1.

Record Nr.

UNINA9910337606703321

Autore

Öchsner Andreas

Titolo

Finite Elements Using Maxima : Theory and Routines for Rods and Beams / / by Andreas Öchsner, Resam Makvandi

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019

ISBN

3-030-17199-X

Edizione

[1st ed. 2019.]

Descrizione fisica

1 online resource (263 pages)

Disciplina

620.00151535

518.25

Soggetti

Mechanics, Applied

Solids

Numerical analysis

Mathematics - Data processing

Solid Mechanics

Numerical Analysis

Computational Science and Engineering

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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

Sommario/riassunto

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.