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Set-Valued Force Laws - Dynamics of Non-Smooth Systems (Hardcover, 2001 ed.)
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Set-Valued Force Laws - Dynamics of Non-Smooth Systems (Hardcover, 2001 ed.)
Series: Lecture Notes in Applied and Computational Mechanics, 1
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As one of the oldest natural sciences, mechanics occupies a certain
pioneering role in determining the development of exact sciences
through its interaction with mathematics. As a matter of fact,
there is hardly an area in mathematics that hasn't found an
application of some form in mechanics. It is thus almost inevitable
that theoretical methods in mechanics are highly developed and laid
out on different levels of abstraction. With the spread of digital
processors this goes as far as the implementation in commercial
computer codes, where the user is merely con fronted on the surface
with the processes that run in the background, i. e. mechan ics as
such: in teaching and research, as well as in the context of
industry, me chanics is much more, and must remain much more than
the mere production of data with the help of a processor.
Mechanics, as it is talked about here, tradition ally includes a
wide spectrum, ranging from applied mechanics, analytical and
technical mechanics to modeling. and experimental mechanics, as
well as technical realization. It also includes the subdisciplines
of rigid body mechanics, continuum mechanics, or fluid mechanics,
to mention only a few. One of the fundamental and most important
concepts used by nearly all natural sciences is the concept of
linearization, which assumes the differentiability of mappings. As
a matter of fact, all of classical mechanics is based on the avail
ability of this quality."
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