Applied Mathematical Modelling

Article	Citations
Selecting appropriate machine learning methods for digital soil mapping	221
Atomic orbital search: A novel metaheuristic algorithm	150
A truck and drones model for last-mile delivery: A mathematical model and heuristic approach	116
A novel interval dynamic reliability computation approach for the risk evaluation of vibration active control systems based on PID controllers	114
Vibration isolation and energy harvesting integrated in a Stewart platform with high static and low dynamic stiffness	106
A new-structure grey Verhulst model: Development and performance comparison	104
A coupled incompressible SPH-Hamiltonian SPH solver for hydroelastic FSI corresponding to composite structures	89
The dynamic characteristics of pure-quartic solitons and soliton molecules	89
Forecasting the renewable energy consumption of the European countries by an adjacent non-homogeneous grey model	85
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	81
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	76
Large-amplitude oscillations of composite conical nanoshells with in-plane heterogeneity including surface stress effect	70
Free vibration response of smart sandwich plates with porous CNT-reinforced and piezoelectric layers	69
A fractal Boussinesq equation for nonlinear transverse vibration of a nanofiber-reinforced concrete pillar	68
Analytical features of the SIR model and their applications to COVID-19	68
Interactions between exotic multi-valued solitons of the (2+1)-dimensional Korteweg-de Vries equation describing shallow water wave	68
Free vibration analysis of a rotating graphene nanoplatelet reinforced pre-twist blade-disk assembly with a setting angle	66
Designing a Closed-loop Supply Chain Network Considering Social Factors; A Case Study on Avocado Industry	65
The role of surrogate models in the development of digital twins of dynamic systems	65
Passenger flow control strategies for urban rail transit networks	63
Design of a combined wind speed forecasting system based on decomposition-ensemble and multi-objective optimization approach	63
Active control of dynamic behaviors of graded graphene reinforced cylindrical shells with piezoelectric actuator/sensor layers	63
Design of multi innovation fractional LMS algorithm for parameter estimation of input nonlinear control autoregressive systems	62

A mesh stiffness method using slice coupling for spur gear pairs with misalignment and lead crown relief	61
Recycling channel selection and coordination in dual sales channel closed-loop supply chains	60
Analytical solution for horizontal vibration of end-bearing single pile in radially heterogeneous saturated soil	59
An optimization method for control parameters of underwater gliders considering energy consumption and motion accuracy	58
Malaria and COVID-19 co-dynamics: A mathematical model and optimal control	58
An unequal adjacent grey forecasting air pollution urban model	57
Robotic disassembly line balancing problem: A mathematical model and ant colony optimization approach	57
A computational framework of kinematic accuracy reliability analysis for industrial robots	57
Dynamical analysis of spinning functionally graded pipes conveying fluid with multiple spans	57
Modeling of memristor-based Hindmarsh-Rose neuron and its dynamical analyses using energy method	56
Self-adaptive salp swarm algorithm for engineering optimization problems	56
Harris Hawks optimization with information exchange	55
A magnetic field coupling fractional step lattice Boltzmann model for the complex interfacial behavior in magnetic multiphase flows	54
A quantum-behaved simulated annealing algorithm-based moth-flame optimization method	54
The fractional Kelvin-Voigt model for circumferential guided waves in a viscoelastic FGM hollow cylinder	53
Stability and bifurcation analysis for a fractional prey–predator scavenger model	52
Review of fractional epidemic models	52
Feed-in tariff or tax-rebate regulation? Dynamic decision model for the solar photovoltaic supply chain	52
Material optimization of tri-directional functionally graded plates by using deep neural network and isogeometric multimesh design approach	51
Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load	50
A NURBS-based Multi-Material Interpolation (N-MMI) for isogeometric topology optimization of structures	49
Coupled orbit-attitude dynamics and trajectory tracking control for spacecraft electromagnetic docking	49
Dynamic navigation field in the social force model for pedestrian evacuation	49
An analytical model for rapid predicting molten pool geometry of selective laser melting (SLM)	49
Numerical approach for modeling fractional heat conduction in porous medium with the generalized Cattaneo model	47
Long-range dependence and heavy tail characteristics for remaining useful life prediction in rolling bearing degradation	47
A new hybrid optimization ensemble learning approach for carbon price forecasting	46
On wave propagation in two-dimensional functionally graded porous rotating nano-beams using a general nonlocal higher-order beam model	46
Multi-period dynamic distributionally robust pre-positioning of emergency supplies under demand uncertainty	45
Elastic buckling and free vibration analysis of functionally graded Timoshenko beam with nonlocal strain gradient integral model	45
Dynamics of perforated nanobeams subject to moving mass using the nonlocal strain gradient theory	45
Enhanced salp swarm algorithm based on firefly algorithm for unrelated parallel machine scheduling with setup times	45
The scaled boundary finite element method based on the hybrid quadtree mesh for solving transient heat conduction problems	44
An innovative fractional order LMS algorithm for power signal parameter estimation	44
Nonlinear vibrations of functionally graded graphene reinforced composite cylindrical panels	44
Nonlinear free and forced vibrations of fractional modeled viscoelastic FGM micro-beam	44
Optimal lot-sizing and shipment decisions in a three-echelon supply chain for growing items with inventory level- and expiration date-dependent demand	44
Bi-directional evolutionary topology optimization of geometrically nonlinear continuum structures with stress constraints	44
Transient cavitating flow structure and acoustic analysis of a hydrofoil with whalelike wavy leading edge	44
Vibration of fluid-conveying nanotubes subjected to magnetic field based on the thin-walled Timoshenko beam theory	44
A full-stage creep model for rocks based on the variable-order fractional calculus	43
On the vibrations of axially graded Rayleigh beams under a moving load	43
Numerical investigation of cavitation-vortex interaction with special emphasis on the multistage shedding process	43
Lyapunov method for the stability analysis of uncertain fractional-order systems under input saturation	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	42
Design of a nonlinear model for the propagation of COVID-19 and its efficient nonstandard computational implementation	42
An improved whale optimization algorithm with armed force program and strategic adjustment	42
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	42
On the characteristics of a quasi-zero-stiffness vibration isolator with viscoelastic damper	41
Analysis of wave propagation in functionally graded piezoelectric composite plates reinforced with graphene platelets	41

Three-dimensional topology optimization of a fluid–structure system using body-fitted mesh adaption based on the level-set method	41
Mixed convection heat transfer by nanofluids in a cavity with two oscillating flexible fins: A fluid–structure interaction approach	41
A lattice Boltzmann modelling of electrohydrodynamic conduction phenomenon in dielectric liquids	40
Non-probabilistic polygonal convex set model for structural uncertainty quantification	40
Enhanced resolution of the continuity equation in explicit weakly compressible SPH simulations of incompressible free‐surface fluid flows	40
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 parametric vibration of spinning pipes conveying fluid with varying spinning speed and flow velocity	40
Prediction of arch dam deformation via correlated multi-target stacking	39
3D dynamic responses of a multi-layered transversely isotropic saturated half-space under concentrated forces and pore pressure	39
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 fractional nonlocal time-space viscoelasticity theory and its applications in structural dynamics	38
An accelerated differential evolution algorithm with new operators for multi-damage detection in plate-like structures	38
A novel analysis method for damping characteristic of a type of double-beam systems with viscoelastic layer	38
Modeling airborne pathogen transport and transmission risks of SARS-CoV-2	38
A lateral resupply blood supply chain network design under uncertainties	38
Density waves in car-following model for autonomous vehicles with backward looking effect	37
A modal analysis of vibration response of a cracked fluid-filled cylindrical shell	37
Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments	37
Nonlinear control strategies for a UAV carrying a load with swing attenuation	37
A combined radial basis function and adaptive sequential sampling method for structural reliability analysis	37
Optimal control of variable-order fractional model for delay cancer treatments	37
Numerical study of vortex eccentricity in a gas cyclone	37
Dynamic response analysis of vehicle and asphalt pavement coupled system with the excitation of road surface unevenness	37
Further enhancement of the particle shifting technique: Towards better volume conservation and particle distribution in SPH simulations of violent free-surface flows	37
Numerical analysis on stability of functionally graded graphene platelets (GPLs) reinforced dielectric composite plate	36
Modeling of amplitude-dependent damping characteristics of fiber reinforced composite thin plate	36
A modified Artificial Bee Colony algorithm for structural damage identification under varying temperature based on a novel objective function	36
Dynamic modeling and fuzzy compensation sliding mode control for flexible manipulator servo system	36
Multiobjective big data optimization based on a hybrid salp swarm algorithm and differential evolution	36
Vectorial surrogate modeling method for multi-objective reliability design	36
In-plane quasi-zero-stiffness vibration isolator using magnetic interaction and cables: Theoretical and experimental study	36
Energy balance and synchronization via inductive-coupling in functional neural circuits	35
Rigorous solution for kinematic response of floating piles subjected to vertical P-wave	35
Impact of product perishability on agri-food supply chains design	35
Variable order fractional grey model and its application	35
Applying nonlocal strain gradient theory to size-dependent analysis of functionally graded carbon nanotube-reinforced composite nanoplates	35
Time-harmonic response of transversely isotropic and layered poroelastic half-spaces under general buried loads	35
Reliability analysis of k-out-of-n: F balanced systems with multiple functional sectors	35
Bifurcation analysis of a heterogeneous continuum traffic flow model	34
Nonlinear dynamics of fluid-conveying composite pipes subjected to time-varying axial tension in sub- and super-critical regimes	34
Dynamic torsional impedance of large-diameter pipe pile for offshore engineering: 3D analytical solution	34
Large Eddy simulation of ventilated cavitation with an insight on the correlation mechanism between ventilation and vortex evolutions	33
A novel robust fuzzy mean-UPM model for green closed-loop supply chain network design under distribution ambiguity	33
Dynamic modelling and vibration characteristics analysis for the bolted joint with spigot in the rotor system	33
The dynamical motion of a gyrostat for the irrational frequency case	32
Cooperative car-following control with electronic throttle and perceived headway errors on gyroidal roads	32
Modeling approach for flexible shaft-disk-drum rotor systems with elastic connections and supports	32
Numerical study of bifurcation blood flows using three different non-Newtonian constitutive models	32
A linear uncertain pharmacokinetic model driven by Liu process	32
Optimal allocation of regional water resources based on multi-objective dynamic equilibrium strategy	32
Global analysis of the COVID-19 pandemic using simple epidemiological models	32
Study on theoretical modeling and vibration performance of an assembled cylindrical shell-plate structure with whirl motion	32
Mathematical model of turbulence based on the dynamics of two fluids	32
Investigating the performance of tri-stable magneto-piezoelastic absorber in simultaneous energy harvesting and vibration isolation	32
Transfer matrix method for the free and forced vibration analyses of multi-step Timoshenko beams coupled with rigid bodies on springs	31
A novel and efficient method for damage detection in beam-like structures solely based on damaged structure data and using mode shape curvature estimation	31
Modeling large amplitude vibration of pretwisted hybrid composite blades containing CNTRC layers and matrix cracked FRC layers	31
Partial differential grey model based on control matrix and its application in short-term traffic flow prediction	30
An improved high order moment-based saddlepoint approximation method for reliability analysis	30
Bending, vibration, buckling analysis of bi-directional FG porous microbeams with a variable material length scale parameter	30
Quantized fixed-time fault-tolerant attitude control for hypersonic reentry vehicles	30
Synchronization and stability of a far-resonant vibrating system with three rollers driven by two vibrators	30
Exploration of the encased nanocomposites functionally graded porous arches: Nonlinear analysis and stability behavior	30
Kinetic analysis of polyhedral block system using an improved potential-based penalty function approach for explicit discontinuous deformation analysis	30
An open queuing network-based tool for performance estimations in a shuttle-based storage and retrieval system	30
Active learning relevant vector machine for reliability analysis	30
Reliability modeling of two-unit cold standby systems: A periodic switching approach	30
Reliability analysis for multi-component systems with interdependent competing failure processes	30
The threshold of a deterministic and a stochastic SIQS epidemic model with varying total population size	29
Enriched mixed numerical manifold formulation with continuous nodal gradients for dynamics of fractured poroelasticity	29
A new Poincaré map for investigating the complex walking behavior of the compass-gait biped robot	29
Free vibration of the one-dimensional piezoelectric quasicrystal microbeams based on modified couple stress theory	29
Shifted Legendre Polynomials algorithm used for the dynamic analysis of viscoelastic pipes conveying fluid with variable fractional order model	29
Condition-based maintenance with imperfect inspections for continuous degradation processes	29
Simultaneous energy harvesting and vibration isolation via quasi-zero-stiffness support and radially distributed piezoelectric cantilever beams	29
Augmented line sampling for approximation of failure probability function in reliability-based analysis	29
Dynamic modeling and vibration prediction of an industrial robot in manufacturing	29
Bi-nonlinear vibration model of tubing string in oil & gas well and its experimental verification	29

Nonlinear forced vibration of in-plane bi-directional functionally graded materials rectangular plate with global and localized geometrical imperfections	29
Flow and heat transfer of double fractional Maxwell fluids over a stretching sheet with variable thickness	29
Allee effect in prey’s growth reduces the dynamical complexity in prey-predator model with generalist predator	28
Cooperative optimization of velocity planning and energy management for connected plug-in hybrid electric vehicles	28
Multiscale analysis on free vibration of functionally graded graphene reinforced PMMA composite plates	28
Variational iteration and successive approximation methods for a SIR epidemic model with constant vaccination strategy	28
A hybrid metaheuristic algorithm for identification of continuous-time Hammerstein systems	28
An innovative flower pollination algorithm for continuous optimization problem	28
Correlation propagation for uncertainty analysis of structures based on a non-probabilistic ellipsoidal model	28
Controlling the natural convection of a non-Newtonian fluid using a flexible fin	28
An intensify atom search optimization for engineering design problems	28
Numerical simulation of the performance of a centrifugal pump with a semi-open impeller under normal and cavitating conditions	28
Transmission dynamics and control methodology of COVID-19: A modeling study	28
Numerical solutions for tunnels excavated in strain-softening rock masses considering a combined support system	28
Dispersion relations of in-plane elastic waves in nano-scale one dimensional piezoelectric semiconductor/piezoelectric dielectric phononic crystal with the consideration of interface effect	28
The phase-field model with an auto-calibrated degradation function based on general softening laws for cohesive fracture	27
Stability and bifurcation analysis of a buckled beam via active control	27
A hybrid sensitivity function and Lanczos bidiagonalization-Tikhonov method for structural model updating: Application to a full-scale bridge structure	27
Dynamic behaviors of single- and multi-span functionally graded porous beams with flexible boundary constraints	27
Application of the Chebyshev spectral method to the simulation of groundwater flow and rainfall-induced landslides	27
Fractional model for the spread of COVID-19 subject to government intervention and public perception	27
Generalized isogeometric boundary element method for uncertainty analysis of time-harmonic wave propagation in infinite domains	27
An isogeometric boundary element approach for topology optimization using the level set method	27
Dynamic analysis of multilayered unsaturated poroelastic media subjected to a vertical time-harmonic load	27
Spreading and rebound dynamics of sub-millimetre urea-water-solution droplets impinging on substrates of varying wettability	27
The impact of virus carrier screening and actively seeking treatment on dynamical behavior of a stochastic HIV/AIDS infection model	26
Mitigation of railway-induced vibrations by using periodic wave impeding barriers	26
Homoclinic bifurcations and chaotic dynamics of non-planar waves in axially moving beam subjected to thermal load	26
Fully discrete energy stable scheme for a phase-field moving contact line model with variable densities and viscosities	26
Mechanical characteristics and nonlinear dynamic response analysis of rotor-bearing-coupling system	26
Nonlocal dual-phase-lagging thermoelastic damping in rectangular and circular micro/nanoplate resonators	26
Model-free prescribed performance fixed-time control for wearable exoskeletons	26
Thermal alternation induced vibration analysis of spacecraft with lateral solar arrays in orbit	26
A possibilistic-robust-fuzzy programming model for designing a game theory based blood supply chain network	26
Mathematical modeling and bifurcation analysis of pro- and anti-tumor macrophages	26
Nonlinear coupling vibrations of graphene composite laminated sheets impacted by particles	26
Stability analysis of heterogeneous traffic flow influenced by memory feedback control signal	26
Optimal periodic preventive maintenance policies for systems subject to shocks	26
Analysis of laminated piezoelectric composite plates using an inverse hyperbolic coupled plate theory	25
Asymptotic reduction and homogenization of a thermo-electrochemical model for a lithium-ion battery	25
Three-dimensional vehicle-ballasted track-subgrade interaction: Model construction and numerical analysis	25
Effect of mass transfer and diffusion of nanofluid on the thermal ablation of malignant cells during magnetic hyperthermia	25
Multi-variable grey model based on dynamic background algorithm for forecasting the interval sequence	25
Reliability analysis for Weibull distribution with homogeneous heavily censored data based on Bayesian and least-squares methods	25
An optimization technique for solving a class of nonlinear fractional optimal control problems: Application in cancer treatment	25
A heuristic method for the supplier selection and order quantity allocation problem	25
One-dimensional stress-driven nonlocal integral model with bi-Helmholtz kernel: Close form solution and consistent size effect	25
The effect of various boundary conditions on the nonlinear dynamics of slightly curved pipes under thermal loading	25
FPGA Realization of Fractional Order Neuron	25
Ensemble forecasting system based on decomposition-selection-optimization for point and interval carbon price prediction	25
Integrating traffic routing optimization and train formation plan using simulated annealing algorithm	25
An analytical spectral stiffness method for buckling of rectangular plates on Winkler foundation subject to general boundary conditions	25
Robust support vector regression with generic quadratic nonconvex ε-insensitive loss	25
Nonlocal steady-state thermoelastic analysis of functionally graded materials by using peridynamic differential operator	25
Optimal guidance strategy for crowd evacuation with multiple exits: A hybrid multiscale modeling approach	25
A mortar segment-to-segment contact method for stabilized total-Lagrangian smoothed particle hydrodynamics	25
Throughput performance analysis of Automated Vehicle Storage and Retrieval Systems with multiple-tier shuttle vehicles	25
Nonlinear axisymmetric bending analysis of strain gradient thin circular plate	25
A cooperative game theory approach for location-routing-inventory decisions in humanitarian relief chain incorporating stochastic planning	24
Optimal freshness and carbon abatement decisions in a two-echelon cold chain	24
Phytoplankton-zooplankton interaction under environmental stochasticity: Survival, extinction and stability	24
Ensemble learning for remaining fatigue life prediction of structures with stochastic parameters: A data-driven approach	24
A novel two-stage framework for reducing ergonomic risks of a mixed-model parallel U-shaped assembly-line	24
Dynamic modeling and analysis of wind turbine drivetrain considering the effects of non-torque loads	24
Uniform finite-time stability of nonlinear impulsive time-varying systems	24
Effect of pollutant source location on air pollutant dispersion around a high-rise building	24
On new buckling solutions of moderately thick rectangular plates by the symplectic superposition method within the Hamiltonian-system framework	24
Dynamic analysis of multiple inclined and frictional impact-contacts in multi-branch robotic systems	24
Numerical investigation of condensation shock and re-entrant jet dynamics around a cavitating hydrofoil using a dynamic cubic nonlinear subgrid-scale model	24
A data-driven surrogate model to rapidly predict microstructure morphology during physical vapor deposition	24
Analytical model for meshing stiffness, load sharing, and transmission error for spur gears with profile modification under non-nominal load conditions	24
Crack tip asymptotic fields in anisotropic planes: Importance of higher order terms	24
An improved implicit method with dissipation control capability: The simple generalized composite time integration algorithm	24
A novel reliability-based design method based on quantile-based first-order second-moment	23
Stick-slip suppression and speed tuning for a drill-string system via proportional-derivative control	23
A discrete wavelet transform and singular value decomposition-based digital video watermark method	23
Improving sustainability and social responsibility of a two-tier supply chain investing in emission reduction technology	23
Barrier lake formation due to landslide impacting a river: A numerical study using a double layer-averaged two-phase flow model	23
Postbuckling analysis of multi-directional perforated FGM plates using NURBS-based IGA and FCM	23
Isogeometric analysis for non-classical Bernoulli-Euler beam model incorporating microstructure and surface energy effects	23
An application of neural networks to the prediction of aerodynamic coefficients of aerofoils and wings	23
Thermal shock fracture of a crack in a functionally gradient half-space based on the memory-dependent heat conduction model	23
Analyses of thermal buckling and secondary instability of post-buckled S-FGM plates with porosities based on a meshfree method	23
Memory response on magneto-thermoelastic vibrations on a viscoelastic micro-beam exposed to a laser pulse heat source	22
Multi-modal method for chatter stability prediction and control in milling of thin-walled workpiece	22
Crashworthiness optimization of VRB thin-walled structures under manufacturing constraints by the eHCA-VRB algorithm	22
A two-stage multi-damage detection approach for composite structures using MKECR-Tikhonov regularization iterative method and model updating procedure	22
Dynamic analysis and experiment investigation of a cracked dual-disc bearing-rotor system based on orbit morphological characteristics	22
New damage evolution model of rock material	22
Fractional order theory of Cattaneo-type thermoelasticity using new fractional derivatives	22
Novel biogeography-based optimization algorithm with hybrid migration and global-best Gaussian mutation	22
3D dynamic analysis of layered transversely isotropic saturated media subjected to circular moving loads	22
Dynamic modeling and experimental study of a complex fluid-conveying pipeline system with series and parallel structures	22
Disaster relief logistics under demand-supply incongruence environment: A sequential approach	22
Unraveling the dynamics of the Omicron and Delta variants of the 2019 coronavirus in the presence of vaccination, mask usage, and antiviral treatment	22