Applied Mathematical Modelling

Article	Citations
Selecting appropriate machine learning methods for digital soil mapping	226
Atomic orbital search: A novel metaheuristic algorithm	156
A novel interval dynamic reliability computation approach for the risk evaluation of vibration active control systems based on PID controllers	116
Vibration isolation and energy harvesting integrated in a Stewart platform with high static and low dynamic stiffness	108
A new-structure grey Verhulst model: Development and performance comparison	105
A coupled incompressible SPH-Hamiltonian SPH solver for hydroelastic FSI corresponding to composite structures	93
The dynamic characteristics of pure-quartic solitons and soliton molecules	90
Forecasting the renewable energy consumption of the European countries by an adjacent non-homogeneous grey model	86
Influence of homogenization models on size-dependent nonlinear bending and postbuckling of bi-directional functionally graded micro/nano-beams	84
A novel time-delay multivariate grey model for impact analysis of CO2 emissions from China’s transportation sectors	82
A novel car-following inertia gray model and its application in forecasting short-term traffic flow	79
A novel Grey Bernoulli model for short-term natural gas consumption forecasting	77
Large-amplitude oscillations of composite conical nanoshells with in-plane heterogeneity including surface stress effect	70
Designing a Closed-loop Supply Chain Network Considering Social Factors; A Case Study on Avocado Industry	69
Free vibration response of smart sandwich plates with porous CNT-reinforced and piezoelectric layers	69
Analytical features of the SIR model and their applications to COVID-19	69
A mesh stiffness method using slice coupling for spur gear pairs with misalignment and lead crown relief	68
A fractal Boussinesq equation for nonlinear transverse vibration of a nanofiber-reinforced concrete pillar	68
Free vibration analysis of a rotating graphene nanoplatelet reinforced pre-twist blade-disk assembly with a setting angle	66
Active control of dynamic behaviors of graded graphene reinforced cylindrical shells with piezoelectric actuator/sensor layers	66
The role of surrogate models in the development of digital twins of dynamic systems	66
Design of a combined wind speed forecasting system based on decomposition-ensemble and multi-objective optimization approach	65
Passenger flow control strategies for urban rail transit networks	64
Design of multi innovation fractional LMS algorithm for parameter estimation of input nonlinear control autoregressive systems	63
Modeling of memristor-based Hindmarsh-Rose neuron and its dynamical analyses using energy method	62

Analytical solution for horizontal vibration of end-bearing single pile in radially heterogeneous saturated soil	61
Recycling channel selection and coordination in dual sales channel closed-loop supply chains	61
An unequal adjacent grey forecasting air pollution urban model	59
Robotic disassembly line balancing problem: A mathematical model and ant colony optimization approach	59
A computational framework of kinematic accuracy reliability analysis for industrial robots	59
An optimization method for control parameters of underwater gliders considering energy consumption and motion accuracy	59
Dynamical analysis of spinning functionally graded pipes conveying fluid with multiple spans	59
Malaria and COVID-19 co-dynamics: A mathematical model and optimal control	58
Self-adaptive salp swarm algorithm for engineering optimization problems	56
Harris Hawks optimization with information exchange	56
Stability and bifurcation analysis for a fractional prey–predator scavenger model	55
Review of fractional epidemic models	55
A magnetic field coupling fractional step lattice Boltzmann model for the complex interfacial behavior in magnetic multiphase flows	55
The fractional Kelvin-Voigt model for circumferential guided waves in a viscoelastic FGM hollow cylinder	54
A quantum-behaved simulated annealing algorithm-based moth-flame optimization method	54
Material optimization of tri-directional functionally graded plates by using deep neural network and isogeometric multimesh design approach	53
Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load	53
Feed-in tariff or tax-rebate regulation? Dynamic decision model for the solar photovoltaic supply chain	52
An analytical model for rapid predicting molten pool geometry of selective laser melting (SLM)	51
A NURBS-based Multi-Material Interpolation (N-MMI) for isogeometric topology optimization of structures	50
Long-range dependence and heavy tail characteristics for remaining useful life prediction in rolling bearing degradation	50
Nonlinear vibrations of functionally graded graphene reinforced composite cylindrical panels	49
Coupled orbit-attitude dynamics and trajectory tracking control for spacecraft electromagnetic docking	49
A new hybrid optimization ensemble learning approach for carbon price forecasting	48
Elastic buckling and free vibration analysis of functionally graded Timoshenko beam with nonlocal strain gradient integral model	48
Numerical approach for modeling fractional heat conduction in porous medium with the generalized Cattaneo model	48
Multi-period dynamic distributionally robust pre-positioning of emergency supplies under demand uncertainty	47
The scaled boundary finite element method based on the hybrid quadtree mesh for solving transient heat conduction problems	46
Enhanced salp swarm algorithm based on firefly algorithm for unrelated parallel machine scheduling with setup times	45
Optimal lot-sizing and shipment decisions in a three-echelon supply chain for growing items with inventory level- and expiration date-dependent demand	45
Dynamics of perforated nanobeams subject to moving mass using the nonlocal strain gradient theory	45
Nonlinear free and forced vibrations of fractional modeled viscoelastic FGM micro-beam	45
Transient cavitating flow structure and acoustic analysis of a hydrofoil with whalelike wavy leading edge	44
Further enhancement of the particle shifting technique: Towards better volume conservation and particle distribution in SPH simulations of violent free-surface flows	44
An innovative fractional order LMS algorithm for power signal parameter estimation	44
Lyapunov method for the stability analysis of uncertain fractional-order systems under input saturation	44
Numerical investigation of cavitation-vortex interaction with special emphasis on the multistage shedding process	44
On the vibrations of axially graded Rayleigh beams under a moving load	44
Prediction of arch dam deformation via correlated multi-target stacking	43
A full-stage creep model for rocks based on the variable-order fractional calculus	43
Enhanced resolution of the continuity equation in explicit weakly compressible SPH simulations of incompressible free‐surface fluid flows	43
Nonlinear parametric vibration of spinning pipes conveying fluid with varying spinning speed and flow velocity	43
A numerical method for magneto-hygro-thermal dynamic stability analysis of defective quadrilateral graphene sheets using higher order nonlocal strain gradient theory with different movable boundary co	43
A novel Hausdorff fractional NGMC(p,n) grey prediction model with Grey Wolf Optimizer and its applications in forecasting energy production and conversion of China	43
An improved whale optimization algorithm with armed force program and strategic adjustment	42
Design of a nonlinear model for the propagation of COVID-19 and its efficient nonstandard computational implementation	42
Analysis of wave propagation in functionally graded piezoelectric composite plates reinforced with graphene platelets	42
Three-dimensional topology optimization of a fluid–structure system using body-fitted mesh adaption based on the level-set method	42
Non-probabilistic polygonal convex set model for structural uncertainty quantification	41
A lattice Boltzmann modelling of electrohydrodynamic conduction phenomenon in dielectric liquids	41

On the characteristics of a quasi-zero-stiffness vibration isolator with viscoelastic damper	41
Mixed convection heat transfer by nanofluids in a cavity with two oscillating flexible fins: A fluid–structure interaction approach	41
A bounce back-immersed boundary-lattice Boltzmann model for curved boundary	40
A new mesh stiffness model for modified spur gears with coupling tooth and body flexibility effects	40
Nonlinear control strategies for a UAV carrying a load with swing attenuation	39
A fractional nonlocal time-space viscoelasticity theory and its applications in structural dynamics	39
Modeling airborne pathogen transport and transmission risks of SARS-CoV-2	39
In-plane quasi-zero-stiffness vibration isolator using magnetic interaction and cables: Theoretical and experimental study	38
Dissipative analysis for high speed train systems via looped-functional and relaxed condition methods	38
Thermodynamic modeling of viscoelastic thin rotating microbeam based on non-Fourier heat conduction	38
A lateral resupply blood supply chain network design under uncertainties	38
Impact of product perishability on agri-food supply chains design	38
Dynamic response analysis of vehicle and asphalt pavement coupled system with the excitation of road surface unevenness	38
Density waves in car-following model for autonomous vehicles with backward looking effect	37
Rigorous solution for kinematic response of floating piles subjected to vertical P-wave	37
A combined radial basis function and adaptive sequential sampling method for structural reliability analysis	37
A modified Artificial Bee Colony algorithm for structural damage identification under varying temperature based on a novel objective function	37
A modal analysis of vibration response of a cracked fluid-filled cylindrical shell	37
Dynamic modeling and fuzzy compensation sliding mode control for flexible manipulator servo system	37
Energy balance and synchronization via inductive-coupling in functional neural circuits	37
Numerical analysis on stability of functionally graded graphene platelets (GPLs) reinforced dielectric composite plate	37
Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments	37
Optimal control of variable-order fractional model for delay cancer treatments	37
Variable order fractional grey model and its application	36
Reliability analysis of k-out-of-n: F balanced systems with multiple functional sectors	36
Vectorial surrogate modeling method for multi-objective reliability design	36
Dynamic modelling and vibration characteristics analysis for the bolted joint with spigot in the rotor system	35
Nonlinear dynamics of fluid-conveying composite pipes subjected to time-varying axial tension in sub- and super-critical regimes	35
Applying nonlocal strain gradient theory to size-dependent analysis of functionally graded carbon nanotube-reinforced composite nanoplates	35
Large Eddy simulation of ventilated cavitation with an insight on the correlation mechanism between ventilation and vortex evolutions	34
Optimal allocation of regional water resources based on multi-objective dynamic equilibrium strategy	34
Transfer matrix method for the free and forced vibration analyses of multi-step Timoshenko beams coupled with rigid bodies on springs	34
Active learning relevant vector machine for reliability analysis	34
Bifurcation analysis of a heterogeneous continuum traffic flow model	34
Dynamic torsional impedance of large-diameter pipe pile for offshore engineering: 3D analytical solution	34
Cooperative car-following control with electronic throttle and perceived headway errors on gyroidal roads	34
Investigating the performance of tri-stable magneto-piezoelastic absorber in simultaneous energy harvesting and vibration isolation	34
Modeling large amplitude vibration of pretwisted hybrid composite blades containing CNTRC layers and matrix cracked FRC layers	33
The dynamical motion of a gyrostat for the irrational frequency case	33
Mathematical model of turbulence based on the dynamics of two fluids	33
A novel robust fuzzy mean-UPM model for green closed-loop supply chain network design under distribution ambiguity	33
A linear uncertain pharmacokinetic model driven by Liu process	33
Dynamic modeling and vibration prediction of an industrial robot in manufacturing	32
Free vibration of the one-dimensional piezoelectric quasicrystal microbeams based on modified couple stress theory	32
Numerical study of bifurcation blood flows using three different non-Newtonian constitutive models	32
Modeling approach for flexible shaft-disk-drum rotor systems with elastic connections and supports	32
A novel and efficient method for damage detection in beam-like structures solely based on damaged structure data and using mode shape curvature estimation	32
Study on theoretical modeling and vibration performance of an assembled cylindrical shell-plate structure with whirl motion	32
Global analysis of the COVID-19 pandemic using simple epidemiological models	32
An improved high order moment-based saddlepoint approximation method for reliability analysis	31
Quantized fixed-time fault-tolerant attitude control for hypersonic reentry vehicles	31
Nonlinear forced vibration of in-plane bi-directional functionally graded materials rectangular plate with global and localized geometrical imperfections	31
Partial differential grey model based on control matrix and its application in short-term traffic flow prediction	31
The threshold of a deterministic and a stochastic SIQS epidemic model with varying total population size	31
Reliability analysis for multi-component systems with interdependent competing failure processes	31
Kinetic analysis of polyhedral block system using an improved potential-based penalty function approach for explicit discontinuous deformation analysis	30
Cooperative optimization of velocity planning and energy management for connected plug-in hybrid electric vehicles	30
Condition-based maintenance with imperfect inspections for continuous degradation processes	30
Reliability modeling of two-unit cold standby systems: A periodic switching approach	30
A new Poincaré map for investigating the complex walking behavior of the compass-gait biped robot	30
Bending, vibration, buckling analysis of bi-directional FG porous microbeams with a variable material length scale parameter	30
An open queuing network-based tool for performance estimations in a shuttle-based storage and retrieval system	30
Dispersion relations of in-plane elastic waves in nano-scale one dimensional piezoelectric semiconductor/piezoelectric dielectric phononic crystal with the consideration of interface effect	30
Exploration of the encased nanocomposites functionally graded porous arches: Nonlinear analysis and stability behavior	30
Spreading and rebound dynamics of sub-millimetre urea-water-solution droplets impinging on substrates of varying wettability	30
Transmission dynamics and control methodology of COVID-19: A modeling study	30
Synchronization and stability of a far-resonant vibrating system with three rollers driven by two vibrators	30
Allee effect in prey’s growth reduces the dynamical complexity in prey-predator model with generalist predator	30
Simultaneous energy harvesting and vibration isolation via quasi-zero-stiffness support and radially distributed piezoelectric cantilever beams	30
Generalized isogeometric boundary element method for uncertainty analysis of time-harmonic wave propagation in infinite domains	29
An innovative flower pollination algorithm for continuous optimization problem	29
Bi-nonlinear vibration model of tubing string in oil & gas well and its experimental verification	29
Correlation propagation for uncertainty analysis of structures based on a non-probabilistic ellipsoidal model	29
Shifted Legendre Polynomials algorithm used for the dynamic analysis of viscoelastic pipes conveying fluid with variable fractional order model	29
An intensify atom search optimization for engineering design problems	29
Stability analysis of heterogeneous traffic flow influenced by memory feedback control signal	29
Numerical simulation of the performance of a centrifugal pump with a semi-open impeller under normal and cavitating conditions	29
Multiscale analysis on free vibration of functionally graded graphene reinforced PMMA composite plates	29
A hybrid metaheuristic algorithm for identification of continuous-time Hammerstein systems	29
Mitigation of railway-induced vibrations by using periodic wave impeding barriers	29

Enriched mixed numerical manifold formulation with continuous nodal gradients for dynamics of fractured poroelasticity	29
Dynamic analysis of multilayered unsaturated poroelastic media subjected to a vertical time-harmonic load	29
Dynamic behaviors of single- and multi-span functionally graded porous beams with flexible boundary constraints	28
Fractional model for the spread of COVID-19 subject to government intervention and public perception	28
Variational iteration and successive approximation methods for a SIR epidemic model with constant vaccination strategy	28
Model-free prescribed performance fixed-time control for wearable exoskeletons	28
Controlling the natural convection of a non-Newtonian fluid using a flexible fin	28
An isogeometric boundary element approach for topology optimization using the level set method	28
Numerical solutions for tunnels excavated in strain-softening rock masses considering a combined support system	28
Stability and bifurcation analysis of a buckled beam via active control	27
An optimization technique for solving a class of nonlinear fractional optimal control problems: Application in cancer treatment	27
The impact of virus carrier screening and actively seeking treatment on dynamical behavior of a stochastic HIV/AIDS infection model	27
A hybrid sensitivity function and Lanczos bidiagonalization-Tikhonov method for structural model updating: Application to a full-scale bridge structure	27
Mechanical characteristics and nonlinear dynamic response analysis of rotor-bearing-coupling system	27
The phase-field model with an auto-calibrated degradation function based on general softening laws for cohesive fracture	27
A possibilistic-robust-fuzzy programming model for designing a game theory based blood supply chain network	27
Mathematical modeling and bifurcation analysis of pro- and anti-tumor macrophages	27
Nonlinear coupling vibrations of graphene composite laminated sheets impacted by particles	27
Nonlocal dual-phase-lagging thermoelastic damping in rectangular and circular micro/nanoplate resonators	26
Analytical model for meshing stiffness, load sharing, and transmission error for spur gears with profile modification under non-nominal load conditions	26
Thermal alternation induced vibration analysis of spacecraft with lateral solar arrays in orbit	26
Throughput performance analysis of Automated Vehicle Storage and Retrieval Systems with multiple-tier shuttle vehicles	26
A cooperative game theory approach for location-routing-inventory decisions in humanitarian relief chain incorporating stochastic planning	26
Fully discrete energy stable scheme for a phase-field moving contact line model with variable densities and viscosities	26
Optimal periodic preventive maintenance policies for systems subject to shocks	26
Homoclinic bifurcations and chaotic dynamics of non-planar waves in axially moving beam subjected to thermal load	26
A mortar segment-to-segment contact method for stabilized total-Lagrangian smoothed particle hydrodynamics	26
Ensemble forecasting system based on decomposition-selection-optimization for point and interval carbon price prediction	26
Effect of mass transfer and diffusion of nanofluid on the thermal ablation of malignant cells during magnetic hyperthermia	25
FPGA Realization of Fractional Order Neuron	25
Integrating traffic routing optimization and train formation plan using simulated annealing algorithm	25
Crack tip asymptotic fields in anisotropic planes: Importance of higher order terms	25
Dynamic analysis of multiple inclined and frictional impact-contacts in multi-branch robotic systems	25
Robust support vector regression with generic quadratic nonconvex ε-insensitive loss	25
The effect of various boundary conditions on the nonlinear dynamics of slightly curved pipes under thermal loading	25
Three-dimensional vehicle-ballasted track-subgrade interaction: Model construction and numerical analysis	25
Free vibration of self-powered nanoribbons subjected to thermal-mechanical-electrical fields based on a nonlocal strain gradient theory	25
Reliability analysis for Weibull distribution with homogeneous heavily censored data based on Bayesian and least-squares methods	25
Ensemble learning for remaining fatigue life prediction of structures with stochastic parameters: A data-driven approach	25
Dynamic modeling and analysis of wind turbine drivetrain considering the effects of non-torque loads	25
A heuristic method for the supplier selection and order quantity allocation problem	25
Nonlocal steady-state thermoelastic analysis of functionally graded materials by using peridynamic differential operator	25
One-dimensional stress-driven nonlocal integral model with bi-Helmholtz kernel: Close form solution and consistent size effect	25
Optimal freshness and carbon abatement decisions in a two-echelon cold chain	25
Unraveling the dynamics of the Omicron and Delta variants of the 2019 coronavirus in the presence of vaccination, mask usage, and antiviral treatment	25
Nonlinear axisymmetric bending analysis of strain gradient thin circular plate	25
An analytical spectral stiffness method for buckling of rectangular plates on Winkler foundation subject to general boundary conditions	25
Analysis of laminated piezoelectric composite plates using an inverse hyperbolic coupled plate theory	25
Optimal guidance strategy for crowd evacuation with multiple exits: A hybrid multiscale modeling approach	25
Dynamics of an HIV Infection Model with Two Infection Routes and Evolutionary Competition between Two Viral Strains	24
Isogeometric analysis for non-classical Bernoulli-Euler beam model incorporating microstructure and surface energy effects	24
Numerical investigation of condensation shock and re-entrant jet dynamics around a cavitating hydrofoil using a dynamic cubic nonlinear subgrid-scale model	24
Phytoplankton-zooplankton interaction under environmental stochasticity: Survival, extinction and stability	24
On new buckling solutions of moderately thick rectangular plates by the symplectic superposition method within the Hamiltonian-system framework	24
An application of neural networks to the prediction of aerodynamic coefficients of aerofoils and wings	24
An improved implicit method with dissipation control capability: The simple generalized composite time integration algorithm	24
A data-driven surrogate model to rapidly predict microstructure morphology during physical vapor deposition	24
Event-Triggered Impulsive Controller Design for Synchronization of Delayed Chaotic Neural Networks and Its Fractal Reconstruction: An Application to Image Encryption	24
Analyses of thermal buckling and secondary instability of post-buckled S-FGM plates with porosities based on a meshfree method	24
Improving sustainability and social responsibility of a two-tier supply chain investing in emission reduction technology	24
Uniform finite-time stability of nonlinear impulsive time-varying systems	24
Postbuckling analysis of multi-directional perforated FGM plates using NURBS-based IGA and FCM	24
Effect of pollutant source location on air pollutant dispersion around a high-rise building	24
3D dynamic analysis of layered transversely isotropic saturated media subjected to circular moving loads	23
Impact response analysis of stiffened sandwich functionally graded porous materials doubly-curved shell with re-entrant honeycomb auxetic core	23
New damage evolution model of rock material	23
A novel two-stage framework for reducing ergonomic risks of a mixed-model parallel U-shaped assembly-line	23
Adaptive disturbance observer-based control of hydraulic systems with asymptotic stability	23
Energy harvesting of a fluid-conveying piezoelectric pipe	23
A discrete wavelet transform and singular value decomposition-based digital video watermark method	23
Fractional order theory of Cattaneo-type thermoelasticity using new fractional derivatives	23
A novel reliability-based design method based on quantile-based first-order second-moment	23
Stochastic resonance in a piecewise bistable energy harvesting model driven by harmonic excitation and additive Gaussian white noise	23
Stick-slip suppression and speed tuning for a drill-string system via proportional-derivative control	23
Update to the MUSIG model in ANSYS CFX for reliable modelling of bubble coalescence and breakup	23
A two-stage multi-damage detection approach for composite structures using MKECR-Tikhonov regularization iterative method and model updating procedure	23
An improved mesh stiffness model of helical gear pair considering axial mesh force and friction force influenced by surface roughness under EHL condition	23
Nonlinear random vibrations of functionally graded porous nanobeams using equivalent linearization method	23
Electroosmotic flow and heat transfer in a heterogeneous circular microchannel	22
Mathematical modeling of heterogeneous metal foams for phase-change heat transfer enhancement of latent heat thermal energy storage units	22
Disaster relief logistics under demand-supply incongruence environment: A sequential approach	22
A refined analytical model for the mesh stiffness calculation of plastic gear pairs	22
Accurate and real-time structural topology prediction driven by deep learning under moving morphable component-based framework	22
Non-Newtonian phase-change heat transfer of nano-enhanced octadecane with mesoporous silica particles in a tilted enclosure using a deformed mesh technique	22
Dynamic modeling and experimental study of a complex fluid-conveying pipeline system with series and parallel structures	22
A coupled model for investigating the interfacial and fatigue damage evolution of slab tracks in vehicle-track interaction	22
Novel biogeography-based optimization algorithm with hybrid migration and global-best Gaussian mutation	22
Memory response on magneto-thermoelastic vibrations on a viscoelastic micro-beam exposed to a laser pulse heat source	22
Active flow control optimisation on SD7003 airfoil at pre and post-stall angles of attack using synthetic jets	22
A theoretical evaluation method for mechanical sealing integrity of cementing sheath	22
Reliability and maintenance analysis of a degradation-threshold-shock model for a system in a dynamic environment	22
Optimal pricing and complex analysis for low-carbon apparel supply chains	21
Optimal plan for Wiener constant-stress accelerated degradation model	21
Multi-parameter grey prediction model based on the derivation method	21
Nonlinear transverse vibration of a hyperelastic beam under harmonic axial loading in the subcritical buckling regime	21