Applied Mathematical Modelling

Article	Citations
Atomic orbital search: A novel metaheuristic algorithm	181
A novel interval dynamic reliability computation approach for the risk evaluation of vibration active control systems based on PID controllers	128
Vibration isolation and energy harvesting integrated in a Stewart platform with high static and low dynamic stiffness	126
A coupled incompressible SPH-Hamiltonian SPH solver for hydroelastic FSI corresponding to composite structures	103
Forecasting the renewable energy consumption of the European countries by an adjacent non-homogeneous grey model	99
A novel time-delay multivariate grey model for impact analysis of CO2 emissions from China’s transportation sectors	95
The dynamic characteristics of pure-quartic solitons and soliton molecules	95
Analytical solution for horizontal vibration of end-bearing single pile in radially heterogeneous saturated soil	83
A novel car-following inertia gray model and its application in forecasting short-term traffic flow	81
Analytical features of the SIR model and their applications to COVID-19	80
A mesh stiffness method using slice coupling for spur gear pairs with misalignment and lead crown relief	78
Free vibration response of smart sandwich plates with porous CNT-reinforced and piezoelectric layers	76
Designing a Closed-loop Supply Chain Network Considering Social Factors; A Case Study on Avocado Industry	75
The role of surrogate models in the development of digital twins of dynamic systems	74
Recycling channel selection and coordination in dual sales channel closed-loop supply chains	73
Malaria and COVID-19 co-dynamics: A mathematical model and optimal control	73
Design of a combined wind speed forecasting system based on decomposition-ensemble and multi-objective optimization approach	71
Free vibration analysis of a rotating graphene nanoplatelet reinforced pre-twist blade-disk assembly with a setting angle	70
Large-amplitude oscillations of composite conical nanoshells with in-plane heterogeneity including surface stress effect	70
Modeling of memristor-based Hindmarsh-Rose neuron and its dynamical analyses using energy method	69
Review of fractional epidemic models	69
Design of multi innovation fractional LMS algorithm for parameter estimation of input nonlinear control autoregressive systems	67
An unequal adjacent grey forecasting air pollution urban model	63
Material optimization of tri-directional functionally graded plates by using deep neural network and isogeometric multimesh design approach	63
An optimization method for control parameters of underwater gliders considering energy consumption and motion accuracy	63

An analytical model for rapid predicting molten pool geometry of selective laser melting (SLM)	61
A new hybrid optimization ensemble learning approach for carbon price forecasting	61
Self-adaptive salp swarm algorithm for engineering optimization problems	61
A quantum-behaved simulated annealing algorithm-based moth-flame optimization method	59
The fractional Kelvin-Voigt model for circumferential guided waves in a viscoelastic FGM hollow cylinder	58
Nonlinear vibrations of functionally graded graphene reinforced composite cylindrical panels	57
Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load	57
A magnetic field coupling fractional step lattice Boltzmann model for the complex interfacial behavior in magnetic multiphase flows	56
Coupled orbit-attitude dynamics and trajectory tracking control for spacecraft electromagnetic docking	56
Long-range dependence and heavy tail characteristics for remaining useful life prediction in rolling bearing degradation	55
Enhanced resolution of the continuity equation in explicit weakly compressible SPH simulations of incompressible free‐surface fluid flows	55
Feed-in tariff or tax-rebate regulation? Dynamic decision model for the solar photovoltaic supply chain	55
Multi-period dynamic distributionally robust pre-positioning of emergency supplies under demand uncertainty	54
Numerical approach for modeling fractional heat conduction in porous medium with the generalized Cattaneo model	53
Three-dimensional topology optimization of a fluid–structure system using body-fitted mesh adaption based on the level-set method	52
Elastic buckling and free vibration analysis of functionally graded Timoshenko beam with nonlocal strain gradient integral model	52
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	52
Cooperative car-following control with electronic throttle and perceived headway errors on gyroidal roads	52
Dynamics of perforated nanobeams subject to moving mass using the nonlocal strain gradient theory	51
Further enhancement of the particle shifting technique: Towards better volume conservation and particle distribution in SPH simulations of violent free-surface flows	51
Energy balance and synchronization via inductive-coupling in functional neural circuits	51
Non-probabilistic polygonal convex set model for structural uncertainty quantification	51
A full-stage creep model for rocks based on the variable-order fractional calculus	50
Optimal lot-sizing and shipment decisions in a three-echelon supply chain for growing items with inventory level- and expiration date-dependent demand	50
Enhanced salp swarm algorithm based on firefly algorithm for unrelated parallel machine scheduling with setup times	49
In-plane quasi-zero-stiffness vibration isolator using magnetic interaction and cables: Theoretical and experimental study	49
A new mesh stiffness model for modified spur gears with coupling tooth and body flexibility effects	49
Prediction of arch dam deformation via correlated multi-target stacking	48
The scaled boundary finite element method based on the hybrid quadtree mesh for solving transient heat conduction problems	48
Nonlinear parametric vibration of spinning pipes conveying fluid with varying spinning speed and flow velocity	48
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	47
On the characteristics of a quasi-zero-stiffness vibration isolator with viscoelastic damper	47
Numerical investigation of cavitation-vortex interaction with special emphasis on the multistage shedding process	46
Impact of product perishability on agri-food supply chains design	46
Nonlinear free and forced vibrations of fractional modeled viscoelastic FGM micro-beam	46
A lattice Boltzmann modelling of electrohydrodynamic conduction phenomenon in dielectric liquids	44
Dynamic modeling and fuzzy compensation sliding mode control for flexible manipulator servo system	44
Dynamic modeling and vibration prediction of an industrial robot in manufacturing	44
Variable order fractional grey model and its application	44
Impact response analysis of stiffened sandwich functionally graded porous materials doubly-curved shell with re-entrant honeycomb auxetic core	44
Rigorous solution for kinematic response of floating piles subjected to vertical P-wave	44
Design of a nonlinear model for the propagation of COVID-19 and its efficient nonstandard computational implementation	43
Nonlinear control strategies for a UAV carrying a load with swing attenuation	43
Vectorial surrogate modeling method for multi-objective reliability design	43
Dynamic response analysis of vehicle and asphalt pavement coupled system with the excitation of road surface unevenness	42
A combined radial basis function and adaptive sequential sampling method for structural reliability analysis	42
Simultaneous energy harvesting and vibration isolation via quasi-zero-stiffness support and radially distributed piezoelectric cantilever beams	42
Density waves in car-following model for autonomous vehicles with backward looking effect	42
Bifurcation analysis of a heterogeneous continuum traffic flow model	42
Modeling airborne pathogen transport and transmission risks of SARS-CoV-2	41

Investigating the performance of tri-stable magneto-piezoelastic absorber in simultaneous energy harvesting and vibration isolation	41
Thermodynamic modeling of viscoelastic thin rotating microbeam based on non-Fourier heat conduction	41
A modal analysis of vibration response of a cracked fluid-filled cylindrical shell	41
Free vibration of self-powered nanoribbons subjected to thermal-mechanical-electrical fields based on a nonlocal strain gradient theory	40
Transfer matrix method for the free and forced vibration analyses of multi-step Timoshenko beams coupled with rigid bodies on springs	40
A lateral resupply blood supply chain network design under uncertainties	39
Optimal allocation of regional water resources based on multi-objective dynamic equilibrium strategy	39
Optimal control of variable-order fractional model for delay cancer treatments	39
A modified Artificial Bee Colony algorithm for structural damage identification under varying temperature based on a novel objective function	39
Dissipative analysis for high speed train systems via looped-functional and relaxed condition methods	39
Generalized isogeometric boundary element method for uncertainty analysis of time-harmonic wave propagation in infinite domains	39
Dynamic modelling and vibration characteristics analysis for the bolted joint with spigot in the rotor system	39
Modeling approach for flexible shaft-disk-drum rotor systems with elastic connections and supports	39
Dynamic torsional impedance of large-diameter pipe pile for offshore engineering: 3D analytical solution	38
Applying nonlocal strain gradient theory to size-dependent analysis of functionally graded carbon nanotube-reinforced composite nanoplates	38
Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments	38
Numerical analysis on stability of functionally graded graphene platelets (GPLs) reinforced dielectric composite plate	37
Nonlinear dynamics of fluid-conveying composite pipes subjected to time-varying axial tension in sub- and super-critical regimes	37
Stability analysis of heterogeneous traffic flow influenced by memory feedback control signal	37
The threshold of a deterministic and a stochastic SIQS epidemic model with varying total population size	36
Study on theoretical modeling and vibration performance of an assembled cylindrical shell-plate structure with whirl motion	36
Correlation propagation for uncertainty analysis of structures based on a non-probabilistic ellipsoidal model	36
A cooperative game theory approach for location-routing-inventory decisions in humanitarian relief chain incorporating stochastic planning	36
Active learning relevant vector machine for reliability analysis	36
Partial differential grey model based on control matrix and its application in short-term traffic flow prediction	36
A hybrid metaheuristic algorithm for identification of continuous-time Hammerstein systems	36
A linear uncertain pharmacokinetic model driven by Liu process	36
Spreading and rebound dynamics of sub-millimetre urea-water-solution droplets impinging on substrates of varying wettability	36
A novel and efficient method for damage detection in beam-like structures solely based on damaged structure data and using mode shape curvature estimation	35
Large Eddy simulation of ventilated cavitation with an insight on the correlation mechanism between ventilation and vortex evolutions	35
Global analysis of the COVID-19 pandemic using simple epidemiological models	35
Free vibration of the one-dimensional piezoelectric quasicrystal microbeams based on modified couple stress theory	35
A novel recursive multivariate nonlinear time-series modeling method by using the coupling identification concept	35
A class of 2n+1 dimensional simplest Hamiltonian conservative chaotic systems and fast image encryption schemes	35
Quantized fixed-time fault-tolerant attitude control for hypersonic reentry vehicles	35
Controlling the natural convection of a non-Newtonian fluid using a flexible fin	35
Hybrid reliability-based sequential optimization for PID vibratory controller design considering interval and fuzzy mixed uncertainties	35
An intensify atom search optimization for engineering design problems	35
Multiscale analysis on free vibration of functionally graded graphene reinforced PMMA composite plates	35
Crack tip asymptotic fields in anisotropic planes: Importance of higher order terms	35
The dynamical motion of a gyrostat for the irrational frequency case	34
Ensemble forecasting system based on decomposition-selection-optimization for point and interval carbon price prediction	34
Numerical study of bifurcation blood flows using three different non-Newtonian constitutive models	34
Nonlinear forced vibration of in-plane bi-directional functionally graded materials rectangular plate with global and localized geometrical imperfections	34
A novel robust fuzzy mean-UPM model for green closed-loop supply chain network design under distribution ambiguity	34
Allee effect in prey’s growth reduces the dynamical complexity in prey-predator model with generalist predator	34
Reliability analysis for multi-component systems with interdependent competing failure processes	34
Numerical solutions for tunnels excavated in strain-softening rock masses considering a combined support system	33
Mechanical characteristics and nonlinear dynamic response analysis of rotor-bearing-coupling system	33
Cooperative optimization of velocity planning and energy management for connected plug-in hybrid electric vehicles	33
Mitigation of railway-induced vibrations by using periodic wave impeding barriers	33
Event-Triggered Impulsive Controller Design for Synchronization of Delayed Chaotic Neural Networks and Its Fractal Reconstruction: An Application to Image Encryption	33
Synchronization and stability of a far-resonant vibrating system with three rollers driven by two vibrators	33
Analytical model for meshing stiffness, load sharing, and transmission error for spur gears with profile modification under non-nominal load conditions	33
An optimization technique for solving a class of nonlinear fractional optimal control problems: Application in cancer treatment	32
A new Poincaré map for investigating the complex walking behavior of the compass-gait biped robot	32
Unraveling the dynamics of the Omicron and Delta variants of the 2019 coronavirus in the presence of vaccination, mask usage, and antiviral treatment	32
Dispersion relations of in-plane elastic waves in nano-scale one dimensional piezoelectric semiconductor/piezoelectric dielectric phononic crystal with the consideration of interface effect	32
Dynamic analysis of multilayered unsaturated poroelastic media subjected to a vertical time-harmonic load	32
Variational iteration and successive approximation methods for a SIR epidemic model with constant vaccination strategy	32
A Broyden–Fletcher–Goldfarb–Shanno algorithm for reliability-based design optimization	32
Numerical simulation of the performance of a centrifugal pump with a semi-open impeller under normal and cavitating conditions	32
Bending, vibration, buckling analysis of bi-directional FG porous microbeams with a variable material length scale parameter	32
Numerical investigation of condensation shock and re-entrant jet dynamics around a cavitating hydrofoil using a dynamic cubic nonlinear subgrid-scale model	31
A possibilistic-robust-fuzzy programming model for designing a game theory based blood supply chain network	31
Reliability modeling of two-unit cold standby systems: A periodic switching approach	31
An open queuing network-based tool for performance estimations in a shuttle-based storage and retrieval system	31
Model-free prescribed performance fixed-time control for wearable exoskeletons	31
Transmission dynamics and control methodology of COVID-19: A modeling study	31
Energy harvesting of a fluid-conveying piezoelectric pipe	30
A mortar segment-to-segment contact method for stabilized total-Lagrangian smoothed particle hydrodynamics	30
Nonlocal steady-state thermoelastic analysis of functionally graded materials by using peridynamic differential operator	30
Fractional model for the spread of COVID-19 subject to government intervention and public perception	30
Mathematical modeling and bifurcation analysis of pro- and anti-tumor macrophages	30
Integrating traffic routing optimization and train formation plan using simulated annealing algorithm	30
The effect of various boundary conditions on the nonlinear dynamics of slightly curved pipes under thermal loading	29
Optimal freshness and carbon abatement decisions in a two-echelon cold chain	29
Throughput performance analysis of Automated Vehicle Storage and Retrieval Systems with multiple-tier shuttle vehicles	28
A novel two-stage framework for reducing ergonomic risks of a mixed-model parallel U-shaped assembly-line	28
Nonlinear coupling vibrations of graphene composite laminated sheets impacted by particles	28

A data-driven surrogate model to rapidly predict microstructure morphology during physical vapor deposition	28
Optimal periodic preventive maintenance policies for systems subject to shocks	28
Improving sustainability and social responsibility of a two-tier supply chain investing in emission reduction technology	28
Electroosmotic flow and heat transfer in a heterogeneous circular microchannel	28
Uniform finite-time stability of nonlinear impulsive time-varying systems	28
Mathematical modeling of heterogeneous metal foams for phase-change heat transfer enhancement of latent heat thermal energy storage units	28
Ensemble learning for remaining fatigue life prediction of structures with stochastic parameters: A data-driven approach	28
Accurate and real-time structural topology prediction driven by deep learning under moving morphable component-based framework	28
Application of non-smooth NES in vibration suppression of rotor-blade systems	28
One-dimensional stress-driven nonlocal integral model with bi-Helmholtz kernel: Close form solution and consistent size effect	28
An application of neural networks to the prediction of aerodynamic coefficients of aerofoils and wings	27
Adaptive disturbance observer-based control of hydraulic systems with asymptotic stability	27
A heuristic method for the supplier selection and order quantity allocation problem	27
Optimal guidance strategy for crowd evacuation with multiple exits: A hybrid multiscale modeling approach	27
Analyses of thermal buckling and secondary instability of post-buckled S-FGM plates with porosities based on a meshfree method	27
Nonlocal dual-phase-lagging thermoelastic damping in rectangular and circular micro/nanoplate resonators	27
A mathematical model applied to investigate the potential impact of global warming on marine ecosystems	27
Low carbon inventory model for vendor‒buyer system with hybrid production and adjustable production rate under stochastic demand	27
A combined prediction model based on secondary decomposition and intelligence optimization for carbon emission	27
Thermal buckling and free vibration of viscoelastic functionally graded sandwich shells with tunable auxetic honeycomb core	27
A novel reliability-based design method based on quantile-based first-order second-moment	27
3D dynamic analysis of layered transversely isotropic saturated media subjected to circular moving loads	27
Optimal pricing and complex analysis for low-carbon apparel supply chains	27
A hybrid sensitivity function and Lanczos bidiagonalization-Tikhonov method for structural model updating: Application to a full-scale bridge structure	27
Optimization design method for kirigami-inspired space deployable structures with cylindrical surfaces	26
Vibration analysis of functionally graded porous cylindrical shells filled with dense fluid using an energy method	26
Magnetically tunable bandgaps in phononic crystal nanobeams incorporating microstructure and flexoelectric effects	26
A coupled model for investigating the interfacial and fatigue damage evolution of slab tracks in vehicle-track interaction	26
Reliability and maintenance analysis of a degradation-threshold-shock model for a system in a dynamic environment	26
Isogeometric analysis for non-classical Bernoulli-Euler beam model incorporating microstructure and surface energy effects	26
Dynamic analysis of multiple inclined and frictional impact-contacts in multi-branch robotic systems	26
Dynamic modeling and experimental study of a complex fluid-conveying pipeline system with series and parallel structures	26
Dual-function quasi-zero-stiffness dynamic vibration absorber: Low-frequency vibration mitigation and energy harvesting	26
Nonlinear axisymmetric bending analysis of strain gradient thin circular plate	26
An improved mesh stiffness model of helical gear pair considering axial mesh force and friction force influenced by surface roughness under EHL condition	26
A 3D SPH-based entirely Lagrangian meshfree hydroelastic FSI solver for anisotropic composite structures	26
Phytoplankton-zooplankton interaction under environmental stochasticity: Survival, extinction and stability	26
Non-dimensional analysis of the bandgap formation in a locally resonant metamaterial pipe conveying fluid	26
Nonlinear random vibrations of functionally graded porous nanobeams using equivalent linearization method	25
Stability analysis of viscoelastic pipes conveying fluid with different boundary conditions described by fractional Zener model	25
Bifurcation and stability of a delayed SIS epidemic model with saturated incidence and treatment rates in heterogeneous networks	25
A refined analytical model for the mesh stiffness calculation of plastic gear pairs	25
On the poroelastic vibrations of lightweight FGSP doubly-curved shells integrated with GNPs-reinforced composite coatings in thermal atmospheres	25
Leader-follower formation of light-weight UAVs with novel active disturbance rejection control	25
Fractional order theory of Cattaneo-type thermoelasticity using new fractional derivatives	25
A two-stage multi-damage detection approach for composite structures using MKECR-Tikhonov regularization iterative method and model updating procedure	25
A simplified non-axisymmetric pile-soil interaction model for pile integrity testing analysis	25
On new buckling solutions of moderately thick rectangular plates by the symplectic superposition method within the Hamiltonian-system framework	25
Thermo-mechanical analysis of porous functionally graded graphene reinforced cylindrical panels using an improved third order shear deformable model	25
Memory response on magneto-thermoelastic vibrations on a viscoelastic micro-beam exposed to a laser pulse heat source	24
Hybrid active contour model driven by optimized local pre-fitting image energy for fast image segmentation	24
Path planning for guided passengers during evacuation in subway station based on multi-objective optimization	24
Analysis of a fractional epidemic model by fractional generalised homotopy analysis method using modified Riemann - Liouville derivative	24
Three-dimensional dynamics of a cantilevered pipe conveying pulsating fluid	24
Vertical dynamic response of a floating pile in unsaturated poroelastic media based on the fictitious unsaturated soil pile model	24
Statistical inference for the reliability of Burr-XII distribution under improved adaptive Type-II progressive censoring	24
Cooperative inventory games in multi-echelon supply chains under carbon tax policy: Vertical or horizontal?	24
Stochastic resonance in a piecewise bistable energy harvesting model driven by harmonic excitation and additive Gaussian white noise	24
Quantile deep learning model and multi-objective opposition elite marine predator optimization algorithm for wind speed prediction	24
Channel structures and information value in a closed-loop supply chain with corporate social responsibility based on the third-party collection	24
Joint estimation of gas and wind maps for fast-response applications	24
The optimal design of dynamic systems with negative stiffness inertial amplifier tuned mass dampers	24
Topology optimization of thermoelastic structures using MMV method	23
Nonlinear transverse vibration of a hyperelastic beam under harmonic axial loading in the subcritical buckling regime	23
A fractional order age-specific smoke epidemic model	23
Towards accurate modeling of the Tachi-Miura origami in vibration isolation platform with geometric nonlinear stiffness and damping	23
Homoclinic bifurcation for a bi-stable piezoelectric energy harvester subjected to galloping and base excitations	23
New metamaterial mathematical modeling of acoustic topological insulators via tunable underwater local resonance	23
Equivalent circuit modelling of large hydropower plants with complex tailrace system for ultra-low frequency oscillation analysis	23
Advanced comminution modelling: Part 1 – Crushers	23
Tribe-charged system search for global optimization	23
Hopf bifurcation analysis in a predator-prey model with predator-age structure and predator-prey reaction time delay	23
Isogeometric structural shape optimization using automatic sensitivity analysis	23
Nonlinear dynamic responses of functionally graded graphene platelet reinforced composite cantilever rotating warping plate	23
A new prescribed-time stability theorem for impulsive piecewise-smooth systems and its application to synchronization in networks	23
Active flow control optimisation on SD7003 airfoil at pre and post-stall angles of attack using synthetic jets	23
Novel hybrid extreme learning machine and multi-objective optimization algorithm for air pollution prediction	22
Size-dependent dynamical analysis of spinning nanotubes conveying magnetic nanoflow considering surface and environmental effects	22
Reliability-based topology optimization for heterogeneous composite structures under interval and convex mixed uncertainties	22
A damped bipedal inverted pendulum for human–structure interaction analysis	22
Blockchain-Enabled supply chains: An application in fresh-cut flowers	22
Multi-parameter grey prediction model based on the derivation method	22
Novel active-passive hybrid piezoelectric network for vibration suppression in fluid-conveying pipes	22
Mathematical modelling of phononic nanoplate and its size-dependent dispersion and topological properties	22
Iterative learning sliding mode control for output-constrained upper-limb exoskeleton with non-repetitive tasks	22
Relevance vector machine with tuning based on self-adaptive differential evolution approach for predictive modelling of a chemical process	22
Parameter estimation of fire propagation models using level set methods	22
Coupled vibration analysis for equivalent dynamic model of the space antenna truss	22
Industrial digital transformation strategies based on differential games	22
Thermo-elastic analysis of functionally graded graphene nanoplatelets (GPLs) reinforced closed cylindrical shells	22
Stability of salp swarm algorithm with random replacement and double adaptive weighting	22
Optimal control problem for a general reaction-diffusion eco-epidemiological model with disease in prey	22
Disaster relief logistics under demand-supply incongruence environment: A sequential approach	22
Weakened fractional-order accumulation operator for ill-conditioned discrete grey system models	21
Closed-loop online harmonic vibration estimation in DC electric motor systems	21