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Numerical Engineering Optimization - Application of the Computer Algebra System Maxima (Paperback, 1st ed. 2020)
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Numerical Engineering Optimization - Application of the Computer Algebra System Maxima (Paperback, 1st ed. 2020)
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This study aid on numerical optimization techniques is intended for
university undergraduate and postgraduate mechanical engineering
students. Optimization procedures are becoming more and more
important for lightweight design, where weight reduction can, for
example in the case of automotive or aerospace industry, lead to
lower fuel consumption and a corresponding reduction in operational
costs as well as beneficial effects on the environment. Based on
the free computer algebra system Maxima, the authors present
procedures for numerically solving problems in engineering
mathematics as well as applications taken from traditional courses
on the strength of materials. The mechanical theories focus on the
typical one-dimensional structural elements, i.e., springs, bars,
and Euler-Bernoulli beams, in order to reduce the complexity of the
numerical framework and limit the resulting design to a low number
of variables. The use of a computer algebra system and the
incorporated functions, e.g., for derivatives or equation solving,
allows a greater focus on the methodology of the optimization
methods and not on standard procedures. The book also provides
numerous examples, including some that can be solved using a
graphical approach to help readers gain a better understanding of
the computer implementation.
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