Advanced Vibration Analysis
Auteur : Kelly S. Graham
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 text builds the foundation, formalizes it, and uses it in a consistent fashion including application to contemporary research using linear vibrations.
Date de parution : 09-2019
15.2x22.9 cm
Date de parution : 12-2006
Ouvrage de 528 p.
15.2x22.9 cm
Thèmes d’Advanced Vibration Analysis :
Mots-clés :
Natural Frequencies; Normalized Mode Shapes; Steady State Amplitude; Mode Shapes; Rayleigh Ritz Method; Steady State Response; Arbitrary Instant; Euler Bernoulli Beam; Viscous Damping; NON-SELF ADJOINT OPERATORS; Lagrange’s Equations; Proportional Damping; Damping Ratio; Timoshenko Beam; Free Response; Principal Coordinates; Slender Bar; Torsional Oscillations; Transverse Oscillations; Modal Damping Ratio; Uniform Bar; Torsional Spring; Complex Vector Space; Expansion Theorem; Longitudinal Oscillations