Differential quadrature time element method for structural dynamics

DOI10.1007/s10409-012-0081-zzbMath1345.65053OpenAlexW2147690473MaRDI QIDQ315217

Yu-Feng Xing, Jing Guo

Publication date: 19 September 2016

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10409-012-0081-z

zbMATH Keywords

artificial dampingdifferential quadrature ruledirect integration methodphase errortime element

Mathematics Subject Classification ID

Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items

Electro-elasto-dynamic analysis of functionally graded cylindrical shell with piezoelectric rings using differential quadrature method

Uses Software

• Algorithm 432

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A coupled finite element-differential quadrature element method and its accuracy for moving load problem
• The differential quadrature method for irregular domains and application to plate vibration
• Differential quadrature for static and free vibration analyses of anisotropic plates
• A generalized approach for implementing general boundary conditions in the GDQ free vibration analysis of plates
• Stability and accuracy of differential quadrature method in solving dynamic problems
• A differential quadrature as a numerical method to solve differential equations
• Differential quadrature and longterm integration
• Solving initial value problems by differential quadrature method?part 1: first-order equations
• A variable order approach to improve differential quadrature accuracy in dynamic analysis
• THE GENERALIZED DIFFERENTIAL QUADRATURE RULE FOR INITIAL-VALUE DIFFERENTIAL EQUATIONS
• High-accuracy differential quadrature finite element method and its application to free vibrations of thin plate with curvilinear domain
• Time Finite Element Discretization of Hamilton's Law of Varying Action
• An alpha modification of Newmark's method
• Finite Elements for Initial Value Problems in Dynamics
• Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
• Finite-element analysis of time-dependent phenomena.
• Dual reciprocity BEM applied to transient elastodynamic problem with differential quadrature method in time.
• Numerical simulation of natural convection in a square cavity by SIMPLE-generalized differential quadrature method