Finite Elements for Truss and Frame Structures : An Introduction Based on the Computer Algebra System Maxima (Springerbriefs in Computational Mechanics)

Öchsner, Andreas/ Makvandi, Resam

Springer International Publishing AG（2018/07発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 119 p.
• 言語 ENG
• 商品コード 9783319949406

Full Description

This book is intended as an essential study aid for the finite element method. Based on the free computer algebra system Maxima, the authors offer routines for symbolically or numerically solving problems in the context of plane truss and frame structures, allowing readers to check classical 'hand calculations' on the one hand and to understand the computer implementation of the method on the other. The mechanical theories focus on the classical one-dimensional structural elements, i.e. bars, Euler-Bernoulli and Timoshenko beams, and their combination to generalized beam elements. Focusing on one-dimensional elements reduces the complexity of the mathematical framework, and the resulting matrix equations can be displayed with all components and not merely in the form of a symbolic representation. In addition, the use of a computer algebra system and the incorporated functions, e.g. for equation solving, allows readers to focus more on the methodology of the finite element method andnot on standard procedures. 

Contents

Introduction.- Maxima - A Computer Algebra System.- Rods and Trusses.- Euler-Bernoulli Beams and Frames.- Timoshenko Beams and Frames.- Maxima Source Codes.