Differential Quadrature and Differential Quadrature Based Element Methods Theory and Applications
Auteur : Wang Xinwei
Differential Quadrature and Differential Quadrature Based Element Methods: Theory and Applications is a comprehensive guide to these methods and their various applications in recent years. Due to the attractive features of rapid convergence, high accuracy, and computational efficiency, the differential quadrature method and its based element methods are increasingly being used to study problems in the area of structural mechanics, such as static, buckling and vibration problems of composite structures and functional material structures.
This book covers new developments and their applications in detail, with accompanying FORTRAN and MATLAB programs to help you overcome difficult programming challenges. It summarises the variety of different quadrature formulations that can be found by varying the degree of polynomials, the treatment of boundary conditions and employing regular or irregular grid points, to help you choose the correct method for solving practical problems.
Structural engineers, computational engineers, practicing engineers, graduate students majoring in engineering, researchers in transport processes, fluid mechanics, static and dynamic structural mechanics, static aero-elasticity, and lubrication mechanics.
- Offers a clear explanation of both the theory and many applications of DQM to structural analyses
- Discusses and illustrates reliable ways to apply multiple boundary conditions and develop reliable grid distributions
- Supported by FORTRAN and MATLAB programs, including subroutines to compute grid distributions and weighting coefficients
Date de parution : 03-2015
Ouvrage de 408 p.
19x23.3 cm
Thèmes de Differential Quadrature and Differential Quadrature... :
Mots-clés :
Airy stress function; anisotropic material; assemblage; beam; buckling; combined loads; contact stress history; cylinder-in-cylinder; δ approach; differential quadrature; differential quadrature element method; differential quadrature method; Dirac-delta function; direct iteration; DQ-based numerical integration; DQ-based time integration; dynamic response; edge compression; eigenvalue; elastoplastic buckling; equation replaced approach; equivalent boundary conditions; equivalent load; explicit formulas; explicit formulas; discrete error; frame structure; free vibration; frequency; Gauss integration; geometric nonlinear analysis; GLL nodes; grid spacing; harmonic differential quadrature; HDQM; Hermite interpolation; higher-order partial differential equation; grid; in-plane stress analysis; isotropic material; LaDQM; Lagrange interpolation; linear; method of modification of weighting coefficient (MMWC); modified DQM; multiple boundary conditions; Newton-Raphson method; nonlinear; nonuniform distributed load; plane stress; post-buckling; quadrature bar element; quadrature beam elements; quadrature element method; quadrature plate elements; quadrature thin plate elements; Ramberg-Osgood; rectangular plate; shape functions; skew plate; static analysis; thin and thick plates; thin plates; thin shallow shell; virtual boundary point; weak form; weighting coefficients; work equivalent load
