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Singiresu S. Rao

Vibration of Continuous Systems

€ 202.95

Broad, up to date coverage of advanced vibration analysis by the market leading author

Successful vibration analysis of continuous structural elements and systems requires a knowledge of material mechanics, structural mechanics, ordinary and partial differential equations, matrix methods, variational calculus, and integral equations.


Taal / Language : English

Inhoudsopgave:
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Preface xv
Symbols xix
Introduction: Basic Concepts and Terminology
1(32)
Concept of Vibration
1(3)
Importance of Vibration
4(1)
Origins and Developments in Mechanics and Vibration
5(3)
History of Vibration of Continuous Systems
8(3)
Discrete and Continuous Systems
11(4)
Vibration Problems
15(1)
Vibration Analysis
16(1)
Excitations
17(1)
Harmonic Functions
18(6)
Representation of Harmonic Motion
18(3)
Definitions and Terminology
21(3)
Periodic Functions and Fourier Series
24(2)
Nonperiodic Functions and Fourier Integrals
26(3)
Literature on Vibration of Continuous Systems
29(4)
References
29(2)
Problems
31(2)
Vibration of Discrete Systems: Brief Review
33(35)
Vibration of a Single-Degree-of-Freedom System
33(10)
Free Vibration
33(3)
Forced Vibration under Harmonic Force
36(5)
Forced Vibration under General Force
41(2)
Vibration of Multidegree-of-Freedom Systems
43(17)
Eigenvalue Problem
45(1)
Orthogonality of Modal Vectors
46(1)
Free Vibration Analysis of an Undamped System Using Modal Analysis
47(5)
Forced Vibration Analysis of an Undamped System Using Modal Analysis
52(1)
Forced Vibration Analysis of a System with Proportional Damping
53(1)
Forced Vibration Analysis of a System with General Viscous Damping
54(6)
Recent Contributions
60(8)
References
61(1)
Problems
62(6)
Derivation of Equations: Equilibrium Approach
68(17)
Introduction
68(1)
Newton`s Second Law of Motion
68(1)
D`Alembert`s Principle
69(1)
Equation of Motion of a Bar in Axial Vibration
69(2)
Equation of Motion of a Beam in Transverse Vibration
71(2)
Equation of Motion of a Plate in Transverse Vibration
73(7)
State of Stress
75(1)
Dynamic Equilibrium Equations
75(1)
Strain--Displacement Relations
76(2)
Moment--Displacement Relations
78(1)
Equation of Motion in Terms of Displacement
78(1)
Initial and Boundary Conditions
79(1)
Additional Contributions
80(5)
References
80(1)
Problems
81(4)
Derivation of Equations: Variational Approach
85(38)
Introduction
85(1)
Calculus of a Single Variable
85(1)
Calculus of Variations
86(3)
Variation Operator
89(2)
Functional with Higher-Order Derivatives
91(2)
Functional with Several Dependent Variables
93(2)
Functional with Several Independent Variables
95(1)
Extremization of a Functional with Constraints
96(4)
Boundary Conditions
100(4)
Variational Methods in Solid Mechanics
104(11)
Principle of Minimum Potential Energy
104(1)
Principle of Minimum Complementary Energy
105(1)
Principle of Stationary Reissner Energy
106(1)
Hamilton`s Principle
107(8)
Applications of Hamilton`s Principle
115(4)
Equation of Motion for Torsional Vibration of a Shaft (Free Vibration)
115(1)
Transverse Vibration of a Thin Beam
116(3)
Recent Contributions
119(4)
References
120(1)
Extra informatie: 
Hardback
744 pagina's
Januari 2007
1429 gram
241 x 203 x 44 mm
John Wiley & Sons us

Levertijd: 5 tot 11 werkdagen