Differential Quadrature and Differential Quadrature Based Element Methods

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.

Autorentext
Professor at Nanjing University of Aeronautics and Astronautics in China since 1993, Dr. Wang earned his MS degree in solid mechanics from the same university, and his PhD in mechanical engineering from the University of Oklahoma, USA. Prof. Wang has been a visiting scholar at the University of Michigan at Dearborn, the University of Maryland at Baltimore County, the University of Oklahoma and the University of California at Los Angeles. He has published over 200 papers in the areas of numerical methods and computational engineering, mechanics of composite materials and experimental finite plasticity, with over 50 of these related to the differential quadrature method.

Zusammenfassung

"...explores the applications of the differential quadrature method (DQM) to problems of structural mechanics, including static stress analysis, buckling analysis and vibration and dynamic analysis. Linear, geometrically nonlinear, and material nonlinear problems are involved." --Zentralblatt MATH

Inhalt
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