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Vibration Analysis and Structural Dynamics for Civil Engineers - Essentials and Group-Theoretic Formulations (Paperback)
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Vibration Analysis and Structural Dynamics for Civil Engineers - Essentials and Group-Theoretic Formulations (Paperback)
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Appeals to the Student and the Seasoned Professional While the
analysis of a civil-engineering structure typically seeks to
quantify static effects (stresses and strains), there are some
aspects that require considerations of vibration and dynamic
behavior. Vibration Analysis and Structural Dynamics for Civil
Engineers: Essentials and Group-Theoretic Formulations is relevant
to instances that involve significant time-varying effects,
including impact and sudden movement. It explains the basic theory
to undergraduate and graduate students taking courses on vibration
and dynamics, and also presents an original approach for the
vibration analysis of symmetric systems, for both researchers and
practicing engineers. Divided into two parts, it first covers the
fundamentals of the vibration of engineering systems, and later
addresses how symmetry affects vibration behavior. Part I treats
the modeling of discrete single and multi-degree-of-freedom
systems, as well as mathematical formulations for continuous
systems, both analytical and numerical. It also features some
worked examples and tutorial problems. Part II introduces the
mathematical concepts of group theory and symmetry groups, and
applies these to the vibration of a diverse range of problems in
structural mechanics. It reveals the computational benefits of the
group-theoretic approach, and sheds new insights on complex
vibration phenomena. The book consists of 11 chapters with topics
that include: The vibration of discrete systems or lumped parameter
models The free and forced response of single degree-of-freedom
systems The vibration of systems with multiple degrees of freedom
The vibration of continuous systems (strings, rods and beams) The
essentials of finite-element vibration modelling Symmetry
considerations and an outline of group and representation theories
Applications of group theory to the vibration of linear mechanical
systems Applications of group theory to the vibration of structural
grids and cable nets Group-theoretic finite-element and
finite-difference formulations Vibration Analysis and Structural
Dynamics for Civil Engineers: Essentials and Group-Theoretic
Formulations acquaints students with the fundamentals of vibration
theory, informs experienced structural practitioners on simple and
effective techniques for vibration modelling, and provides
researchers with new directions for the development of
computational vibration procedures.
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