Mechanical Vibrations : (Record no. 67197)

000 -LEADER
fixed length control field 12250nam a22005293i 4500
001 - CONTROL NUMBER
control field EBC1873192
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20191126082631.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 191125s2015 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781118900185
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9781118900208
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC1873192
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL1873192
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr10991568
035 ## - SYSTEM CONTROL NUMBER
System control number (CaONFJC)MIL666188
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)878051078
040 ## - CATALOGING SOURCE
Original cataloging agency MiAaPQ
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency MiAaPQ
Modifying agency MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number TA654 -- .G45 2015eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 624.1/76
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Geradin, Michel.
9 (RLIN) 14146
245 10 - TITLE STATEMENT
Title Mechanical Vibrations :
Remainder of title Theory and Application to Structural Dynamics.
250 ## - EDITION STATEMENT
Edition statement 3rd ed.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture New York :
Name of producer, publisher, distributor, manufacturer John Wiley & Sons, Incorporated,
Date of production, publication, distribution, manufacture, or copyright notice 2015.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2015.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (617 pages)
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Cover -- TItle Page -- Copyright -- Contents -- Foreword -- Preface -- Introduction -- Suggested Bibliography -- List of main symbols and definitions -- Chapter 1 Analytical Dynamics of Discrete Systems -- Definitions -- 1.1 Principle of virtual work for a particle -- 1.1.1 Nonconstrained particle -- 1.1.2 Constrained particle -- 1.2 Extension to a system of particles -- 1.2.1 Virtual work principle for N particles -- 1.2.2 The kinematic constraints -- 1.2.3 Concept of generalized displacements -- 1.3 Hamilton's principle for conservative systems and Lagrange equations -- 1.3.1 Structure of kinetic energy and classification of inertia forces -- 1.3.2 Energy conservation in a system with scleronomic constraints -- 1.3.3 Classification of generalized forces -- 1.4 Lagrange equations in the general case -- 1.5 Lagrange equations for impulsive loading -- 1.5.1 Impulsive loading of a mass particle -- 1.5.2 Impulsive loading for a system of particles -- 1.6 Dynamics of constrained systems -- 1.7 Exercises -- 1.7.1 Solved exercises -- 1.7.2 Selected exercises -- References -- Chapter 2 Undamped Vibrations of n-Degree-of-Freedom Systems -- Definitions -- 2.1 Linear vibrations about an equilibrium configuration -- 2.1.1 Vibrations about a stable equilibrium position -- 2.1.2 Free vibrations about an equilibrium configuration corresponding to steady motion -- 2.1.3 Vibrations about a neutrally stable equilibrium position -- 2.2 Normal modes of vibration -- 2.2.1 Systems with a stable equilibrium configuration -- 2.2.2 Systems with a neutrally stable equilibrium position -- 2.3 Orthogonality of vibration eigenmodes -- 2.3.1 Orthogonality of elastic modes with distinct frequencies -- 2.3.2 Degeneracy theorem and generalized orthogonality relationships -- 2.3.3 Orthogonality relationships including rigid-body modes.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 2.4 Vector and matrix spectral expansions using eigenmodes -- 2.5 Free vibrations induced by nonzero initial conditions -- 2.5.1 Systems with a stable equilibrium position -- 2.5.2 Systems with neutrally stable equilibrium position -- 2.6 Response to applied forces: forced harmonic response -- 2.6.1 Harmonic response, impedance and admittance matrices -- 2.6.2 Mode superposition and spectral expansion of the admittance matrix -- 2.6.3 Statically exact expansion of the admittance matrix -- 2.6.4 Pseudo-resonance and resonance -- 2.6.5 Normal excitation modes -- 2.7 Response to applied forces: response in the time domain -- 2.7.1 Mode superposition and normal equations -- 2.7.2 Impulse response and time integration of the normal equations -- 2.7.3 Step response and time integration of the normal equations -- 2.7.4 Direct integration of the transient response -- 2.8 Modal approximations of dynamic responses -- 2.8.1 Response truncation and mode displacement method -- 2.8.2 Mode acceleration method -- 2.8.3 Mode acceleration and model reduction on selected coordinates -- 2.9 Response to support motion -- 2.9.1 Motion imposed to a subset of degrees of freedom -- 2.9.2 Transformation to normal coordinates -- 2.9.3 Mechanical impedance on supports and its statically exact expansion -- 2.9.4 System submitted to global support acceleration -- 2.9.5 Effective modal masses -- 2.9.6 Method of additional masses -- 2.10 Variational methods for eigenvalue characterization -- 2.10.1 Rayleigh quotient -- 2.10.2 Principle of best approximation to a given eigenvalue -- 2.10.3 Recurrent variational procedure for eigenvalue analysis -- 2.10.4 Eigensolutions of constrained systems: general comparison principle or monotonicity principle -- 2.10.5 Courant's minimax principle to evaluate eigenvalues independently of each other.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 2.10.6 Rayleigh's theorem on constraints (eigenvalue bracketing) -- 2.11 Conservative rotating systems -- 2.11.1 Energy conservation in the absence of external force -- 2.11.2 Properties of the eigensolutions of the conservative rotating system -- 2.11.3 State-space form of equations of motion -- 2.11.4 Eigenvalue problem in symmetrical form -- 2.11.5 Orthogonality relationships -- 2.11.6 Response to nonzero initial conditions -- 2.11.7 Response to external excitation -- 2.12 Exercises -- 2.12.1 Solved exercises -- 2.12.2 Selected exercises -- References -- Chapter 3 Damped Vibrations of n-Degree-of-Freedom Systems -- Definitions -- 3.1 Damped oscillations in terms of normal eigensolutions of the undamped system -- 3.1.1 Normal equations for a damped system -- 3.1.2 Modal damping assumption for lightly damped structures -- 3.1.3 Constructing the damping matrix through modal expansion -- 3.2 Forced harmonic response -- 3.2.1 The case of light viscous damping -- 3.2.2 Hysteretic damping -- 3.2.3 Force appropriation testing -- 3.2.4 The characteristic phase lag theory -- 3.3 State-space formulation of damped systems -- 3.3.1 Eigenvalue problem and solution of the homogeneous case -- 3.3.2 General solution for the nonhomogeneous case -- 3.3.3 Harmonic response -- 3.4 Experimental methods of modal identification -- 3.4.1 The least-squares complex exponential method -- 3.4.2 Discrete Fourier transform -- 3.4.3 The rational fraction polynomial method -- 3.4.4 Estimating the modes of the associated undamped system -- 3.4.5 Example: experimental modal analysis of a bellmouth -- 3.5 Exercises -- 3.5.1 Solved exercises -- 3.6 Proposed exercises -- References -- Chapter 4 Continuous Systems -- Definitions -- 4.1 Kinematic description of the dynamic behaviour of continuous systems: Hamilton's principle -- 4.1.1 Definitions.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 4.1.2 Strain evaluation: Green's measure -- 4.1.3 Stress-strain relationships -- 4.1.4 Displacement variational principle -- 4.1.5 Derivation of equations of motion -- 4.1.6 The linear case and nonlinear effects -- 4.2 Free vibrations of linear continuous systems and response to external excitation -- 4.2.1 Eigenvalue problem -- 4.2.2 Orthogonality of eigensolutions -- 4.2.3 Response to external excitation: mode superposition (homogeneous spatial boundary conditions) -- 4.2.4 Response to external excitation: mode superposition (nonhomogeneous spatial boundary conditions) -- 4.2.5 Reciprocity principle for harmonic motion -- 4.3 One-dimensional continuous systems -- 4.3.1 The bar in extension -- 4.3.2 Transverse vibrations of a taut string -- 4.3.3 Transverse vibration of beams with no shear deflection -- 4.3.4 Transverse vibration of beams including shear deflection -- 4.3.5 Travelling waves in beams -- 4.4 Bending vibrations of thin plates -- 4.4.1 Kinematic assumptions -- 4.4.2 Strain expressions -- 4.4.3 Stress-strain relationships -- 4.4.4 Definition of curvatures -- 4.4.5 Moment-curvature relationships -- 4.4.6 Frame transformation for bending moments -- 4.4.7 Computation of strain energy -- 4.4.8 Expression of Hamilton's principle -- 4.4.9 Plate equations of motion derived from Hamilton's principle -- 4.4.10 Influence of in-plane initial stresses on plate vibration -- 4.4.11 Free vibrations of the rectangular plate -- 4.4.12 Vibrations of circular plates -- 4.4.13 An application of plate vibration: the ultrasonic wave motor -- 4.5 Wave propagation in a homogeneous elastic medium -- 4.5.1 The Navier equations in linear dynamic analysis -- 4.5.2 Plane elastic waves -- 4.5.3 Surface waves -- 4.6 Solved exercises -- 4.7 Proposed exercises -- References -- Chapter 5 Approximation of Continuous Systems by Displacement Methods -- Definitions.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 5.1 The Rayleigh-Ritz method -- 5.1.1 Choice of approximation functions -- 5.1.2 Discretization of the displacement variational principle -- 5.1.3 Computation of eigensolutions by the Rayleigh-Ritz method -- 5.1.4 Computation of the response to external loading by the Rayleigh-Ritz method -- 5.1.5 The case of prestressed structures -- 5.2 Applications of the Rayleigh-Ritz method to continuous systems -- 5.2.1 The clamped-free uniform bar -- 5.2.2 The clamped-free uniform beam -- 5.2.3 The uniform rectangular plate -- 5.3 The finite element method -- 5.3.1 The bar in extension -- 5.3.2 Truss frames -- 5.3.3 Beams in bending without shear deflection -- 5.3.4 Three-dimensional beam element without shear deflection -- 5.3.5 Beams in bending with shear deformation -- 5.4 Exercises -- 5.4.1 Solved exercises -- 5.4.2 Selected exercises -- References -- Chapter 6 Solution Methods for the Eigenvalue Problem -- Definitions -- 6.1 General considerations -- 6.1.1 Classification of solution methods -- 6.1.2 Criteria for selecting the solution method -- 6.1.3 Accuracy of eigensolutions and stopping criteria -- 6.2 Dynamical and symmetric iteration matrices -- 6.3 Computing the determinant: Sturm sequences -- 6.4 Matrix transformation methods -- 6.4.1 Reduction to a diagonal form: Jacobi's method -- 6.4.2 Reduction to a tridiagonal form: Householder's method -- 6.5 Iteration on eigenvectors: the power algorithm -- 6.5.1 Computing the fundamental eigensolution -- 6.5.2 Determining higher modes: orthogonal deflation -- 6.5.3 Inverse iteration form of the power method -- 6.6 Solution methods for a linear set of equations -- 6.6.1 Nonsingular linear systems -- 6.6.2 Singular systems: nullspace, solutions and generalized inverse -- 6.6.3 Singular matrix and nullspace -- 6.6.4 Solution of singular systems -- 6.6.5 A family of generalized inverses.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 6.6.6 Solution by generalized inverses and finding the nullspace N.
520 ## - SUMMARY, ETC.
Summary, etc. Mechanical Vibrations: Theory and Application to Structural Dynamics, Third Edition is a comprehensively updated new edition of the popular textbook. It presents the theory of vibrations in the context of structural analysis and covers applications in mechanical and aerospace engineering. Key features include: A systematic approach to dynamic reduction and substructuring, based on duality between mechanical and admittance concepts An introduction to experimental modal analysis and identification methods An improved, more physical presentation of wave propagation phenomena A comprehensive presentation of current practice for solving large eigenproblems, focusing on the efficient linear solution of large, sparse and possibly singular systems A deeply revised description of time integration schemes, providing framework for the rigorous accuracy/stability analysis of now widely used algorithms such as HHT and Generalized-α Solved exercises and end of chapter homework problems A companion website hosting supplementary material.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2019. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Structural dynamics.
9 (RLIN) 14147
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
9 (RLIN) 14148
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Rixen, Daniel J.
9 (RLIN) 14149
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Gaeradin, Michel.
9 (RLIN) 14150
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Geradin, Michel
Title Mechanical Vibrations : Theory and Application to Structural Dynamics
Place, publisher, and date of publication New York : John Wiley & Sons, Incorporated,c2015
International Standard Book Number 9781118900208
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
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856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/thebc/detail.action?docID=1873192">https://ebookcentral.proquest.com/lib/thebc/detail.action?docID=1873192</a>
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