LEADER 05606nam 2200685 450 001 9910459854803321 005 20200520144314.0 010 $a1-118-90019-7 010 $a1-118-90018-9 035 $a(CKB)3710000000303789 035 $a(EBL)1873192 035 $a(SSID)ssj0001381592 035 $a(PQKBManifestationID)12500423 035 $a(PQKBTitleCode)TC0001381592 035 $a(PQKBWorkID)11413094 035 $a(PQKB)10218309 035 $a(MiAaPQ)EBC1873192 035 $a(DLC) 2014016124 035 $a(PPN)228494931 035 $a(Au-PeEL)EBL1873192 035 $a(CaPaEBR)ebr10991568 035 $a(CaONFJC)MIL666188 035 $a(OCoLC)878051078 035 $a(EXLCZ)993710000000303789 100 $a20140422h20151997 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMechanical vibrations $etheory and application to structural dynamics /$fMichel Geradin, Daniel J. Rixen 205 $aThird edition. 210 1$aHoboken, New Jersey :$cWiley,$d2015. 210 4$dİ1997 215 $a1 online resource (617 p.) 300 $aDescription based upon print version of record. 311 $a1-322-34906-1 311 $a1-118-90020-0 320 $aIncludes bibliographical references and index. 327 $aCover; 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 327 $a1.3.1 Structure of kinetic energy and classification of inertia forces1.3.2 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 327 $a2.1 Linear vibrations about an equilibrium configuration2.1.1 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 327 $a2.3.3 Orthogonality relationships including rigid-body modes2.4 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 327 $a2.6.5 Normal excitation modes2.7 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 327 $a2.9.1 Motion imposed to a subset of degrees of freedom 330 $a"Mechanical Vibrations: Theory and Application to Structural Dynamics, Third Edition is a comprehensively updated and reorganized new edition of the popular textbook. It presents the theory of vibrations in the context of structural analysis and covers applications in mechanical and aerospace engineering, This new edition now includes the fundamentals of signal processing and identification technique, and develops the concepts of dynamic reduction and substructuring.A more detailed discussion of the concept of eigensolution sensitivity to physical parameters is included and the fundamental cases of wave propagation in solids are considered. It also includes a chapter on the finite element method for one-dimensional structures.This new edition contains coherent and uniform notation and now includes solved exercises at the end of each chapter"--$cProvided by publisher. 606 $aStructural dynamics 608 $aElectronic books. 615 0$aStructural dynamics. 676 $a624.1/76 686 $aSCI041000$2bisacsh 700 $aGe?radin$b Michel$f1945-$043719 702 $aRixen$b Daniel 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910459854803321 996 $aMechanical Vibrations$9357280 997 $aUNINA