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Vibrations and Stability of Complex Beam Systems (Hardcover, 2015 ed.)
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Vibrations and Stability of Complex Beam Systems (Hardcover, 2015 ed.)
Series: Springer Tracts in Mechanical Engineering
Expected to ship within 12 - 17 working days
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This book reports on solved problems concerning vibrations and
stability of complex beam systems. The complexity of a system is
considered from two points of view: the complexity originating from
the nature of the structure, in the case of two or more elastically
connected beams; and the complexity derived from the dynamic
behavior of the system, in the case of a damaged single beam,
resulting from the harm done to its simple structure. Furthermore,
the book describes the analytical derivation of equations of two or
more elastically connected beams, using four different theories
(Euler, Rayleigh, Timoshenko and Reddy-Bickford). It also reports
on a new, improved p-version of the finite element method for
geometrically nonlinear vibrations. The new method provides more
accurate approximations of solutions, while also allowing us to
analyze geometrically nonlinear vibrations. The book describes the
appearance of longitudinal vibrations of damaged clamped-clamped
beams as a result of discontinuity (damage). It describes the cases
of stability in detail, employing all four theories, and provides
the readers with practical examples of stochastic stability.
Overall, the book succeeds in collecting in one place theoretical
analyses, mathematical modeling and validation approaches based on
various methods, thus providing the readers with a comprehensive
toolkit for performing vibration analysis on complex beam systems.
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