Vibration of continuous systems

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Title:

Author:

Rao, Singiresu S., 1944- author.

ISBN:

9781119424253

9781119424277

9781119424284

Edition:

Second edition.

Physical Description:

1 online resource

Contents:

Cover; Title Page; Copyright; Contents; Preface; Acknowledgments; About the Author; Chapter 1 Introduction: Basic Concepts and Terminology; 1.1 Concept of Vibration; 1.2 Importance of Vibration; 1.3 Origins and Developments in Mechanics and Vibration; 1.4 History of Vibration of Continuous Systems; 1.5 Discrete and Continuous Systems; 1.6 Vibration Problems; 1.7 Vibration Analysis; 1.8 Excitations; 1.9 Harmonic Functions; 1.9.1 Representation of Harmonic Motion; 1.9.2 Definitions and Terminology; 1.10 Periodic Functions and Fourier Series; 1.11 Nonperiodic Functions and Fourier Integrals

1.12 Literature on Vibration of Continuous SystemsReferences; Problems; Chapter 2 Vibration of Discrete Systems: Brief Review; 2.1 Vibration of a Single-Degree-of-Freedom System; 2.1.1 Free Vibration; 2.1.2 Forced Vibration under Harmonic Force; 2.1.3 Forced Vibration under General Force; 2.2 Vibration of Multidegree-of-Freedom Systems; 2.2.1 Eigenvalue Problem; 2.2.2 Orthogonality of Modal Vectors; 2.2.3 Free Vibration Analysis of an Undamped System Using Modal Analysis; 2.2.4 Forced Vibration Analysis of an Undamped System Using Modal Analysis

2.2.5 Forced Vibration Analysis of a System with Proportional Damping2.2.6 Forced Vibration Analysis of a System with General Viscous Damping; 2.3 Recent Contributions; References; Problems; Chapter 3 Derivation of Equations: Equilibrium Approach; 3.1 Introduction; 3.2 Newton's Second Law of Motion; 3.3 D'Alembert's Principle; 3.4 Equation of Motion of a Bar in Axial Vibration; 3.5 Equation of Motion of a Beam in Transverse Vibration; 3.6 Equation of Motion of a Plate in Transverse Vibration; 3.6.1 State of Stress; 3.6.2 Dynamic Equilibrium Equations; 3.6.3 Strain-Displacement Relations

3.6.4 Moment-Displacement Relations3.6.5 Equation of Motion in Terms of Displacement; 3.6.6 Initial and Boundary Conditions; 3.7 Additional Contributions; References; Problems; Chapter 4 Derivation of Equations: Variational Approach; 4.1 Introduction; 4.2 Calculus of a Single Variable; 4.3 Calculus of Variations; 4.4 Variation Operator; 4.5 Functional with Higher-Order Derivatives; 4.6 Functional with Several Dependent Variables; 4.7 Functional with Several Independent Variables; 4.8 Extremization of a Functional with Constraints; 4.9 Boundary Conditions

4.10 Variational Methods in Solid Mechanics4.10.1 Principle of Minimum Potential Energy; 4.10.2 Principle of Minimum Complementary Energy; 4.10.3 Principle of Stationary Reissner Energy; 4.10.4 Hamilton's Principle; 4.11 Applications of Hamilton's Principle; 4.11.1 Equation of Motion for Torsional Vibration of a Shaft (Free Vibration); 4.11.2 Transverse Vibration of a Thin Beam; 4.12 Recent Contributions; Notes; References; Problems; Chapter 5 Derivation of Equations: Integral Equation Approach; 5.1 Introduction; 5.2 Classification of Integral Equations

Abstract:

A revised and up-to-date guide to advanced vibration analysis written by a noted expert The revised and updated second edition of Vibration of Continuous Systems offers a guide to all aspects of vibration of continuous systems including: derivation of equations of motion, exact and approximate solutions and computational aspects. The author-a noted expert in the field-reviews all possible types of continuous structural members and systems including strings, shafts, beams, membranes, plates, shells, three-dimensional bodies, and composite structural members. Designed to be a useful aid in the understanding of the vibration of continuous systems, the book contains exact analytical solutions, approximate analytical solutions, and numerical solutions. All the methods are presented in clear and simple terms and the second edition offers a more detailed explanation of the fundamentals and basic concepts. Vibration of Continuous Systems revised second edition: Contains new chapters on Vibration of three-dimensional solid bodies; Vibration of composite structures; and Numerical solution using the finite element method Reviews the fundamental concepts in clear and concise language Includes newly formatted content that is streamlined for effectiveness Offers many new illustrative examples and problems Presents answers to selected problems Written for professors, students of mechanics of vibration courses, and researchers, the revised second edition of Vibration of Continuous Systems offers an authoritative guide filled with illustrative examples of the theory, computational details, and applications of vibration of continuous systems.

Local Note:

John Wiley and Sons

Subject Term:

Vibration -- Textbooks.

Structural dynamics -- Textbooks.

Structural dynamics.

Vibration.

Constructions -- Dynamique.

vibration (physical)

TECHNOLOGY & ENGINEERING -- Civil -- General.

Structural dynamics

Vibration