Applied Mathematical Modelling

Article	Citations
Nonlinear IGABEM formulations for the mechanical modelling of 3D reinforced structures	189
A generalized objective function based on weight coefficient for topology-finding of tensegrity structures	128
Balanced truncation for reduced‐order modeling of Piezoelectric Tonpilz Transducer on the limited frequency interval	103
Enrichment of three-dimensional numerical manifold method with cover-based contact theory for static and dynamic mechanical response analysis	99
Modeling of Multi-stepped Rotor-bearing Systems by the Continuous Segment Method	95
Analytical solution for arbitrary large deflection of geometrically exact beams using the homotopy analysis method	91
Characteristic analyzes, experimental testing and control for attitude system of QUAV under disturbance	86
Koopman operator-based driver-vehicle dynamic model for shared control systems	82
Alternating direction method of multipliers for nonconvex log total variation image restoration	82
Identification of near-fault multi-pulse ground motion	76
A novel devaney chaotic map with uniform trajectory for color image encryption	75
Methods to introduce floating bridge motion and wind excitation on a model for the investigation of heavy vehicle dynamics	73
Mathematical modelling for shield tunneling induced displacement effects on in-service tunnel: theoretical solution including shearing deformation of segment and stiffness reduction of circumferential	73
A high-performance displacement prediction model of concrete dams integrating signal processing and multiple machine learning techniques	70
Periodic traveling waves in a taut cable on a bilinear elastic substrate	69
Simplified matching pursuits applied to 3D nuclear reactor temperature distribution construction	69
Generalized semi-analytical solution for coupled multispecies advection-dispersion equations in multilayer porous media	67
A novel clustering approach based on grey possibility functions for multidimensional systems	66
A finite deformation phase field model for electromechanical fracture of flexible piezoelectric materials	66
Micro-combustion modelling with RBF-FD: A high-order meshfree method for reactive flows in complex geometries	64
An analytical approximate solution for stress and displacement around a shallow circular tunnel excavated under concave slope topography	63
Variational iteration and successive approximation methods for a SIR epidemic model with constant vaccination strategy	61
A continuum-discrete multiscale coupling method for pristine and defected single-walled carbon nanotubes	61
Disturbance rejection and robust tracking control design for turbofan systems	59
A new active-learning function for adaptive Polynomial-Chaos Kriging probability density evolution method	57

Modified shallow water model for viscous fluids and positivity preserving numerical approximation	57
Applications of the multi-sigmoidal deterministic and stochastic logistic models for plant dynamics	57
An interval feature discrete grey-Markov model based on data distributions and applications	56
Nonlinear parabolic double phase variable exponent systems with applications in image noise removal	56
Motion control of the spherical robot rolling on a vibrating plane	55
Numerical investigation of particle deflection in tilted-angle standing surface acoustic wave microfluidic devices	55
A new homotopy approach for stochastic static model updating with large uncertain measurement errors	53
An efficient algorithm based on Broyden's and generalized-α method for large scale flexible multi-body systems	53
Effects of intraguild prey dispersal driven by intraguild predator-avoidance on species coexistence	52
Controlling the natural convection of a non-Newtonian fluid using a flexible fin	52
Anti-plane dynamics of right-angle rare earth giant magnetostrictive medium with cylindrical conducting inclusion	52
Calibration of a radiation quality model for sparse and uncertain data	52
Mathematical modelling of Love waves propagation in viscoelastic waveguide loaded with complex fluids	52
Cylindrical indentation in micropolar elasticity	52
Natural frequency analysis of shells of revolution based on hybrid dual-mixed hp<	51
Love-type wave propagation in a coated fluid-saturated fractured poro-viscoelastic layer with sliding contacts and point source effect	51
Mathematical analysis of a multiscale hepatitis C virus infection model with two viral strains	50
Benchmark solutions for the material length scale effect in flexoelectric nanobeam using a couple stress theory	50
Modeling dependent series systems with q-Weibull distribution and Clayton copula	49
An analytical framework for local and global system kinematic reliability sensitivity of robotic manipulators	48
Goal programming model applied to waste paper logistics processes	47
Analytical solution for the response of lined trapezoidal canals under soil frost action	47
A doubly sparse and low-patch-rank prior model for image restoration	47
Comparison of low Reynolds number turbulence and conjugate heat transfer modelling for pin-fin roughness elements	47
Dynamic modeling of cooperative manipulators with frictional contact at the end effectors	46
Closed-loop online harmonic vibration estimation in DC electric motor systems	46
On use of train-track-subgrade dynamic model for investigating the train-induced cumulative deformation of subgrade and its dynamic effects	45
Adaptive and reversed penalty for analysis of high-dimensional correlated data	45
Fractional model for the spread of COVID-19 subject to government intervention and public perception	45
Neutron optics: New algorithm based on Green's functions for simulating waveguides with Dirichlet boundary conditions	44
Statistical analysis of adaptive type-II progressively censored competing risks for Weibull models	44
A Laplace asymptotic integral-based reliability analysis method combined with artificial neural network	44
Semi-analytical model of vehicle-pavement-continuous beam bridge coupled system	44
Weakened fractional-order accumulation operator for ill-conditioned discrete grey system models	44
Simulation of the nonplanar three-dimensional thermal cracking using the finite element-meshfree method	43
A new method for estimating the bending stiffness curve of non-uniform Euler-Bernoulli beams using static deflection data	43
Saturated impulsive control for delayed nonlinear complex dynamical networks on time scales	42
Simulation of singularity in the potential problem with semi-analytical elements	42
Analytical model for damping behaviour of an orthotropic cantilever hollow member with polygonal perforations	42
Applications of Randers geodesics for wildfire spread modelling	41
Nonconvex Rician noise removal via convergent plug-and-play framework	41
Asymptotic dynamics and optimal treatment for a model of tumour resistance to chemotherapy	40
Editorial Board	40
Advanced Reference-Constrained Image Restoration Algorithm	40
Weak-form differential quadrature element analysis of plate on a tensionless and frictional foundation using a higher-order kinematics	39
Impact of surface hydrophobicity and ion steric effects on the electroosmotic flow and ion selectivity of a conical nanopore	39
Three-dimensional exact solutions of double-coated structure with arbitrary thickness under normal point load	39
An interval spline finite point method for size-dependent mechanical behaviors of defective functionally graded material nanobeam	39
Wave interaction with an elliptic disc submerged in a two-layer fluid	39
SOC-reactivity analysis for a newly defined class of two-dimensional soil organic carbon dynamics	39

Editorial Board	39
Pore-scale simulation of salt fingers in porous media using a coupled iterative source-correction immersed boundary-lattice Boltzmann solver	38
Transient thermal response with nonlocal radiation of a blast furnace main trough	37
Editorial Board	37
Production decision making considering dual material types and setup time uncertainty	37
Studying the role of random translocation of GLUT4 in cardiomyocytes on calcium oscillations	37
2D Green’s function of orthotropic two-coating-substrate under a normal line force	37
Scheduling with a processing time oracle	37
A dynamic multiscale model of cerebral blood flow and autoregulation in the microvasculature	37
Formation tracking of multi-robot systems with switching directed topologies based on Udwadia-Kalaba approach	36
Shape of a single inclusion enclosing uniform stress for a non-uniform far-field loading in anti-plane shear	36
An inextensible model for the robotic manipulation of textiles	36
Image trinarization using a partial differential equation: A novel approach to automatic sperm image analysis	36
On the coupled thermo-hydro-mechanical behaviors of layered porous media by the transformed differential quadrature method	36
Heating and evaporation of a mono-component spheroidal droplet with non-uniform surface temperature	36
A face-centred finite volume approach for coupled transport phenomena and fluid flow	35
Dynamical behavior and optimal control of a vector-borne diseases model on bipartite networks	35
Comments on “New approximations for solving the Caputo-type fractional partial differential equations”	35
An integrated mathematical method for traffic analysis of elevator systems	35
A partially periodic oscillation model combined with heterogeneous autoregression and its application to COVID-19	35
Novel Girsanov correction based Milstein schemes for analysis of nonlinear multi-dimensional stochastic dynamical systems	35
Joint energy capacity and production planning optimization in flow-shop systems	35
A novel maximum volume sampling model for reliability analysis	35
The practical calculation method of the high-order moment spectra of quadratic Gaussian stochastic processes	35
A new solver for incompressible non-isothermal flows in natural and mixed convection over unstructured grids	34
A novel particle filtering for nonlinear systems with multi-step randomly delayed measurements	34
Stability analysis of energy dissipation mechanisms in rocks surrounding circular opening	34
Existence of solution and uniform decay for a contact problem in laminated beam	34
Case-wise investigation of body-wave propagation in a cross-anisotropic soil with multiple inhomogeneity coefficients	33
Influence of various balls and groove curvature radii on dynamic stiffness of ball bearings based on nonlinear dynamic model	33
Localized nonlinear solution strategies for efficient simulation of unconventional reservoirs	33
A new approach for dynamic crack propagation modeling based on meshless Galerkin method and visibility based criterion	33
Novel perturbation solutions for deep-buried non-circular tunnels under biaxial in situ stress field based on Mohr-Coulomb criterion	33
Galloping analysis of the main cable in construction: An advanced nonlinear scheme	32
On Boussinesq and Coriolis coefficients and their derivatives in transient pipe flows	32
Applications of an improved Dixon elimination method for the inverse kinematics of 6R manipulators	32
An adaptive time stepping algorithm for IMPES with high order polynomial extrapolation	32
Robot manipulator tracking control with conquering joint physical limits at angle and velocity layers based on different-layer equivalency technique	32
Collaborative optimization of vehicle scheduling and speed regulation for autonomous customized bus systems	31
Non-Euclidean model for description of residual stresses in planar deformations	31
A continuum electro-mechanical model of ultrasonic Langevin transducers to study its frequency response	31
A novel collision model for inextensible textiles and its experimental validation	31
3D mechanical analysis of a self-contractile cell with stress fibers reorganization	30
Dynamic response of saturated multilayered soils with elastic superstrata subjected to vertical impulsive loadings	30
Multi-mode response spectrum for multi-harmonic crowd jumping loads	30
Semi-decoupled first-order correction for smoothed particle hydrodynamics	30
Editorial Board	29
Computationally efficient higher-order three-scale method for nonlocal gradient elasticity problems of heterogeneous structures with multiple spatial scales	29
Friction-induced planar vibration of two rigid plates	28
Algorithm for controlling an inertioid robot with a flywheel and an unbalance in conditions of restrictions on the angular acceleration of the unbalance	28
A patient-specific model of reactive air pollutant uptake in proximal airways of the lung: Effect of tracheal deviation	28
Analysis of bending deformation considering shear effect in graphene nanoribbons coated with nano-film	28
Numerical analysis of fractional viscoelastic column based on shifted Chebyshev wavelet function	28
Dynamic optimization for coordinated replenishment system considering seasonal demand and price quantity discount	28
A bed pressure correction of the friction term for depth-averaged granular flow models	28
Algorithm for rapidly predicting the worst surface accuracy of deployable mesh reflectors	28
New forms of the fundamental solutions for 3D magnetoelectroelasticity equations	28
A minimal model of glucose-stimulated insulin secretion process explores factors responsible for the development of type 2 diabetes	28
Influence of temperature on the elastic properties of graphene and graphene-like nanosheets based on the asymptotic homogenization method	28
Tracking performance of the coaxial counter-paddle flight system using fractional active disturbance rejection controller	27
Multi-seasonal modelling of the African maize stalk borer with assessment of crop residue management	27
Editorial Board	27
Derivation of a quasi-linear second-order elliptic-parabolic model for the efficiency of silicon solar cells	27
Cross-coupling relative dynamics for on-orbit assembly in rotating frame of reference	27
Disturbance inspired equilibrium optimizer with application to constrained engineering design problems	27
Considering pickers’ learning effects in selecting between batch picking and batch-synchronized zone picking for online-to-offline groceries	27
Simplified hydrodynamic-wave particle method for the multiscale rarefied flow	27
Unified inverse isogeometric analysis and distributed fiber optic strain sensing for monitoring structure deformation and stress	27
The surface effects on solid and hollow nanowires under diametral loading	26
Editorial Board	26
Fractional order thermo-viscoelastic theory of biological tissue with dual phase lag heat conduction model	26
Outbreak or extinction of bovine cysticercosis and human taeniasis: A Stochastic modelling approach	26
Effects of cell orientation on drug delivery into biological tissues: A computational study	26
Modal characteristics of sagged-cable-crosstie systems. Part 1: Modeling and validation	26
Concurrent topology optimization design for CNT orientation and CNTRC layout	26
Conservative second-order accurate finite-difference scheme for the coupled Maxwell-Dirac equations	26
A pseudo-equilibrium finite element for limit analysis of Reissner-Mindlin plates	26
Scale-free dynamics of COVID-19 in a Brazilian city	26
Thermomechanical vibration and buckling response of magneto-electro-elastic higher order laminated nanoplates	26
Scaled boundary perfectly matched layer for wave propagation in a three-dimensional poroelastic medium	25

Diffusion in multi-dimensional solids using Forman’s combinatorial differential forms	25
On interactive fuzzy solutions for mechanical vibration problems	25
A hierarchical control scheme for multiple aerial vehicle transportation systems with uncertainties and state/input constraints	25
A fractional order age-specific smoke epidemic model	25
Long-range dependence and heavy tail characteristics for remaining useful life prediction in rolling bearing degradation	25
An elastic-plastic model for frozen soil from micro to macro scale	25
Equivalent micropolar model for porous guided bone regeneration mesh: Optimum design for desired mechanical properties	25
Coupled two-dimensional model for heavily sediment-laden floods and channel deformation in a braided reach of the Lower Yellow River	25
The optimal design of dynamic systems with negative stiffness inertial amplifier tuned mass dampers	25
A hybrid analytical method for predicting vibrations in vacuum and water of the sandwich plate with z-direction reinforcements and cavities	25
Analytical method for mechanical analysis of multiple shallow tunnels with concrete linings	24
Modeling a turbulent multicomponent fluid with variable density using a two-fluid approach	24
Analytical solutions for joints in an infinite Euler-Bernoulli beam on a viscoelastic foundation subjected to time-lag loads	24
Optimal price and quality decisions of a supply chain game considering imperfect quality items and market segmentation	24
Grain-based morphological simulation via fractal theory with experimental verification and corresponding optical properties in laser melting deposition additive manufacturing: A demystified approach	24
Semi-analytic modeling and experimental verification of arbitrary aero-engine complex spatial pipeline	24
A semi-analytical time-domain model with explicit fluid force expressions for fluidelastic vibration of a tube array in crossflow	24
Mathematical modelling of Banana Black Sigatoka Disease with delay and Seasonality	24
The stiffness characteristics analysis of the duplex angular contact ball bearings based on a comprehensive multi-degree-of-freedom mathematical model	24
Enhancing wildfire propagation model predictions using aerial swarm-based real-time wind measurements: A conceptual framework	24
Design of a multifunctional elastic wave metamaterial for detecting or hiding objects	24
Generalized hierarchical expected improvement method based on black-box functions of adaptive search strategy	23
Effect of elastic restraints in the modeling of prestressed piezoelectric energy harvesters	23
Credit-dependent demand in a vendor-buyer model with a two-level delay-in-payments contract under a consignment-stock policy agreement	23
Torsional vibration suppression for a high-damped rotor using dynamic vibration absorber based on weighted dual estimation of equivalent linearization techniques	23
Study on the effect of interface failure between casing and cement sheath on casing stress under non-uniform in-situ stress	23
Influences of crack-face electric boundary conditions on stress intensity factors of ferroelectric single crystals	23
Mathematical model of turbulent heat transfer based on the dynamics of two fluids	23
Design, modelling, implementation, and trajectory planning of a 3-DOF cable driven parallel robot	23
Probabilistic and cost analyses of a renewable warranty with an inspection policy for a discrete operating item from a heterogeneous population	23
Eulerian–Lagrangian modeling of spray G atomization with focus on vortex evolution and its interaction with cavitation	23
Heart rhythm analysis using a nonlinear dynamics perspective	23
A heuristic approach for scheduling advanced air mobility aircraft at vertiports	23
Analysis of one-shot device testing data under logistic-exponential lifetime distribution with an application to SEER gallbladder cancer data	23
Vibration and wave propagation in functionally graded beams with inclined cracks	22
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	22
Free vibration of the one-dimensional piezoelectric quasicrystal microbeams based on modified couple stress theory	22
An adapted two-step approach to simulate nonlinear vibrations of patterned tires rolling on a smooth surface	22
Evidence-based uncertainty quantification for bending properties of bimetal composites	22
Flavoring search algorithm with applications to engineering optimization problems and robot path planning	22
Optimal control for transboundary pollution under inter-temporal transfer of emission permits: A differential game approach	22
Forced vibration of two-degrees-of-freedom machine tool feed system with clearance and friction	22
An efficient imperialist competitive algorithm with likelihood assimilation for topology, shape and sizing optimization of truss structures	22
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	22
A novel multi-scale modeling strategy based on variational asymptotic method for predicting the static and dynamic performance of composite sandwich structures	22
The applicability of Zermelo's equation to indirect and direct optimization of commercial aircraft flights	22
A two-stage multi-damage detection approach for composite structures using MKECR-Tikhonov regularization iterative method and model updating procedure	22
Dynamic stability of bio-inspired biped robots for lateral jumping in rugged terrain	22
A novel robust fuzzy mean-UPM model for green closed-loop supply chain network design under distribution ambiguity	22
A two-relaxation-time lattice Boltzmann study on the Soret and Dufour effects of double-diffusive convection over a rough surface	22
Nonlinear analysis of thermal-mechanical coupling bending of FGP infinite length cylindrical panels based on PNS and NSGT	22
A novel fuzzy algorithm for assembly precision management	22
Reliability and maintenance of systems subject to Gamma degradation and shocks in dynamic environments	22
Analysis and verification of cable pretension effect on the buckling load of a single-link flexible mechanism	22
A novel hybrid adaptive scheme for Kriging-based reliability estimation – A comparative study	22
Stochastic nonlinear model updating in structural dynamics using a novel likelihood function within the Bayesian-MCMC framework	21
Editorial Board	21
Fault diagnosis based on incomplete sensor variables with a hierarchical semi-supervised Gaussian mixture classifier	21
A novel generalized odd log-logistic Maxwell-based regression with application to microbiology	21
Analytical study of Bragg resonances by a finite periodic array of congruent trapezoidal bars or trenches on a sloping seabed	21
Modelling of critical speed of railway tracks on a multi-layered transversely isotropic saturated ground	21
A direct method for the simultaneous characterization of thermal diffusivities of a bi-layer material consisting of a thin coating deposited on a substrate	21
Accurate buckling analysis of magneto-electro-elastic cylindrical shells subject to hygro-thermal environments	21
Finite element simulations of the thermomechanically coupled responses of thermal barrier coating systems using an unconditionally stable staggered approach	21
Stochastic analysis of an acoustic black hole piezoelectric energy harvester under Gaussian white noise excitation	21
Guided regularization and its application for image restoration	21
Effects of electronic throttle dynamics in non-equilibrium heterogeneous traffic flow without lane discipline	21
Numerical investigation of noise suppression and amplification in forced oscillations of single and tandem cylinders in high Reynolds number turbulent flows	21
Tracing curvature paths on trimmed multipatch surfaces	21
Study on two-dimensional creep effects of RC slab structures	21
Analysis of the most probable exit path in the synthetic gene network with genetic toggle	21
Nonlinear analysis on electro-elastic coupling properties in bended piezoelectric semiconductor beams with variable cross section	21
Analysis of bifurcation and chaotic behavior for the flexspline of an electromagnetic harmonic drive system with movable teeth transmission	21
Analysis of layered rectangular plates under thermo-mechanical loads considering temperature-dependent material properties	21
Optimization model for low-carbon supply chain considering multi-level backup strategy under hybrid uncertainty	21
Fast multi-feature image segmentation	21
Application of state-space model with skew-t measurement noise to blood test value prediction	21
Designing compact, connected and gap-free reserves with systematic reserve site selection models	20
Nonlinear model for the dynamic analysis of a time-dependent vehicle-cableway bridge system	20
Image compression-hiding algorithm based on compressive sensing and integer wavelet transformation	20
Ultra-wide low-frequency band gap in locally-resonant plates with tunable inerter-based resonators	20
Theoretical, numerical and experimental studies on double-frequency synchronization of three exciters in dynamic vibration absorption system	20
Analysis of the band structure of transient in-plane elastic waves based on the localized radial basis function collocation method	20
Path integration solutions for stochastic systems with Markovian jumps	20
Primal-dual hybrid gradient image denoising algorithm based on overlapping group sparsity and fractional-order total variation	20
Local and global sensitivity analysis of spheroid and xenograft models of the acid-mediated development of tumor malignancy	20
Synchronization analysis of the anti-resonance system with three exciters	20
Threshold dynamics in a clonorchiasis model with time delays	20
An interactive grey multivariable model based on the dynamic accumulative driving effect and its application	20
Optimization of robot manipulator configuration calibration by using Zhang neural network for repetitive motion	20
New spatial decomposition method for accurate, mesh-independent agglomeration predictions in particle-laden flows	20
On the electromechanical bandgap of microscale vibration isolation metamaterial beams with flexoelectric effect	20
Dynamic behavior of stochastic prostate cancer system with comprehensive therapy under regime switching	20
Parametric amplification performance analysis of a vibrating beam micro-gyroscope with size-dependent and fringing field effects	20
State transition-based novel dynamic control algorithm for vehicle-following performance improvement	20