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Full Description
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.
Contents
1: DIFFERENTIAL QUADRATURE METHOD2: DIFFERENTIAL QUADRATURE ELEMENT METHOD3: METHODS OF APPLYING BOUNDARY CONDITIONS4: QUADRATURE ELEMENT METHOD5: IN-PLANE STRESS ANALYSIS6: STATIC ANALYSIS OF THIN PLATE7: LINEAR BUCKLING ANALYSIS OF THIN PLATE8: FREE VIBRATION ANALYSIS OF THIN PLATE9: GEOMETRIC NONLINEAR ANALYSIS10: ELASTOPLASTIC BUCKLING ANALYSIS OF PLATE11: STRUCTURAL ANALYSIS BY THE QEM
