A differential quadrature hierarchical finite element method and its applications to vibration and bending of Mindlin plates with curvilinear domains
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Publication:6565248
DOI10.1002/nme.5277zbMATH Open1548.6531MaRDI QIDQ6565248
Bo Liu, Huanxi Li, Liang Zhao, Cui-Yun Liu, Yu-Feng Xing, Chaoli Ma
Publication date: 1 July 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Mindlin platedifferential quadrature methodcurvilinear domainhierarchical finite element methoddynamic substructure method
Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Cites Work
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- Free vibration analysis of multiple-stepped beams by the differential quadrature element method
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- The p- and h-p versions of the finite element method. An overview
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- A weak form quadrature element method for plane elasticity problems
- Isogeometric analysis of structural vibrations
- The differential quadrature method for irregular domains and application to plate vibration
- Some recent developments in finite element analysis
- Domain decomposition preconditioning in the hierarchical \(p\)-version of the finite element method
- An investigation of the implementation of the p-version finite element method
- A straightforward structure to construct shape functions for variable \(p\)-order meshes
- A p-type solution for the bending of rectangular, circular, elliptic and skew plates
- An edge-based finite element method (ES-FEM) with adaptive scaled-bubble functions for plane strain limit analysis
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- High-accuracy plane stress and plate elements in the quadrature element method
- Weak form quadrature element method for accurate free vibration analysis of thin skew plates
- Exact characteristic equations for some of classical boundary conditions of vibrating moderately thick rectangular plates
- Stability and vibration of shear deformable plates -- first order and higher order analyses
- Differential quadrature and longterm integration
- Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
- NATURAL FREQUENCIES OF ORTHOTROPIC RECTANGULAR PLATES OBTAINED BY ITERATIVE REDUCTION OF THE PARTIAL DIFFERENTIAL EQUATION
- Construction of curvilinear co-ordinate systems and applications to mesh generation
- High-accuracy differential quadrature finite element method and its application to free vibrations of thin plate with curvilinear domain
- Hierarchic plate and shell models based onp-extension
- Two new approximate methods for analyzing free vibration of structural components
- The hierarchical concept in finite element analysis
- An engineering application of the h-p Version of the finite element method to the static analysis of a Euler-Bernoulli beam
- Vibration Of Thick Skew Plates Based On Mindlin Shear Deformation Plate Theory
- A fast method of numerical quadrature for p‐version finite element matrices
- Geometrically nonlinear vibration analysis of thin, rectangular plates using the hierarchical finite element method—I: The fundamental mode of isotropic plates
- Isogeometric Analysis
- Hierarchal triangular elements using orthogonal polynomials
- Blending-Function Methods of Bivariate and Multivariate Interpolation and Approximation
- Introduction to Finite Element Vibration Analysis
Related Items (2)
Nonlinear statics of three-dimensional curved geometrically exact beams by a hierarchal quadrature element method ⋮ New analytic free vibration solutions of L-shaped moderately thick plates by symplectic superposition
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