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Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids > Dynamics & vibration
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Advanced Vibration Analysis (Hardcover)
Loot Price: R5,402
Discovery Miles 54 020
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Advanced Vibration Analysis (Hardcover)
Expected to ship within 10 - 15 working days
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Delineating a comprehensive theory, Advanced Vibration Analysis
provides the bedrock for building a general mathematical framework
for the analysis of a model of a physical system undergoing
vibration. The book illustrates how the physics of a problem is
used to develop a more specific framework for the analysis of that
problem. The author elucidates a general theory applicable to both
discrete and continuous systems and includes proofs of important
results, especially proofs that are themselves instructive for a
thorough understanding of the result. The book begins with a
discussion of the physics of dynamic systems comprised of
particles, rigid bodies, and deformable bodies and the physics and
mathematics for the analysis of a system with a
single-degree-of-freedom. It develops mathematical models using
energy methods and presents the mathematical foundation for the
framework. The author illustrates the development and analysis of
linear operators used in various problems and the formulation of
the differential equations governing the response of a conservative
linear system in terms of self-adjoint linear operators, the
inertia operator, and the stiffness operator. The author focuses on
the free response of linear conservative systems and the free
response of non-self-adjoint systems. He explores three method for
determining the forced response and approximate methods of solution
for continuous systems. The use of the mathematical foundation and
the application of the physics to build a framework for the
modeling and development of the response is emphasized throughout
the book. The presence of the framework becomes more important as
the complexity of the system increases. The textbuilds the
foundation, formalizes it, and uses it in a consistent fashion
including application to contemporary research using linear
vibrations.
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