Applied Mathematical Modelling

Article	Citations
Atomic orbital search: A novel metaheuristic algorithm	162
A novel interval dynamic reliability computation approach for the risk evaluation of vibration active control systems based on PID controllers	121
Vibration isolation and energy harvesting integrated in a Stewart platform with high static and low dynamic stiffness	120
A coupled incompressible SPH-Hamiltonian SPH solver for hydroelastic FSI corresponding to composite structures	98
Forecasting the renewable energy consumption of the European countries by an adjacent non-homogeneous grey model	93
The dynamic characteristics of pure-quartic solitons and soliton molecules	92
A novel time-delay multivariate grey model for impact analysis of CO2 emissions from China’s transportation sectors	89
A novel Grey Bernoulli model for short-term natural gas consumption forecasting	82
A novel car-following inertia gray model and its application in forecasting short-term traffic flow	79
A mesh stiffness method using slice coupling for spur gear pairs with misalignment and lead crown relief	75
Analytical features of the SIR model and their applications to COVID-19	73
Free vibration response of smart sandwich plates with porous CNT-reinforced and piezoelectric layers	71
Designing a Closed-loop Supply Chain Network Considering Social Factors; A Case Study on Avocado Industry	71
Analytical solution for horizontal vibration of end-bearing single pile in radially heterogeneous saturated soil	71
Large-amplitude oscillations of composite conical nanoshells with in-plane heterogeneity including surface stress effect	70
Free vibration analysis of a rotating graphene nanoplatelet reinforced pre-twist blade-disk assembly with a setting angle	69
Recycling channel selection and coordination in dual sales channel closed-loop supply chains	68
Design of a combined wind speed forecasting system based on decomposition-ensemble and multi-objective optimization approach	67
The role of surrogate models in the development of digital twins of dynamic systems	67
Malaria and COVID-19 co-dynamics: A mathematical model and optimal control	67
Design of multi innovation fractional LMS algorithm for parameter estimation of input nonlinear control autoregressive systems	65
Modeling of memristor-based Hindmarsh-Rose neuron and its dynamical analyses using energy method	64
An unequal adjacent grey forecasting air pollution urban model	61
Review of fractional epidemic models	61
Harris Hawks optimization with information exchange	60

Dynamical analysis of spinning functionally graded pipes conveying fluid with multiple spans	60
Robotic disassembly line balancing problem: A mathematical model and ant colony optimization approach	60
An optimization method for control parameters of underwater gliders considering energy consumption and motion accuracy	59
Self-adaptive salp swarm algorithm for engineering optimization problems	58
The fractional Kelvin-Voigt model for circumferential guided waves in a viscoelastic FGM hollow cylinder	56
A new hybrid optimization ensemble learning approach for carbon price forecasting	56
An analytical model for rapid predicting molten pool geometry of selective laser melting (SLM)	55
A magnetic field coupling fractional step lattice Boltzmann model for the complex interfacial behavior in magnetic multiphase flows	55
A quantum-behaved simulated annealing algorithm-based moth-flame optimization method	55
Material optimization of tri-directional functionally graded plates by using deep neural network and isogeometric multimesh design approach	55
Coupled orbit-attitude dynamics and trajectory tracking control for spacecraft electromagnetic docking	54
Nonlinear vibrations of functionally graded graphene reinforced composite cylindrical panels	53
Feed-in tariff or tax-rebate regulation? Dynamic decision model for the solar photovoltaic supply chain	53
Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load	53
Long-range dependence and heavy tail characteristics for remaining useful life prediction in rolling bearing degradation	52
Multi-period dynamic distributionally robust pre-positioning of emergency supplies under demand uncertainty	51
Non-probabilistic polygonal convex set model for structural uncertainty quantification	50
Enhanced resolution of the continuity equation in explicit weakly compressible SPH simulations of incompressible free‐surface fluid flows	50
Numerical approach for modeling fractional heat conduction in porous medium with the generalized Cattaneo model	49
On the vibrations of axially graded Rayleigh beams under a moving load	49
Elastic buckling and free vibration analysis of functionally graded Timoshenko beam with nonlocal strain gradient integral model	49
Optimal lot-sizing and shipment decisions in a three-echelon supply chain for growing items with inventory level- and expiration date-dependent demand	48
Dynamics of perforated nanobeams subject to moving mass using the nonlocal strain gradient theory	47
Enhanced salp swarm algorithm based on firefly algorithm for unrelated parallel machine scheduling with setup times	47
Further enhancement of the particle shifting technique: Towards better volume conservation and particle distribution in SPH simulations of violent free-surface flows	47
A new mesh stiffness model for modified spur gears with coupling tooth and body flexibility effects	47
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	47
The scaled boundary finite element method based on the hybrid quadtree mesh for solving transient heat conduction problems	46
Three-dimensional topology optimization of a fluid–structure system using body-fitted mesh adaption based on the level-set method	46
A full-stage creep model for rocks based on the variable-order fractional calculus	46
An innovative fractional order LMS algorithm for power signal parameter estimation	46
Nonlinear free and forced vibrations of fractional modeled viscoelastic FGM micro-beam	45
Prediction of arch dam deformation via correlated multi-target stacking	45
Numerical investigation of cavitation-vortex interaction with special emphasis on the multistage shedding process	45
Transient cavitating flow structure and acoustic analysis of a hydrofoil with whalelike wavy leading edge	45
Nonlinear parametric vibration of spinning pipes conveying fluid with varying spinning speed and flow velocity	45
On the characteristics of a quasi-zero-stiffness vibration isolator with viscoelastic damper	44
Energy balance and synchronization via inductive-coupling in functional neural circuits	44
A lattice Boltzmann modelling of electrohydrodynamic conduction phenomenon in dielectric liquids	43
Cooperative car-following control with electronic throttle and perceived headway errors on gyroidal roads	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
In-plane quasi-zero-stiffness vibration isolator using magnetic interaction and cables: Theoretical and experimental study	42
Design of a nonlinear model for the propagation of COVID-19 and its efficient nonstandard computational implementation	42
A combined radial basis function and adaptive sequential sampling method for structural reliability analysis	41
Variable order fractional grey model and its application	41
Rigorous solution for kinematic response of floating piles subjected to vertical P-wave	41
Dynamic modeling and fuzzy compensation sliding mode control for flexible manipulator servo system	41
Modeling airborne pathogen transport and transmission risks of SARS-CoV-2	40
Bifurcation analysis of a heterogeneous continuum traffic flow model	40
Impact of product perishability on agri-food supply chains design	40

A fractional nonlocal time-space viscoelasticity theory and its applications in structural dynamics	40
Nonlinear control strategies for a UAV carrying a load with swing attenuation	40
Dynamic modeling and vibration prediction of an industrial robot in manufacturing	39
A modal analysis of vibration response of a cracked fluid-filled cylindrical shell	39
A lateral resupply blood supply chain network design under uncertainties	39
Dissipative analysis for high speed train systems via looped-functional and relaxed condition methods	39
Density waves in car-following model for autonomous vehicles with backward looking effect	39
Vectorial surrogate modeling method for multi-objective reliability design	39
Dynamic response analysis of vehicle and asphalt pavement coupled system with the excitation of road surface unevenness	38
Thermodynamic modeling of viscoelastic thin rotating microbeam based on non-Fourier heat conduction	38
Investigating the performance of tri-stable magneto-piezoelastic absorber in simultaneous energy harvesting and vibration isolation	38
A modified Artificial Bee Colony algorithm for structural damage identification under varying temperature based on a novel objective function	38
Optimal control of variable-order fractional model for delay cancer treatments	37
Applying nonlocal strain gradient theory to size-dependent analysis of functionally graded carbon nanotube-reinforced composite nanoplates	37
Transfer matrix method for the free and forced vibration analyses of multi-step Timoshenko beams coupled with rigid bodies on springs	37
Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments	37
Numerical analysis on stability of functionally graded graphene platelets (GPLs) reinforced dielectric composite plate	37
Optimal allocation of regional water resources based on multi-objective dynamic equilibrium strategy	36
Active learning relevant vector machine for reliability analysis	36
Nonlinear dynamics of fluid-conveying composite pipes subjected to time-varying axial tension in sub- and super-critical regimes	36
Dynamic modelling and vibration characteristics analysis for the bolted joint with spigot in the rotor system	36
Modeling approach for flexible shaft-disk-drum rotor systems with elastic connections and supports	36
Dynamic torsional impedance of large-diameter pipe pile for offshore engineering: 3D analytical solution	35
Free vibration of the one-dimensional piezoelectric quasicrystal microbeams based on modified couple stress theory	35
Modeling large amplitude vibration of pretwisted hybrid composite blades containing CNTRC layers and matrix cracked FRC layers	35
Large Eddy simulation of ventilated cavitation with an insight on the correlation mechanism between ventilation and vortex evolutions	35
Simultaneous energy harvesting and vibration isolation via quasi-zero-stiffness support and radially distributed piezoelectric cantilever beams	34
A novel robust fuzzy mean-UPM model for green closed-loop supply chain network design under distribution ambiguity	34
A linear uncertain pharmacokinetic model driven by Liu process	34
Partial differential grey model based on control matrix and its application in short-term traffic flow prediction	34
The dynamical motion of a gyrostat for the irrational frequency case	33
Spreading and rebound dynamics of sub-millimetre urea-water-solution droplets impinging on substrates of varying wettability	33
A novel and efficient method for damage detection in beam-like structures solely based on damaged structure data and using mode shape curvature estimation	33
Study on theoretical modeling and vibration performance of an assembled cylindrical shell-plate structure with whirl motion	33
Global analysis of the COVID-19 pandemic using simple epidemiological models	33
An intensify atom search optimization for engineering design problems	33
Bending, vibration, buckling analysis of bi-directional FG porous microbeams with a variable material length scale parameter	33
A cooperative game theory approach for location-routing-inventory decisions in humanitarian relief chain incorporating stochastic planning	32
Nonlinear forced vibration of in-plane bi-directional functionally graded materials rectangular plate with global and localized geometrical imperfections	32
Quantized fixed-time fault-tolerant attitude control for hypersonic reentry vehicles	32
The threshold of a deterministic and a stochastic SIQS epidemic model with varying total population size	32
Stability analysis of heterogeneous traffic flow influenced by memory feedback control signal	32
Reliability analysis for multi-component systems with interdependent competing failure processes	32
Hybrid reliability-based sequential optimization for PID vibratory controller design considering interval and fuzzy mixed uncertainties	32
Numerical study of bifurcation blood flows using three different non-Newtonian constitutive models	32
Impact response analysis of stiffened sandwich functionally graded porous materials doubly-curved shell with re-entrant honeycomb auxetic core	32
Controlling the natural convection of a non-Newtonian fluid using a flexible fin	32
Generalized isogeometric boundary element method for uncertainty analysis of time-harmonic wave propagation in infinite domains	32
Allee effect in prey’s growth reduces the dynamical complexity in prey-predator model with generalist predator	31
Dispersion relations of in-plane elastic waves in nano-scale one dimensional piezoelectric semiconductor/piezoelectric dielectric phononic crystal with the consideration of interface effect	31
A new Poincaré map for investigating the complex walking behavior of the compass-gait biped robot	31
Numerical solutions for tunnels excavated in strain-softening rock masses considering a combined support system	31
Mechanical characteristics and nonlinear dynamic response analysis of rotor-bearing-coupling system	31
Dynamic behaviors of single- and multi-span functionally graded porous beams with flexible boundary constraints	31
Mitigation of railway-induced vibrations by using periodic wave impeding barriers	31
Transmission dynamics and control methodology of COVID-19: A modeling study	31
Synchronization and stability of a far-resonant vibrating system with three rollers driven by two vibrators	31
A hybrid metaheuristic algorithm for identification of continuous-time Hammerstein systems	31
Dynamic analysis of multilayered unsaturated poroelastic media subjected to a vertical time-harmonic load	31
Correlation propagation for uncertainty analysis of structures based on a non-probabilistic ellipsoidal model	31
Reliability modeling of two-unit cold standby systems: A periodic switching approach	30
An innovative flower pollination algorithm for continuous optimization problem	30
Free vibration of self-powered nanoribbons subjected to thermal-mechanical-electrical fields based on a nonlocal strain gradient theory	30
An open queuing network-based tool for performance estimations in a shuttle-based storage and retrieval system	30
Multiscale analysis on free vibration of functionally graded graphene reinforced PMMA composite plates	30
Mathematical modeling and bifurcation analysis of pro- and anti-tumor macrophages	30
Model-free prescribed performance fixed-time control for wearable exoskeletons	30
Nonlocal steady-state thermoelastic analysis of functionally graded materials by using peridynamic differential operator	30
Cooperative optimization of velocity planning and energy management for connected plug-in hybrid electric vehicles	30
A possibilistic-robust-fuzzy programming model for designing a game theory based blood supply chain network	30
Condition-based maintenance with imperfect inspections for continuous degradation processes	30
Enriched mixed numerical manifold formulation with continuous nodal gradients for dynamics of fractured poroelasticity	30
Numerical simulation of the performance of a centrifugal pump with a semi-open impeller under normal and cavitating conditions	30
Unraveling the dynamics of the Omicron and Delta variants of the 2019 coronavirus in the presence of vaccination, mask usage, and antiviral treatment	30
Fractional model for the spread of COVID-19 subject to government intervention and public perception	30
Variational iteration and successive approximation methods for a SIR epidemic model with constant vaccination strategy	29
An isogeometric boundary element approach for topology optimization using the level set method	29
A mortar segment-to-segment contact method for stabilized total-Lagrangian smoothed particle hydrodynamics	29
Integrating traffic routing optimization and train formation plan using simulated annealing algorithm	29
Analytical model for meshing stiffness, load sharing, and transmission error for spur gears with profile modification under non-nominal load conditions	29

An optimization technique for solving a class of nonlinear fractional optimal control problems: Application in cancer treatment	29
Ensemble forecasting system based on decomposition-selection-optimization for point and interval carbon price prediction	29
Event-Triggered Impulsive Controller Design for Synchronization of Delayed Chaotic Neural Networks and Its Fractal Reconstruction: An Application to Image Encryption	28
Nonlinear coupling vibrations of graphene composite laminated sheets impacted by particles	28
Reliability analysis for Weibull distribution with homogeneous heavily censored data based on Bayesian and least-squares methods	28
Numerical investigation of condensation shock and re-entrant jet dynamics around a cavitating hydrofoil using a dynamic cubic nonlinear subgrid-scale model	28
A novel recursive multivariate nonlinear time-series modeling method by using the coupling identification concept	27
The phase-field model with an auto-calibrated degradation function based on general softening laws for cohesive fracture	27
A class of 2n+1 dimensional simplest Hamiltonian conservative chaotic systems and fast image encryption schemes	27
Throughput performance analysis of Automated Vehicle Storage and Retrieval Systems with multiple-tier shuttle vehicles	27
Crack tip asymptotic fields in anisotropic planes: Importance of higher order terms	27
A novel two-stage framework for reducing ergonomic risks of a mixed-model parallel U-shaped assembly-line	27
The impact of virus carrier screening and actively seeking treatment on dynamical behavior of a stochastic HIV/AIDS infection model	27
Optimal periodic preventive maintenance policies for systems subject to shocks	27
Thermal alternation induced vibration analysis of spacecraft with lateral solar arrays in orbit	27
Dynamic modeling and analysis of wind turbine drivetrain considering the effects of non-torque loads	27
Nonlocal dual-phase-lagging thermoelastic damping in rectangular and circular micro/nanoplate resonators	27
A hybrid sensitivity function and Lanczos bidiagonalization-Tikhonov method for structural model updating: Application to a full-scale bridge structure	27
Optimal freshness and carbon abatement decisions in a two-echelon cold chain	27
An improved mesh stiffness model of helical gear pair considering axial mesh force and friction force influenced by surface roughness under EHL condition	26
Three-dimensional vehicle-ballasted track-subgrade interaction: Model construction and numerical analysis	26
Homoclinic bifurcations and chaotic dynamics of non-planar waves in axially moving beam subjected to thermal load	26
An application of neural networks to the prediction of aerodynamic coefficients of aerofoils and wings	26
The effect of various boundary conditions on the nonlinear dynamics of slightly curved pipes under thermal loading	26
Fully discrete energy stable scheme for a phase-field moving contact line model with variable densities and viscosities	26
An analytical spectral stiffness method for buckling of rectangular plates on Winkler foundation subject to general boundary conditions	26
Improving sustainability and social responsibility of a two-tier supply chain investing in emission reduction technology	26
Isogeometric analysis for non-classical Bernoulli-Euler beam model incorporating microstructure and surface energy effects	25
Accurate and real-time structural topology prediction driven by deep learning under moving morphable component-based framework	25
A heuristic method for the supplier selection and order quantity allocation problem	25
Optimal guidance strategy for crowd evacuation with multiple exits: A hybrid multiscale modeling approach	25
Phytoplankton-zooplankton interaction under environmental stochasticity: Survival, extinction and stability	25
Nonlinear axisymmetric bending analysis of strain gradient thin circular plate	25
Dynamic analysis of multiple inclined and frictional impact-contacts in multi-branch robotic systems	25
A mathematical model applied to investigate the potential impact of global warming on marine ecosystems	25
Energy harvesting of a fluid-conveying piezoelectric pipe	25
Uniform finite-time stability of nonlinear impulsive time-varying systems	25
A data-driven surrogate model to rapidly predict microstructure morphology during physical vapor deposition	25
Ensemble learning for remaining fatigue life prediction of structures with stochastic parameters: A data-driven approach	25
Fractional order theory of Cattaneo-type thermoelasticity using new fractional derivatives	25
Thermal buckling and free vibration of viscoelastic functionally graded sandwich shells with tunable auxetic honeycomb core	25
A novel reliability-based design method based on quantile-based first-order second-moment	25
Application of non-smooth NES in vibration suppression of rotor-blade systems	25
One-dimensional stress-driven nonlocal integral model with bi-Helmholtz kernel: Close form solution and consistent size effect	25
Effect of mass transfer and diffusion of nanofluid on the thermal ablation of malignant cells during magnetic hyperthermia	25
Analyses of thermal buckling and secondary instability of post-buckled S-FGM plates with porosities based on a meshfree method	25
New damage evolution model of rock material	24
Optimal plan for Wiener constant-stress accelerated degradation model	24
Nonlinear random vibrations of functionally graded porous nanobeams using equivalent linearization method	24
Dynamics of an HIV Infection Model with Two Infection Routes and Evolutionary Competition between Two Viral Strains	24
Mathematical modeling of heterogeneous metal foams for phase-change heat transfer enhancement of latent heat thermal energy storage units	24
On new buckling solutions of moderately thick rectangular plates by the symplectic superposition method within the Hamiltonian-system framework	24
Optimization design method for kirigami-inspired space deployable structures with cylindrical surfaces	24
Stochastic resonance in a piecewise bistable energy harvesting model driven by harmonic excitation and additive Gaussian white noise	24
Postbuckling analysis of multi-directional perforated FGM plates using NURBS-based IGA and FCM	24
A two-stage multi-damage detection approach for composite structures using MKECR-Tikhonov regularization iterative method and model updating procedure	24
A simplified non-axisymmetric pile-soil interaction model for pile integrity testing analysis	24
Adaptive disturbance observer-based control of hydraulic systems with asymptotic stability	24
3D dynamic analysis of layered transversely isotropic saturated media subjected to circular moving loads	24
Electroosmotic flow and heat transfer in a heterogeneous circular microchannel	23
Optimal pricing and complex analysis for low-carbon apparel supply chains	23
A discrete wavelet transform and singular value decomposition-based digital video watermark method	23
Reliability and maintenance analysis of a degradation-threshold-shock model for a system in a dynamic environment	23
Memory response on magneto-thermoelastic vibrations on a viscoelastic micro-beam exposed to a laser pulse heat source	23
Dynamic modeling and experimental study of a complex fluid-conveying pipeline system with series and parallel structures	23
A coupled model for investigating the interfacial and fatigue damage evolution of slab tracks in vehicle-track interaction	23
A refined analytical model for the mesh stiffness calculation of plastic gear pairs	23
A Broyden–Fletcher–Goldfarb–Shanno algorithm for reliability-based design optimization	23
Active flow control optimisation on SD7003 airfoil at pre and post-stall angles of attack using synthetic jets	23
New metamaterial mathematical modeling of acoustic topological insulators via tunable underwater local resonance	23
A theoretical evaluation method for mechanical sealing integrity of cementing sheath	23
Low carbon inventory model for vendor‒buyer system with hybrid production and adjustable production rate under stochastic demand	22
Statistical inference for the reliability of Burr-XII distribution under improved adaptive Type-II progressive censoring	22
Nonlinear dynamic responses of functionally graded graphene platelet reinforced composite cantilever rotating warping plate	22
Non-dimensional analysis of the bandgap formation in a locally resonant metamaterial pipe conveying fluid	22
Vibration analysis of functionally graded porous cylindrical shells filled with dense fluid using an energy method	22
Magnetically tunable bandgaps in phononic crystal nanobeams incorporating microstructure and flexoelectric effects	22
Stability analysis of viscoelastic pipes conveying fluid with different boundary conditions described by fractional Zener model	22
Disaster relief logistics under demand-supply incongruence environment: A sequential approach	22
Novel biogeography-based optimization algorithm with hybrid migration and global-best Gaussian mutation	22
Thermo-mechanical analysis of porous functionally graded graphene reinforced cylindrical panels using an improved third order shear deformable model	22
Three-dimensional dynamics of a cantilevered pipe conveying pulsating fluid	22
A 3D SPH-based entirely Lagrangian meshfree hydroelastic FSI solver for anisotropic composite structures	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
Bifurcation and stability of a delayed SIS epidemic model with saturated incidence and treatment rates in heterogeneous networks	22
Analysis of a fractional epidemic model by fractional generalised homotopy analysis method using modified Riemann - Liouville derivative	22
Quantile deep learning model and multi-objective opposition elite marine predator optimization algorithm for wind speed prediction	22
Coupled vibration analysis for equivalent dynamic model of the space antenna truss	21
Multi-parameter grey prediction model based on the derivation method	21
Parameter estimation of fire propagation models using level set methods	21
A combined prediction model based on secondary decomposition and intelligence optimization for carbon emission	21
The optimal design of dynamic systems with negative stiffness inertial amplifier tuned mass dampers	21
Isogeometric structural shape optimization using automatic sensitivity analysis	21
Nonlinear transverse vibration of a hyperelastic beam under harmonic axial loading in the subcritical buckling regime	21
Cooperative inventory games in multi-echelon supply chains under carbon tax policy: Vertical or horizontal?	21