Finite Elements Using Maxima

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    Finite Elements Using Maxima
    Theory and Routines for Rods and Beams
    By: Andreas Öchsner; Resam Makvandi
    Publisher:
    Springer
    Print ISBN: 9783030171988, 3030171981
    eText ISBN: 9783030171995, 303017199X
    Copyright year: 2019
    Format: EPUB
    Available from $ 129.00 USD
    SKU 9783030171995
    This book provides a study aid on the finite element method. Based on the free computer algebra system “Maxima”, it presents routines to symbolically or numerically solve problems in the context of plane truss and frame structures. This allows readers to not only check classical “hand calculations” but also understand the computer implementation of the method. The mechanical theories focus on the classical one-dimensional structural elements, i.e. bars, Euler–Bernoulli and Timoshenko beams as well as their combination to generalized beam elements. Focusing on one-dimensional elements reduces the complexity of the mathematical framework and the resulting matrix equations can still be displayed with all components, and not only in a symbolic representation. The use of a computer algebra system and the incorporated functions, e.g. for equation solving, highlights the methodology of the finite element method rather than standard procedures. The book is based on the Springer Brief “Finite Elements for Truss and Frame Structures” (978-3-319-94940-6) by the same authors.
     

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