Finite Elements for Truss and Frame Structures
An Introduction Based on the Computer Algebra System Maxima
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Beschreibung
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.
Offers routines for symbolically or numerically solving plane truss and frame problems Allows readers to check classical ‘hand calculations’ Focuses on the methodology of the finite element method
Autor*in
Andreas Öchsner
Themen in »Finite Elements for Truss and Frame Structures«
Finite element numerical methods one-dimensional elements Maxima Euler-Bernoulli Beams Timoshenko Beams Finite element method computer algebra system