-dependent boundaries on bounded and unbounded domains	58
The effects of Casimir, van der Waals and electrostatic forces on the response of nanosensor beams	57
Theoretical, numerical and experimental studies on double-frequency synchronization of three exciters in dynamic vibration absorption system	56
Singular integral based closed-form solutions for modified EMPS models in semipermeable magneto-electro-elastic materials	56
Analysis of the band structure of transient in-plane elastic waves based on the localized radial basis function collocation method	55
Long-range dependence and heavy tail characteristics for remaining useful life prediction in rolling bearing degradation	55
Effects of electronic throttle dynamics in non-equilibrium heterogeneous traffic flow without lane discipline	54
A global-local hybrid strategy with adaptive space reduction search method for structural health monitoring	53
Vibration attenuation characteristics of squeeze film dampers in spiral bevel gear systems	53
Dynamic modeling and analysis of two-span rotor-pedestal system with bearing tilt and extended defect: Simulation and experiment	53
Local and global sensitivity analysis of spheroid and xenograft models of the acid-mediated development of tumor malignancy	52
Influence of various balls and groove curvature radii on dynamic stiffness of ball bearings based on nonlinear dynamic model	52
Accurate regularized Tucker decomposition for image restoration	52
On Boussinesq and Coriolis coefficients and their derivatives in transient pipe flows	51
Stochastic analysis of an acoustic black hole piezoelectric energy harvester under Gaussian white noise excitation	51
Cylindrical indentation in micropolar elasticity	51
Impact response of fractionally damped rectangular plates made of viscoelastic composite materials	51
Modeling dependent series systems with q-Weibull distribution and Clayton copula	50
Natural frequency analysis of shells of revolution based on hybrid dual-mixed hp<	50
Statistical analysis of adaptive type-II progressively censored competing risks for Weibull models	50
Semi-analytical model of vehicle-pavement-continuous beam bridge coupled system	50
A new method for estimating the bending stiffness curve of non-uniform Euler-Bernoulli beams using static deflection data	48
Enhancing wildfire propagation model predictions using aerial swarm-based real-time wind measurements: A conceptual framework	48
Design of a multifunctional elastic wave metamaterial for detecting or hiding objects	48
Simulation of the nonplanar three-dimensional thermal cracking using the finite element-meshfree method	48
Analytical solutions for joints in an infinite Euler-Bernoulli beam on a viscoelastic foundation subjected to time-lag loads	48
Analytical model for damping behaviour of an orthotropic cantilever hollow member with polygonal perforations	47
Applications of Randers geodesics for wildfire spread modelling	46
Editorial Board	46
Editorial Board	45
Pore-scale simulation of salt fingers in porous media using a coupled iterative source-correction immersed boundary-lattice Boltzmann solver	45
Advanced Reference-Constrained Image Restoration Algorithm	45
Weak-form differential quadrature element analysis of plate on a tensionless and frictional foundation using a higher-order kinematics	45
Scheduling with a processing time oracle	43
Formation tracking of multi-robot systems with switching directed topologies based on Udwadia-Kalaba approach	43
Image trinarization using a partial differential equation: A novel approach to automatic sperm image analysis	43
Editorial Board	43
An integrated mathematical method for traffic analysis of elevator systems	42
A face-centred finite volume approach for coupled transport phenomena and fluid flow	42
Dynamical behavior and optimal control of a vector-borne diseases model on bipartite networks	42
A novel maximum volume sampling model for reliability analysis	42
Stability analysis of energy dissipation mechanisms in rocks surrounding circular opening	41
Comments on “New approximations for solving the Caputo-type fractional partial differential equations”	41
A new solver for incompressible non-isothermal flows in natural and mixed convection over unstructured grids	41

A new approach for dynamic crack propagation modeling based on meshless Galerkin method and visibility based criterion	41
Existence of solution and uniform decay for a contact problem in laminated beam	41
A continuum electro-mechanical model of ultrasonic Langevin transducers to study its frequency response	40
Galloping analysis of the main cable in construction: An advanced nonlinear scheme	40
Multi-mode response spectrum for multi-harmonic crowd jumping loads	40
Editorial Board	39
Analysis of bending deformation considering shear effect in graphene nanoribbons coated with nano-film	39
Computationally efficient higher-order three-scale method for nonlocal gradient elasticity problems of heterogeneous structures with multiple spatial scales	39
Influence of temperature on the elastic properties of graphene and graphene-like nanosheets based on the asymptotic homogenization method	39
A bed pressure correction of the friction term for depth-averaged granular flow models	39
Editorial Board	38
Editorial Board	38
Scale-free dynamics of COVID-19 in a Brazilian city	38
Outbreak or extinction of bovine cysticercosis and human taeniasis: A Stochastic modelling approach	38
A pseudo-equilibrium finite element for limit analysis of Reissner-Mindlin plates	38
Thermomechanical vibration and buckling response of magneto-electro-elastic higher order laminated nanoplates	38
Analytical method for mechanical analysis of multiple shallow tunnels with concrete linings	37
Novel perturbation solutions for deep-buried non-circular tunnels under biaxial in situ stress field based on Mohr-Coulomb criterion	37
A high-performance displacement prediction model of concrete dams integrating signal processing and multiple machine learning techniques	37
Proper Orthogonal Decomposition Analysis of Coherent Structure in a Turbulent Flow after a Micro-vortex Generator	37
On use of train-track-subgrade dynamic model for investigating the train-induced cumulative deformation of subgrade and its dynamic effects	37
Gaussian expansion element method of the new dynamic modeling technique in non-uniform and variable cross-section structures	37
Modeling approach for flexible shaft-disk-drum rotor systems with elastic connections and supports	36
Analytical solution for the response of lined trapezoidal canals under soil frost action	36
Modeling a turbulent multicomponent fluid with variable density using a two-fluid approach	35
Generalized hierarchical expected improvement method based on black-box functions of adaptive search strategy	35
An envelope-function-based algorithm for time-dependent reliability analysis of structures with hybrid uncertainties	35
Probabilistic CFD analysis on the flow field and performance of the FDA centrifugal blood pump	35
Eulerian–Lagrangian modeling of spray G atomization with focus on vortex evolution and its interaction with cavitation	35
Probabilistic and cost analyses of a renewable warranty with an inspection policy for a discrete operating item from a heterogeneous population	34
Design, modelling, implementation, and trajectory planning of a 3-DOF cable driven parallel robot	34
Effect of elastic restraints in the modeling of prestressed piezoelectric energy harvesters	34
Analysis of one-shot device testing data under logistic-exponential lifetime distribution with an application to SEER gallbladder cancer data	34
A novel multi-scale modeling strategy based on variational asymptotic method for predicting the static and dynamic performance of composite sandwich structures	33
Analysis and verification of cable pretension effect on the buckling load of a single-link flexible mechanism	33
An adapted two-step approach to simulate nonlinear vibrations of patterned tires rolling on a smooth surface	33
Assessing the Impact of Contact Tracing, Quarantine and Red Zone on the Dynamical Evolution of the Covid-19 Pandemic using the Cellular Automata Approach and the Resulting Mean Field System: A Case st	33
The applicability of Zermelo's equation to indirect and direct optimization of commercial aircraft flights	33
The optimal design of dynamic systems with negative stiffness inertial amplifier tuned mass dampers	32
Optimal control for transboundary pollution under inter-temporal transfer of emission permits: A differential game approach	32
Study on two-dimensional creep effects of RC slab structures	32
A wide-bandwidth MEMS energy harvester based on a novel voltage-sliding stiffness tunability	32
Numerical investigation of particle deflection in tilted-angle standing surface acoustic wave microfluidic devices	32
Efficient uncertainty quantification of CFD problems by combination of proper orthogonal decomposition and compressed sensing	32
An efficient imperialist competitive algorithm with likelihood assimilation for topology, shape and sizing optimization of truss structures	32
Editorial Board	32
Dynamic optimization for coordinated replenishment system considering seasonal demand and price quantity discount	31
Numerical investigation of noise suppression and amplification in forced oscillations of single and tandem cylinders in high Reynolds number turbulent flows	31
Mechanisms of resistance to CAR-T cell immunotherapy: Insights from a mathematical model	31
A novel clustering approach based on grey possibility functions for multidimensional systems	31
Tracing curvature paths on trimmed multipatch surfaces	31
Accurate buckling analysis of magneto-electro-elastic cylindrical shells subject to hygro-thermal environments	31
Stochastic nonlinear model updating in structural dynamics using a novel likelihood function within the Bayesian-MCMC framework	31
Zonal modeling of air distribution impact on the long-range airborne transmission risk of SARS-CoV-2	31
Modelling of critical speed of railway tracks on a multi-layered transversely isotropic saturated ground	31
Mathematical modelling of Banana Black Sigatoka Disease with delay and Seasonality	31
A Fourier neural operator-based lightweight machine learning framework for topology optimization	31
Image compression-hiding algorithm based on compressive sensing and integer wavelet transformation	30
Path integration solutions for stochastic systems with Markovian jumps	30
Designing compact, connected and gap-free reserves with systematic reserve site selection models	30
Dynamic behavior of stochastic prostate cancer system with comprehensive therapy under regime switching	30
Application of a high-performance grey prediction model to predict the cardiovascular disease mortality in elderly Chinese residents	29
A unified updated Lagrangian smoothed particle hydrodynamics for fluid-structure interaction problems with moving boundaries and interfaces	29
Stochastic reserving using policyholder information via EM algorithm	29
A novel particle filtering for nonlinear systems with multi-step randomly delayed measurements	29
Optimization approaches to Wolbachia-based biocontrol	29
Analyzing Time-Dependent Rock-Concrete Interaction: A Solution for Non-Circular Tunnels	29
Neutron optics: New algorithm based on Green's functions for simulating waveguides with Dirichlet boundary conditions	29
Short-term traffic flow prediction based on a hybrid optimization algorithm	29
A deformation procedure using position-based dynamics to optimize the geometric model of woven fabrics	29
On a quasi-zero stiffness vibration isolator with multiple zero stiffness points for mass load deviation	29
Cooperative inventory games in multi-echelon supply chains under carbon tax policy: Vertical or horizontal?	29
A new homotopy approach for stochastic static model updating with large uncertain measurement errors	28
A novel hybrid adaptive scheme for Kriging-based reliability estimation – A comparative study	28
Shape of a single inclusion enclosing uniform stress for a non-uniform far-field loading in anti-plane shear	28
Analytical solution for arbitrary large deflection of geometrically exact beams using the homotopy analysis method	28
Effects of membrane polarization, steric repulsion and ion-solvent interactions on electroosmosis through a conical nanopore	28
Grain-based morphological simulation via fractal theory with experimental verification and corresponding optical properties in laser melting deposition additive manufacturing: A demystified approach	28
Bending of hyperelastic beams made of transversely isotropic material in finite elasticity	28
Modeling and evaluation of dynamic degradation behaviours of carbon fibre-reinforced epoxy composite shells	28

Applications of an improved Dixon elimination method for the inverse kinematics of 6R manipulators	28
A Laplace asymptotic integral-based reliability analysis method combined with artificial neural network	28
Portfolio optimization in real financial markets with both uncertainty and randomness	28
Influences of crack-face electric boundary conditions on stress intensity factors of ferroelectric single crystals	28
Friction-induced planar vibration of two rigid plates	27
Diffusion in multi-dimensional solids using Forman’s combinatorial differential forms	27
Joint energy capacity and production planning optimization in flow-shop systems	27
The lot size problem and the learning curve: A review of mathematical modeling (1950’s -2020)	27
Performance analysis of a geometrically nonlinear isolation system subjected to high levels of excitation	27
State transition-based novel dynamic control algorithm for vehicle-following performance improvement	27
An analytical framework for local and global system kinematic reliability sensitivity of robotic manipulators	27
Derivation of a quasi-linear second-order elliptic-parabolic model for the efficiency of silicon solar cells	27
A hierarchical control scheme for multiple aerial vehicle transportation systems with uncertainties and state/input constraints	27
Motion control of the spherical robot rolling on a vibrating plane	27
Conservative second-order accurate finite-difference scheme for the coupled Maxwell-Dirac equations	27
Disturbance inspired equilibrium optimizer with application to constrained engineering design problems	26
On the mean-parameterized Bell–Touchard regression model for count data	26
Nonlinear IGABEM formulations for the mechanical modelling of 3D reinforced structures	26
A novel generalized odd log-logistic Maxwell-based regression with application to microbiology	26
Concurrent topology optimization design for CNT orientation and CNTRC layout	26
Equivalent circuit modelling of large hydropower plants with complex tailrace system for ultra-low frequency oscillation analysis	26
Effects of intraguild prey dispersal driven by intraguild predator-avoidance on species coexistence	26
Adaptive and reversed penalty for analysis of high-dimensional correlated data	26
Methods to introduce floating bridge motion and wind excitation on a model for the investigation of heavy vehicle dynamics	26
Optimal replenishment strategy for a single-manufacturer multi-retailer cold chain considering multi-stage quality degradation	25
Simplified hydrodynamic-wave particle method for the multiscale rarefied flow	25
Variable stage self-correcting grey clustering model	25
SOC-reactivity analysis for a newly defined class of two-dimensional soil organic carbon dynamics	25
Fixed-time neural network trajectory tracking control for the rigid-flexible coupled robotic mechanisms with large beam-deflections	25
A two-relaxation-time lattice Boltzmann study on the Soret and Dufour effects of double-diffusive convection over a rough surface	24
Forced vibration of two-degrees-of-freedom machine tool feed system with clearance and friction	24
Production decision making considering dual material types and setup time uncertainty	24
Semi-decoupled first-order correction for smoothed particle hydrodynamics	24
Analysis of bifurcation and chaotic behavior for the flexspline of an electromagnetic harmonic drive system with movable teeth transmission	24
Fractional model for the spread of COVID-19 subject to government intervention and public perception	24
Multi-scale analysis and Galerkin verification for dynamic stability of axially translating viscoelastic Timoshenko beams	24
A continuum-discrete multiscale coupling method for pristine and defected single-walled carbon nanotubes	24
Enrichment of three-dimensional numerical manifold method with cover-based contact theory for static and dynamic mechanical response analysis	24
A hybrid analytical method for predicting vibrations in vacuum and water of the sandwich plate with z-direction reinforcements and cavities	24
Considering pickers’ learning effects in selecting between batch picking and batch-synchronized zone picking for online-to-offline groceries	24
Novel Girsanov correction based Milstein schemes for analysis of nonlinear multi-dimensional stochastic dynamical systems	24
Micro-combustion modelling with RBF-FD: A high-order meshfree method for reactive flows in complex geometries	24
3D mechanical analysis of a self-contractile cell with stress fibers reorganization	24
Investigation on springback behaviours of hexagonal close-packed sheet metals	24
Complex switching dynamics and chatter alarm for aerial agents with artificial potential field method	24
Dynamic response analysis of nonlinear structures with hybrid uncertainties	24
Studying the role of random translocation of GLUT4 in cardiomyocytes on calcium oscillations	24
Anti-plane dynamics of right-angle rare earth giant magnetostrictive medium with cylindrical conducting inclusion	24
A minimal model of glucose-stimulated insulin secretion process explores factors responsible for the development of type 2 diabetes	24
An explicit approach for simultaneous shape and topology optimization of shell structures	24
Simplified matching pursuits applied to 3D nuclear reactor temperature distribution construction	23
Algorithm for rapidly predicting the worst surface accuracy of deployable mesh reflectors	23
Time-varying external archive differential evolution algorithm with applications to parallel mechanisms	23
Impact of surface hydrophobicity and ion steric effects on the electroosmotic flow and ion selectivity of a conical nanopore	23
A novel fuzzy algorithm for assembly precision management	23
Static bending and forced vibration analyses of a piezoelectric semiconductor cylindrical shell within first-order shear deformation theory	23
Primal-dual hybrid gradient image denoising algorithm based on overlapping group sparsity and fractional-order total variation	23
Flavoring search algorithm with applications to engineering optimization problems and robot path planning	23
Modelling the variation and uncertainty problem of right-turn-on-red queue in a variety of conflicting environments	23
NURBS-based IGA of viscous fluid movement with special-shaped small gaps in hybrid bearing	23
Modeling of Multi-stepped Rotor-bearing Systems by the Continuous Segment Method	23
An interval spline finite point method for size-dependent mechanical behaviors of defective functionally graded material nanobeam	23
Calibration of a radiation quality model for sparse and uncertain data	23
Algorithm for controlling an inertioid robot with a flywheel and an unbalance in conditions of restrictions on the angular acceleration of the unbalance	23
On the coupled thermo-hydro-mechanical behaviors of layered porous media by the transformed differential quadrature method	22
An inextensible model for the robotic manipulation of textiles	22
Comparison of low Reynolds number turbulence and conjugate heat transfer modelling for pin-fin roughness elements	22
A flexible count regression model with varying precision	22
Effects of cell orientation on drug delivery into biological tissues: A computational study	22
Guided regularization and its application for image restoration	22
A sphere-triangle contact model with complex boundary face problems	22
The stiffness characteristics analysis of the duplex angular contact ball bearings based on a comprehensive multi-degree-of-freedom mathematical model	22
Transient thermal response with nonlocal radiation of a blast furnace main trough	22
Analysis of the most probable exit path in the synthetic gene network with genetic toggle	22
Nonconvex Rician noise removal via convergent plug-and-play framework	22
A semianalytical Hertzian frictional contact model in 2D	22
Wave interaction with an elliptic disc submerged in a two-layer fluid	22
Thermal analysis of a perforated laminated plate with multiple random elliptical holes by specially formulated finite elements	22
Modal characteristics of sagged-cable-crosstie systems. Part 1: Modeling and validation	22
Vibration suppression of a platform by a fractional type electromagnetic damper and inerter-based nonlinear energy sink	22
Vibration and wave propagation in functionally graded beams with inclined cracks	22
Evidence-based uncertainty quantification for bending properties of bimetal composites	22
Coupled two-dimensional model for heavily sediment-laden floods and channel deformation in a braided reach of the Lower Yellow River	22
Theoretical analysis of transverse and planar vibrations for the piezoceramic disk based on Mindlin plate theory	21
A sequential linear complementarity problem for multisurface plasticity	21
Time-dependent system reliability analysis for mechanical on-load tap-changer with multiple failure modes	21
Prediction of demand for staple food and feed grain by a novel hybrid fractional discrete multivariate grey model	21
Exact analytical solution for deep tunnels in viscoelastic–plastic rock considering the actual loading path	21
Equivalent micropolar model for porous guided bone regeneration mesh: Optimum design for desired mechanical properties	21
Benchmark solutions for the dynamic analysis of general rotor-bearing system with arbitrary linear boundary conditions	21
An effective model for bolted flange joints and its application in vibrations of bolted flange joint multiple-plate structures: Theory with experiment verification	21
Goal programming model applied to waste paper logistics processes	21
An algorithm for finding optimal sensor placement and model uncertainty in data assimilation applied to Riemann problems	21
Quantifying the fatigue life of wind turbines in cyclone-prone regions	21
Analysis of a fractional epidemic model by fractional generalised homotopy analysis method using modified Riemann - Liouville derivative	21