Keywords: روش عددی متساوی; Multilayer structures; Sensitivity analysis; Solid-shell finite elements; Vibrations; Viscoelasticity; Asymptotic Numerical Method;
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Keywords: روش عددی متساوی; Method of fundamental solutions; Asymptotic numerical method; Nonlinear computation; Lagrangian formulation;
Keywords: روش عددی متساوی; Buckling; Post-buckling; Sandwich; Asymptotic Numerical Method; Bifurcation indicator;
Keywords: روش عددی متساوی; Fourier series; Film/substrate system; Wrinkling; Asymptotic numerical method;
Keywords: روش عددی متساوی; Fourier series; CUF; Film/substrate; Wrinkling; Asymptotic Numerical Method;
Keywords: روش عددی متساوی; Nonlinear eigenvalue problem; Asymptotic numerical method; Automatic differentiation; Homotopy; Visco-elastic Structures; Layer-wise optimization algorithm;
Keywords: روش عددی متساوی; Continuation; Bifurcation; Quasi-periodic solutions; Nonlinear systems; Harmonic Balance Method; Asymptotic numerical method; Quadratic formulation;
Keywords: روش عددی متساوی; Sandwich plate; Fourier series; Instability; Wrinkling; Asymptotic Numerical Method;
Keywords: روش عددی متساوی; Regularization technique; Asymptotic Numerical Method; Finite elements; Elastoplasticity; Step length
Keywords: روش عددی متساوی; Non-linear eigenvalue problem; Visco-elastic sandwich plates; Asymptotic numerical method; Non-linear eigensolvers;
Keywords: روش عددی متساوی; Thin-walled beam; Open section; Nonlinear dynamic; Finite element; Newmark scheme; Homotopy; Higher order; Asymptotic Numerical Method
Keywords: روش عددی متساوی; Nonlinear eigenvalue problem; Asymptotic numerical method; Automatic differentiation; Homotopy; Viscoelastic structures;
Keywords: روش عددی متساوی; Thin-walled beam; Open section; Arbitrary eccentric loads; Warping; Non-uniform torsion; Post-buckling; Finite elements; Asymptotic Numerical Method
Keywords: روش عددی متساوی; Asymptotic numerical method; Nonlinear homogenization; Multiscale finite element method; Long fiber composite; Microbuckling; Loss of ellipticity
Keywords: روش عددی متساوی; Postbuckling; Asymptotic numerical method; Residual stress; Flatness defect; Strip rolling
Keywords: روش عددی متساوی; Fourier series; Membrane; Instability; Wrinkling; Asymptotic Numerical Method
Keywords: روش عددی متساوی; 3D steady-state bifurcations; Path-following or continuation methods; Asymptotic Numerical Method; Power series analysis;
Keywords: روش عددی متساوی; Nonlinear normal mode; Piecewise linear system; Periodic orbit; Stability; Harmonic balance method; Asymptotic numerical method;
Keywords: روش عددی متساوی; Asymptotic numerical method; Homotopy transformation; Higher-order predictor; Ill-conditioned power flow; Multiple power flow solutions
Keywords: روش عددی متساوی; Carbon nanotube; Harmonic balance method; Asymptotic numerical method; Mass sensing; Nonlinear dynamics
Keywords: روش عددی متساوی; Nonlinear vibrations; Buckling; Von Karman plate; Asymptotic numerical method; Harmonic balance method; Finite-element method
A finite element/quaternion/asymptotic numerical method for the 3D simulation of flexible cables
Keywords: روش عددی متساوی; Cables; Finite element method; Asymptotic numerical method; Quaternions;
An asymptotic numerical method for continuation of spatial equilibria of special Cosserat rods
Keywords: روش عددی متساوی; Cosserat rods; Asymptotic numerical method; Elasticity; Buckling; Continuation;
Forced harmonic response of sandwich plates with viscoelastic core using reduced-order model
Keywords: روش عددی متساوی; Vibration; Viscoelastic sandwich plate; Finite element; Model reduction; Asymptotic numerical method; Automatic differentiation
Asymptotic numerical method for steady flow of power-law fluids
Keywords: روش عددی متساوی; Power-law fluids; Asymptotic Numerical Method; Bifurcation analysis
Computation of Hopf bifurcations coupling reduced order models and the asymptotic numerical method
Keywords: روش عددی متساوی; Hopf bifurcation points; Reduced order model; Asymptotic numerical method; Fluid mechanics
Power series analysis as a major breakthrough to improve the efficiency of Asymptotic Numerical Method in the vicinity of bifurcations
Keywords: روش عددی متساوی; Path-following; Continuation; Bifurcation; Power series analysis; Asymptotic Numerical Method
High order continuation algorithm and meshless procedures to solve nonlinear Poisson problems
Keywords: روش عددی متساوی; Asymptotic numerical method; Method of fundamental solutions; Method of particular solution; Analog equation method
Asymptotic numerical method for continuation power flow
Keywords: روش عددی متساوی; Asymptotic numerical method; Continuation power flow; Higher-order predictor; Adaptive step-length control;
Object-oriented design to automate a high order non-linear solver based on asymptotic numerical method
Keywords: روش عددی متساوی; Asymptotic numerical method; Object Oriented Programming; Non-linear solver; Generic programing; Automatic computation; C++
Perturbation technique and method of fundamental solution to solve nonlinear Poisson problems
Keywords: روش عددی متساوی; Perturbation technique; Method of Fundamental Solution; Asymptotic Numerical Method; Padé approximants
Assessment of various kinematic models for instability analysis of sandwich beams
Keywords: روش عددی متساوی; Finite element; Sandwich beam; Wrinkling; Buckling; Asymptotic numerical method;
A generic approach for the solution of nonlinear residual equations. Part III: Sensitivity computations
Keywords: روش عددی متساوی; Sensitivity analysis; Asymptotic numerical method; Automatic differentiation; Diamant; ADiMat; Laminated glasses
Solving fracture problems using an asymptotic numerical method
Keywords: روش عددی متساوی; Asymptotic numerical method; Rupture; Cohesive zone model; Fracture; Continuum damage mechanic
Computational and quasi-analytical models for non-linear vibrations of resonant MEMS and NEMS sensors
Keywords: روش عددی متساوی; MEMS; Resonator; Microbeam; Non-linear dynamics; Reduced-order model; Harmonic balance method; Asymptotic numerical method
Discussion about parameterization in the asymptotic numerical method: Application to nonlinear elastic shells
Keywords: روش عددی متساوی; Asymptotic numerical method; Continuation methods; Parameterization; Nonlinear elastic shells
A generic approach for the solution of nonlinear residual equations. Part II: Homotopy and complex nonlinear eigenvalue method
Keywords: روش عددی متساوی; Automatic Differentiation; Asymptotic Numerical Method; Homotopy; Complex eigenvalue problems; Sandwich structures; Viscoelastic laws
Nonlinear forced vibration of damped plates by an asymptotic numerical method
Keywords: روش عددی متساوی; Nonlinear vibration; Damping; Asymptotic numerical method; Harmonic balance; Padé approximants; Plates
A numerical method for nonlinear complex modes with application to active–passive damped sandwich structures
Keywords: روش عددی متساوی; Sandwich structures; Viscoelasticity; Piezoelectricity; Active; Passive; Hybrid; Finite element method; Vibrations; Nonlinear eigenvalues; Perturbation technique; Homotopy; Asymptotic numerical method
A novel finite element for global and local buckling analysis of sandwich beams
Keywords: روش عددی متساوی; Finite element; Sandwich; Wrinkling; Buckling; Asymptotic numerical method
A multilevel computational strategy for handling microscopic and macroscopic instabilities
Keywords: روش عددی متساوی; Asymptotic numerical method; Nonlinear homogenization; Multilevel finite element method; Instabilities; Buckling
A generic approach for the solution of nonlinear residual equations. Part I: The Diamant toolbox
Keywords: روش عددی متساوی; Asymptotic Numerical Method; Automatic Differentiation; Diamant; Laminated glass; Geometrical nonlinearities
A model reduction method for the post-buckling analysis of cellular microstructures
Keywords: روش عددی متساوی; Model reduction; Post-buckling analysis; Open cell foams; Cellular microstructures; Proper orthogonal decomposition; Asymptotic numerical method