Applied Mathematical Modelling

Article	Citations
A generalized objective function based on weight coefficient for topology-finding of tensegrity structures	189
Balanced truncation for reduced‐order modeling of Piezoelectric Tonpilz Transducer on the limited frequency interval	137
Alternating direction method of multipliers for nonconvex log total variation image restoration	106
Mathematical modelling for shield tunneling induced displacement effects on in-service tunnel: theoretical solution including shearing deformation of segment and stiffness reduction of circumferential	104
A high-performance displacement prediction model of concrete dams integrating signal processing and multiple machine learning techniques	99
Periodic traveling waves in a taut cable on a bilinear elastic substrate	91
A novel clustering approach based on grey possibility functions for multidimensional systems	85
An analytical approximate solution for stress and displacement around a shallow circular tunnel excavated under concave slope topography	80
Disturbance rejection and robust tracking control design for turbofan systems	78
A new active-learning function for adaptive Polynomial-Chaos Kriging probability density evolution method	75
Modified shallow water model for viscous fluids and positivity preserving numerical approximation	74
Retraction notice to “A hybrid Finite element-Meshfree method based on partition of unity for transient wave propagation problems in homogeneous and inhomogeneous media” Applied Mathematical Modelling	73
Applications of the multi-sigmoidal deterministic and stochastic logistic models for plant dynamics	73
Editorial Board	72
Adaptive predefined time neural filtered control design for an uncertain nonlinear system and application to flight control	71
An embedding approach to multilayer diffusion problems with time-dependent boundaries on bounded and unbounded domains	71
The effects of Casimir, van der Waals and electrostatic forces on the response of nanosensor beams	68
Singular integral based closed-form solutions for modified EMPS models in semipermeable magneto-electro-elastic materials	67
Numerical investigation of particle deflection in tilted-angle standing surface acoustic wave microfluidic devices	66
Controlling the natural convection of a non-Newtonian fluid using a flexible fin	65
Analysis of the band structure of transient in-plane elastic waves based on the localized radial basis function collocation method	60
Theoretical, numerical and experimental studies on double-frequency synchronization of three exciters in dynamic vibration absorption system	60
Cylindrical indentation in micropolar elasticity	58
Mathematical modelling of Love waves propagation in viscoelastic waveguide loaded with complex fluids	58
Natural frequency analysis of shells of revolution based on hybrid dual-mixed hp<	57

Closed-loop online harmonic vibration estimation in DC electric motor systems	56
Modeling dependent series systems with q-Weibull distribution and Clayton copula	56
Benchmark solutions for the material length scale effect in flexoelectric nanobeam using a couple stress theory	56
Semi-analytical model of vehicle-pavement-continuous beam bridge coupled system	55
On use of train-track-subgrade dynamic model for investigating the train-induced cumulative deformation of subgrade and its dynamic effects	55
Statistical analysis of adaptive type-II progressively censored competing risks for Weibull models	54
Analytical solutions for joints in an infinite Euler-Bernoulli beam on a viscoelastic foundation subjected to time-lag loads	54
Enhancing wildfire propagation model predictions using aerial swarm-based real-time wind measurements: A conceptual framework	54
Design of a multifunctional elastic wave metamaterial for detecting or hiding objects	53
A new method for estimating the bending stiffness curve of non-uniform Euler-Bernoulli beams using static deflection data	53
Simulation of the nonplanar three-dimensional thermal cracking using the finite element-meshfree method	52
Analytical model for damping behaviour of an orthotropic cantilever hollow member with polygonal perforations	52
Advanced Reference-Constrained Image Restoration Algorithm	51
Editorial Board	51
Applications of Randers geodesics for wildfire spread modelling	51
Pore-scale simulation of salt fingers in porous media using a coupled iterative source-correction immersed boundary-lattice Boltzmann solver	50
Weak-form differential quadrature element analysis of plate on a tensionless and frictional foundation using a higher-order kinematics	50
Editorial Board	50
Editorial Board	49
Scheduling with a processing time oracle	49
A face-centred finite volume approach for coupled transport phenomena and fluid flow	48
Formation tracking of multi-robot systems with switching directed topologies based on Udwadia-Kalaba approach	48
Image trinarization using a partial differential equation: A novel approach to automatic sperm image analysis	48
Dynamical behavior and optimal control of a vector-borne diseases model on bipartite networks	47
An integrated mathematical method for traffic analysis of elevator systems	47
Existence of solution and uniform decay for a contact problem in laminated beam	47
A novel maximum volume sampling model for reliability analysis	47
Comments on “New approximations for solving the Caputo-type fractional partial differential equations”	47
A new solver for incompressible non-isothermal flows in natural and mixed convection over unstructured grids	46
On Boussinesq and Coriolis coefficients and their derivatives in transient pipe flows	45
A new approach for dynamic crack propagation modeling based on meshless Galerkin method and visibility based criterion	45
Stability analysis of energy dissipation mechanisms in rocks surrounding circular opening	45
A continuum electro-mechanical model of ultrasonic Langevin transducers to study its frequency response	44
Galloping analysis of the main cable in construction: An advanced nonlinear scheme	44
Multi-mode response spectrum for multi-harmonic crowd jumping loads	43
A bed pressure correction of the friction term for depth-averaged granular flow models	42
Computationally efficient higher-order three-scale method for nonlocal gradient elasticity problems of heterogeneous structures with multiple spatial scales	42
Influence of temperature on the elastic properties of graphene and graphene-like nanosheets based on the asymptotic homogenization method	42
Editorial Board	42
Multi-seasonal modelling of the African maize stalk borer with assessment of crop residue management	41
Editorial Board	41
Analysis of bending deformation considering shear effect in graphene nanoribbons coated with nano-film	41
Outbreak or extinction of bovine cysticercosis and human taeniasis: A Stochastic modelling approach	40
A pseudo-equilibrium finite element for limit analysis of Reissner-Mindlin plates	40
Thermomechanical vibration and buckling response of magneto-electro-elastic higher order laminated nanoplates	40
Scale-free dynamics of COVID-19 in a Brazilian city	40
Unified inverse isogeometric analysis and distributed fiber optic strain sensing for monitoring structure deformation and stress	40
Editorial Board	40
Mathematical modelling of Banana Black Sigatoka Disease with delay and Seasonality	39
Generalized hierarchical expected improvement method based on black-box functions of adaptive search strategy	39

Probabilistic CFD analysis on the flow field and performance of the FDA centrifugal blood pump	39
A fractional order age-specific smoke epidemic model	39
Modeling a turbulent multicomponent fluid with variable density using a two-fluid approach	39
Analytical method for mechanical analysis of multiple shallow tunnels with concrete linings	39
An envelope-function-based algorithm for time-dependent reliability analysis of structures with hybrid uncertainties	39
Effect of elastic restraints in the modeling of prestressed piezoelectric energy harvesters	38
Eulerian–Lagrangian modeling of spray G atomization with focus on vortex evolution and its interaction with cavitation	38
Design, modelling, implementation, and trajectory planning of a 3-DOF cable driven parallel robot	38
Probabilistic and cost analyses of a renewable warranty with an inspection policy for a discrete operating item from a heterogeneous population	38
Analysis of one-shot device testing data under logistic-exponential lifetime distribution with an application to SEER gallbladder cancer data	38
Optimal control for transboundary pollution under inter-temporal transfer of emission permits: A differential game approach	37
Analysis and verification of cable pretension effect on the buckling load of a single-link flexible mechanism	37
Assessing the Impact of Contact Tracing, Quarantine and Red Zone on the Dynamical Evolution of the Covid-19 Pandemic using the Cellular Automata Approach and the Resulting Mean Field System: A Case st	37
An adapted two-step approach to simulate nonlinear vibrations of patterned tires rolling on a smooth surface	37
Analytical approach to estimating the influence of friction slip contact between surrounding rock and concrete lining on mechanical response of deep rheological soft rock tunnels	37
A novel multi-scale modeling strategy based on variational asymptotic method for predicting the static and dynamic performance of composite sandwich structures	37
The applicability of Zermelo's equation to indirect and direct optimization of commercial aircraft flights	37
Free vibration of the one-dimensional piezoelectric quasicrystal microbeams based on modified couple stress theory	36
An efficient imperialist competitive algorithm with likelihood assimilation for topology, shape and sizing optimization of truss structures	36
Editorial Board	36
Effects of electronic throttle dynamics in non-equilibrium heterogeneous traffic flow without lane discipline	35
Accurate buckling analysis of magneto-electro-elastic cylindrical shells subject to hygro-thermal environments	35
Analytical study of Bragg resonances by a finite periodic array of congruent trapezoidal bars or trenches on a sloping seabed	35
Stochastic nonlinear model updating in structural dynamics using a novel likelihood function within the Bayesian-MCMC framework	35
Investigating the performance of tri-stable magneto-piezoelastic absorber in simultaneous energy harvesting and vibration isolation	35
Study on two-dimensional creep effects of RC slab structures	35
Numerical investigation of noise suppression and amplification in forced oscillations of single and tandem cylinders in high Reynolds number turbulent flows	34
Modelling of critical speed of railway tracks on a multi-layered transversely isotropic saturated ground	34
Path integration solutions for stochastic systems with Markovian jumps	33
Thermo-hydro-mechanical response of a multi-layered pavement with imperfect interface based on dual variable and position method	33
Image compression-hiding algorithm based on compressive sensing and integer wavelet transformation	33
Designing compact, connected and gap-free reserves with systematic reserve site selection models	33
Tracing curvature paths on trimmed multipatch surfaces	33
Local and global sensitivity analysis of spheroid and xenograft models of the acid-mediated development of tumor malignancy	33
A wide-bandwidth MEMS energy harvester based on a novel voltage-sliding stiffness tunability	33
An interactive grey multivariable model based on the dynamic accumulative driving effect and its application	32
Application of a high-performance grey prediction model to predict the cardiovascular disease mortality in elderly Chinese residents	32
Impact response of fractionally damped rectangular plates made of viscoelastic composite materials	32
Dynamic behavior of stochastic prostate cancer system with comprehensive therapy under regime switching	32
Optimization approaches to Wolbachia-based biocontrol	32
Comprehensive solutions for underwater tunnels in rock masses with different GSI values considering blast-induced damage zone and seepage forces	32
A deformation procedure using position-based dynamics to optimize the geometric model of woven fabrics	32
Neutron optics: New algorithm based on Green's functions for simulating waveguides with Dirichlet boundary conditions	31
A rate-dependent constitutive model of piezoelectric thermoelasticity and structural thermo-electromechanical responses analysis to multilayered laminated piezoelectric smart composites	31
Stochastic reserving using policyholder information via EM algorithm	31
Ensemble learning for remaining fatigue life prediction of structures with stochastic parameters: A data-driven approach	31
Short-term traffic flow prediction based on a hybrid optimization algorithm	31
A unified updated Lagrangian smoothed particle hydrodynamics for fluid-structure interaction problems with moving boundaries and interfaces	31
A novel particle filtering for nonlinear systems with multi-step randomly delayed measurements	30
Shape of a single inclusion enclosing uniform stress for a non-uniform far-field loading in anti-plane shear	30
Threshold dynamics in a clonorchiasis model with time delays	30
Portfolio optimization in real financial markets with both uncertainty and randomness	30
Cooperative inventory games in multi-echelon supply chains under carbon tax policy: Vertical or horizontal?	30
Reliability computation via a transformed mixed-degree cubature rule and maximum entropy	29
Credit-dependent demand in a vendor-buyer model with a two-level delay-in-payments contract under a consignment-stock policy agreement	29
A new homotopy approach for stochastic static model updating with large uncertain measurement errors	29
An efficient dynamic formulation for the vibration analysis of a multi-span power transmission line excited by a moving deicing robot	28
Influences of crack-face electric boundary conditions on stress intensity factors of ferroelectric single crystals	28
Modeling and evaluation of dynamic degradation behaviours of carbon fibre-reinforced epoxy composite shells	28
Non-dimensional analysis of the bandgap formation in a locally resonant metamaterial pipe conveying fluid	28
Application of state-space model with skew-t measurement noise to blood test value prediction	28
Analytical solution for arbitrary large deflection of geometrically exact beams using the homotopy analysis method	28
Bending of hyperelastic beams made of transversely isotropic material in finite elasticity	28
Effects of membrane polarization, steric repulsion and ion-solvent interactions on electroosmosis through a conical nanopore	27
Grain-based morphological simulation via fractal theory with experimental verification and corresponding optical properties in laser melting deposition additive manufacturing: A demystified approach	27
Diffusion in multi-dimensional solids using Forman’s combinatorial differential forms	27
Koopman operator-based driver-vehicle dynamic model for shared control systems	27
Applications of an improved Dixon elimination method for the inverse kinematics of 6R manipulators	27
Performance analysis of a geometrically nonlinear isolation system subjected to high levels of excitation	27
Weakened fractional-order accumulation operator for ill-conditioned discrete grey system models	27
A hierarchical control scheme for multiple aerial vehicle transportation systems with uncertainties and state/input constraints	27
A Laplace asymptotic integral-based reliability analysis method combined with artificial neural network	27
A novel hybrid adaptive scheme for Kriging-based reliability estimation – A comparative study	27
Friction-induced planar vibration of two rigid plates	27
A doubly sparse and low-patch-rank prior model for image restoration	27
Characteristic analyzes, experimental testing and control for attitude system of QUAV under disturbance	26
Methods to introduce floating bridge motion and wind excitation on a model for the investigation of heavy vehicle dynamics	26
The lot size problem and the learning curve: A review of mathematical modeling (1950’s -2020)	26
Adaptive and reversed penalty for analysis of high-dimensional correlated data	26
An analytical framework for local and global system kinematic reliability sensitivity of robotic manipulators	26

Derivation of a quasi-linear second-order elliptic-parabolic model for the efficiency of silicon solar cells	26
Joint energy capacity and production planning optimization in flow-shop systems	26
Dual-function quasi-zero-stiffness dynamic vibration absorber: Low-frequency vibration mitigation and energy harvesting	26
Equivalent circuit modelling of large hydropower plants with complex tailrace system for ultra-low frequency oscillation analysis	26
Gaussian expansion element method of the new dynamic modeling technique in non-uniform and variable cross-section structures	26
State transition-based novel dynamic control algorithm for vehicle-following performance improvement	26
Motion control of the spherical robot rolling on a vibrating plane	26
Analysis of layered rectangular plates under thermo-mechanical loads considering temperature-dependent material properties	26
Conservative second-order accurate finite-difference scheme for the coupled Maxwell-Dirac equations	26
Nonlinear IGABEM formulations for the mechanical modelling of 3D reinforced structures	26
Neural network stochastic differential equation models with applications to financial data forecasting	26
On the mean-parameterized Bell–Touchard regression model for count data	25
SOC-reactivity analysis for a newly defined class of two-dimensional soil organic carbon dynamics	25
Simplified hydrodynamic-wave particle method for the multiscale rarefied flow	25
A novel generalized odd log-logistic Maxwell-based regression with application to microbiology	25
Dynamic modeling and fuzzy compensation sliding mode control for flexible manipulator servo system	25
Variable stage self-correcting grey clustering model	25
Effects of intraguild prey dispersal driven by intraguild predator-avoidance on species coexistence	25
Concurrent topology optimization design for CNT orientation and CNTRC layout	25
Disturbance inspired equilibrium optimizer with application to constrained engineering design problems	25
Partial differential grey model based on control matrix and its application in short-term traffic flow prediction	25
Fixed-time neural network trajectory tracking control for the rigid-flexible coupled robotic mechanisms with large beam-deflections	25
A continuum-discrete multiscale coupling method for pristine and defected single-walled carbon nanotubes	24
Optimal replenishment strategy for a single-manufacturer multi-retailer cold chain considering multi-stage quality degradation	24
A hybrid analytical method for predicting vibrations in vacuum and water of the sandwich plate with z-direction reinforcements and cavities	24
Investigation on springback behaviours of hexagonal close-packed sheet metals	24
Dynamic response analysis of nonlinear structures with hybrid uncertainties	24
Dynamical analysis and optimal control of an age-since infection HIV model at individuals and population levels	24
Production decision making considering dual material types and setup time uncertainty	24
Complex switching dynamics and chatter alarm for aerial agents with artificial potential field method	24
Forced vibration of two-degrees-of-freedom machine tool feed system with clearance and friction	24
Studying the role of random translocation of GLUT4 in cardiomyocytes on calcium oscillations	24
Enrichment of three-dimensional numerical manifold method with cover-based contact theory for static and dynamic mechanical response analysis	23
Dynamic optimization for coordinated replenishment system considering seasonal demand and price quantity discount	23
Anti-plane dynamics of right-angle rare earth giant magnetostrictive medium with cylindrical conducting inclusion	23
Fractional model for the spread of COVID-19 subject to government intervention and public perception	23
Multi-scale analysis and Galerkin verification for dynamic stability of axially translating viscoelastic Timoshenko beams	23
Analysis of bifurcation and chaotic behavior for the flexspline of an electromagnetic harmonic drive system with movable teeth transmission	23
Tracking performance of the coaxial counter-paddle flight system using fractional active disturbance rejection controller	23
3D mechanical analysis of a self-contractile cell with stress fibers reorganization	23
Considering pickers’ learning effects in selecting between batch picking and batch-synchronized zone picking for online-to-offline groceries	23
Micro-combustion modelling with RBF-FD: A high-order meshfree method for reactive flows in complex geometries	23
Impact of surface hydrophobicity and ion steric effects on the electroosmotic flow and ion selectivity of a conical nanopore	23
A two-relaxation-time lattice Boltzmann study on the Soret and Dufour effects of double-diffusive convection over a rough surface	23
Semi-decoupled first-order correction for smoothed particle hydrodynamics	23
Novel Girsanov correction based Milstein schemes for analysis of nonlinear multi-dimensional stochastic dynamical systems	23
A minimal model of glucose-stimulated insulin secretion process explores factors responsible for the development of type 2 diabetes	23
An explicit approach for simultaneous shape and topology optimization of shell structures	23
Investigation of bio-thermo-mechanical responses based on nonlocal elasticity theory and fractional Pennes equation	23
Primal-dual hybrid gradient image denoising algorithm based on overlapping group sparsity and fractional-order total variation	22
Modeling of Multi-stepped Rotor-bearing Systems by the Continuous Segment Method	22
The optimal design of dynamic systems with negative stiffness inertial amplifier tuned mass dampers	22
Optimization model for low-carbon supply chain considering multi-level backup strategy under hybrid uncertainty	22
A Fourier neural operator-based lightweight machine learning framework for topology optimization	22
Simplified matching pursuits applied to 3D nuclear reactor temperature distribution construction	22
Novel perturbation solutions for deep-buried non-circular tunnels under biaxial in situ stress field based on Mohr-Coulomb criterion	22
On interactive fuzzy solutions for mechanical vibration problems	22
Algorithm for rapidly predicting the worst surface accuracy of deployable mesh reflectors	22
Influence of various balls and groove curvature radii on dynamic stiffness of ball bearings based on nonlinear dynamic model	22
Algorithm for controlling an inertioid robot with a flywheel and an unbalance in conditions of restrictions on the angular acceleration of the unbalance	22
NURBS-based IGA of viscous fluid movement with special-shaped small gaps in hybrid bearing	22
Flavoring search algorithm with applications to engineering optimization problems and robot path planning	22
Scaled boundary perfectly matched layer for wave propagation in a three-dimensional poroelastic medium	22
An interval spline finite point method for size-dependent mechanical behaviors of defective functionally graded material nanobeam	22
Time-varying external archive differential evolution algorithm with applications to parallel mechanisms	22
Static bending and forced vibration analyses of a piezoelectric semiconductor cylindrical shell within first-order shear deformation theory	22
Modelling the variation and uncertainty problem of right-turn-on-red queue in a variety of conflicting environments	22
A novel fuzzy algorithm for assembly precision management	22
Calibration of a radiation quality model for sparse and uncertain data	22
Quantized fixed-time fault-tolerant attitude control for hypersonic reentry vehicles	22
Reliability and maintenance of systems subject to Gamma degradation and shocks in dynamic environments	22
Long-range dependence and heavy tail characteristics for remaining useful life prediction in rolling bearing degradation	21
Comparison of low Reynolds number turbulence and conjugate heat transfer modelling for pin-fin roughness elements	21
Three-dimensional topology optimization of a fluid–structure system using body-fitted mesh adaption based on the level-set method	21
Thermal analysis of a perforated laminated plate with multiple random elliptical holes by specially formulated finite elements	21
A novel robust fuzzy mean-UPM model for green closed-loop supply chain network design under distribution ambiguity	21
Synchronization analysis of the anti-resonance system with three exciters	21
Transient thermal response with nonlocal radiation of a blast furnace main trough	21
Ultra-wide low-frequency band gap in locally-resonant plates with tunable inerter-based resonators	21
An efficient algorithm based on Broyden's and generalized-α method for large scale flexible multi-body systems	21
Vibration suppression of a platform by a fractional type electromagnetic damper and inerter-based nonlinear energy sink	21
Torsional vibration suppression for a high-damped rotor using dynamic vibration absorber based on weighted dual estimation of equivalent linearization techniques	21
On the coupled thermo-hydro-mechanical behaviors of layered porous media by the transformed differential quadrature method	21
Multi-objective crashworthiness optimization of energy-absorbing box with gradient lattice structure	21
An inextensible model for the robotic manipulation of textiles	21
Dynamic analysis of composite rod fastening rotor system considering multiple parameter influence	21
The stiffness characteristics analysis of the duplex angular contact ball bearings based on a comprehensive multi-degree-of-freedom mathematical model	21
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	21
Cross-coupling relative dynamics for on-orbit assembly in rotating frame of reference	21
Finite-time stability of dynamical system under event-triggered hybrid control	21
Analytical solution for the response of lined trapezoidal canals under soil frost action	21
A semianalytical Hertzian frictional contact model in 2D	20
Guided regularization and its application for image restoration	20
2D Green’s function of orthotropic two-coating-substrate under a normal line force	20
Coupled two-dimensional model for heavily sediment-laden floods and channel deformation in a braided reach of the Lower Yellow River	20