000 08368cam a2200385 i 4500
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008 080505s2007 nyua b 001 0 eng d
010 _a 2007007410
011 _aBIB MATCHES WORLDCAT
020 _a0521880424
_qhardback
020 _a9780521880428
_qhardback
035 _a(OCoLC)85484990
040 _aDLC
_beng
_erda
_cDLC
_dYDX
_dBTCTA
_dBAKER
_dYDXCP
_dIXA
_dATU
050 0 0 _aTA355
_b.V57 2007
082 0 0 _a624.171
_222
100 1 _aVirgin, Lawrence N.,
_d1960-
_eauthor.
_9438695
245 1 0 _aVibration of axially loaded structures /
_cLawrence N. Virgin.
264 1 _aNew York, NY :
_bCambridge University Press,
_c2007.
300 _axvi, 351 pages :
_billustrations (some colour) ;
_c27 cm
336 _atext
_btxt
_2rdacontent
337 _aunmediated
_bn
_2rdamedia
338 _avolume
_bnc
_2rdacarrier
504 _aIncludes bibliographical references and index.
505 0 0 _g1.
_tContext: The Point of Departure --
_g2.
_tElements of Classical Mechanics --
_g2.1.
_tIntroduction --
_g2.2.
_tNewton's Second Law --
_g2.3.
_tEnergy and Work --
_g2.4.
_tVirtual Work and D'Alembert's Principle --
_g2.5.
_tHamilton's Principle and Lagrange's Equations --
_g2.5.1.
_tConstraints --
_g2.5.2.
_tConservation Laws --
_g2.6.
_tNonconservative Forces and Energy Dissipation --
_g2.6.1.
_tDamping --
_g2.6.2.
_tTime-Dependent Forces --
_g2.7.
_tStrain Energy --
_g3.
_tDynamics in the Vicinity of Equilibrium --
_g3.1.
_tThe Linear Oscillator --
_g3.2.
_tOscillator with a Slow Sweep of Frequency --
_g3.3.
_tDynamics and Stability --
_g3.3.1.
_tStability Concepts --
_g3.4.
_tBifurcations --
_g3.4.1.
_tThe Saddle-Node Bifurcation --
_g3.4.2.
_tBifurcations from a Trivial Equilibrium --
_g3.4.3.
_tInitial Imperfections --
_g3.4.4.
_tBifurcations of Maps --
_g3.5.
_tA Simple Demonstration Model --
_g3.6.
_tExperiments --
_g4.
_tHigher-Order Systems --
_g4.1.
_tIntroduction --
_g4.2.
_tMultiple-Degree-of-Freedom Systems --
_g4.2.1.
_tThe Algebraic Eigenvalue Problem --
_g4.2.2.
_tNormal Modes --
_g4.2.3.
_tEquilibrium, Linearization, and Stability --
_g4.2.4.
_tRouth - Hurwitz Criterion --
_g4.2.5.
_tLyapunov Functions --
_g4.2.6.
_tRayleigh's Quotient --
_g4.3.
_tDistributed Systems --
_g4.3.1.
_tThe Differential Eigenvalue Problem --
_g4.3.2.
_tSolution Methods --
_g4.3.3.
_tContext Revisited --
_g5.
_tDiscrete-Link Models --
_g5.1.
_tIntroduction --
_g5.2.
_tAn Inverted Pendulum --
_g5.2.1.
_tStatic Behavior --
_g5.2.2.
_tGeometric Imperfections --
_g5.2.3.
_tDynamic Behavior --
_g5.2.4.
_tA Note on Inertia --
_g5.3.
_tA Discrete-Strut Model --
_g5.4.
_tAn Asymmetric Model --
_g5.5.
_tA Three-Bar Model --
_g5.6.
_tA Snap-Through Model --
_g5.7.
_tAugusti's Model --
_g5.8.
_tMultiple Loads --
_g5.9.
_tLoad-Dependent Supports --
_g5.10.
_tPath Following and Continuation --
_g6.
_tStrings, Cables, and Membranes --
_g6.1.
_tIntroduction --
_g6.2.
_tThe Stretched String --
_g6.2.1.
_tThe Wave Equation --
_g6.2.2.
_tTraveling-Wave Solution --
_g6.2.3.
_tEnergy Considerations and Rayleigh's Principle --
_g6.3.
_tA Suspended Cable --
_g6.3.1.
_tThe Hanging Chain --
_g6.4.
_tA Rectangular Membrane --
_g7.
_tContinuous Struts --
_g7.1.
_tIntroduction --
_g7.2.
_tBasic Formulation --
_g7.2.1.
_tThe Response --
_g7.2.2.
_tThe Temporal Solution --
_g7.2.3.
_tThe Spatial Solution --
_g7.3.
_tRayleigh's Quotient --
_g7.4.
_tRayleigh - Ritz Analysis --
_g7.5.
_tA Galerkin Approach --
_g7.6.
_tHigher Modes --
_g7.7.
_tRotating Beams --
_g7.8.
_tA Strut with a Tangential Load --
_g7.9.
_tSelf-Weight --
_g7.9.1.
_tA Hanging Beam --
_g7.9.2.
_tExperiments --
_g7.10.
_tThermal Loading --
_g7.11.
_tOther Effects --
_g8.
_tOther Column-Type Structures --
_g8.1.
_tA Beam on an Elastic Foundation --
_g8.2.
_tElastically Restrained Supports --
_g8.3.
_tBeams with Variable Cross Section --
_g8.4.
_tModal Coupling --
_g8.5.
_tFlexural - Torsional Buckling and Vibration --
_g8.6.
_tType of Loading --
_g8.7.
_tA Continuous Arch --
_g9.
_tFrames --
_g9.1.
_tA Beam with General Boundary Conditions --
_g9.2.
_tThe Stiffness Method --
_g9.3.
_tA Self-Strained Frame Example --
_g9.4.
_tModal Analysis --
_g9.5.
_tLarge-Deflection Analysis --
_g9.6.
_tA Tubular Structure --
_g10.
_tPlates --
_g10.1.
_tIntroduction --
_g10.1.1.
_tBrief Review of the Classical Theory --
_g10.1.2.
_tStrain Energy --
_g10.1.3.
_tBoundary and Initial Conditions --
_g10.1.4.
_tThe Simplest Case --
_g10.1.5.
_tInitial Imperfections --
_g10.2.
_tThe Ritz and Finite-Element Approaches --
_g10.3.
_tA Fully Clamped Plate --
_g10.4.
_tModerately Large Deflections --
_g10.5.
_tPostbuckling --
_g10.6.
_tMode Jumping --
_g10.6.1.
_tIntroduction --
_g10.6.2.
_tThe Analytic Approach --
_g10.6.3.
_tFinite-Element Transient Results --
_g10.7.
_tCylindrical Shells --
_g11.
_tNondestructive Testing --
_g11.1.
_tIntroduction --
_g11.1.1.
_tThe Southwell Plot --
_g11.1.2.
_tExamples --
_g11.2.
_tSome Background --
_g11.3.
_tSnap-Through Revisited --
_g11.4.
_tRange of Prediction --
_g11.5.
_tA Box Column --
_g11.6.
_tPlates and Shells --
_g12.
_tHighly Deformed Structures --
_g12.1.
_tIntroduction to the Elastica --
_g12.2.
_tThe Governing Equations --
_g12.3.
_tCase Study A: Self-Weight Loading Revisited --
_g12.3.1.
_tNumerical Results --
_g12.3.2.
_tExperiments --
_g12.4.
_tCase Study B: A Heavy Beam --
_g12.4.1.
_tNumerical Results --
_g12.4.2.
_tExperiments --
_g12.5.
_tCase Study C: A Pinched Loop --
_g12.6.
_tCase Study D: A Beam Loaded by a Cable --
_g12.7.
_tThe Softening Loop Revisited --
_g13.
_tSuddenly Applied Loads --
_g13.1.
_tLoad Classification --
_g13.2.
_tBack to Link Models --
_g13.3.
_tDynamic Buckling of a Plate --
_g13.4.
_tA Type of Escaping Motion --
_g13.5.
_tImpulsive Loading --
_g13.5.1.
_tEquilibrium Behavior --
_g13.5.2.
_tBehavior under Sudden Loading --
_g13.6.
_tSnap-Through of a Curved Panel --
_g14.
_tHarmonic Loading: Parametric Excitation --
_g14.1.
_tAn Oscillating End Load --
_g14.2.
_tThe Variational Equation --
_g14.3.
_tMathieu's Equation --
_g14.4.
_tPulsating Axial Loads on Shells --
_g14.4.1.
_tA Curved Panel --
_g14.4.2.
_tA Cylindrical Shell --
_g15.
_tHarmonic Loading: Transverse Excitation --
_g15.1.
_tIntroduction: Resonance Effects --
_g15.1.1.
_tA Single-Mode Approximation --
_g15.1.2.
_tBeyond Buckling --
_g15.2.
_tThe Poincare Section --
_g15.3.
_tContinuous Systems --
_g15.4.
_tAn Application to Vibration Isolation --
_g15.4.1.
_tPostbuckling of a Strut Revisited --
_g15.4.2.
_tExperimental Verification --
_g15.4.3.
_tThe Forced Response --
_g15.5.
_tForced Excitation of the Thermally Buckled Plate --
_g16.
_tNonlinear Vibration --
_gPart I.
_tFree Vibration --
_g16.1.
_tIntroduction --
_g16.2.
_tAbstract Models --
_g16.3.
_tA Mass Between Stretched Springs --
_g16.4.
_tNonlinear Vibration of Strings --
_g16.5.
_tNonlinear Vibration of Beams --
_g16.6.
_tNonlinear Vibration of a Plate --
_g16.7.
_tNonlinear Vibration in Cylindrical Shells --
_gPart II.
_tForced Vibration --
_g16.8.
_tNonlinear Forced Vibration of Strings --
_g16.9.
_tNonlinear Forced Vibration of Beams --
_g16.10.
_tPersistent Snap-Through Behavior in a Plate --
_g16.11.
_tA Panel in Supersonic Flow --
_g16.12.
_tChaotic Behavior.
520 _a"This book concerns the vibration and the stability of slender structural components. The loss of stability of structures is an important aspect of structural mechanics and is presented here in terms of dynamic behavior. A variety of structural components are analyzed with a view to predict their response to various (primarily axial) loading conditions. A number of different techniques are presented, with experimental verification from the laboratory. Practical applications are widespread, ranging from cables to space structures. The book presents methods by which the combined effects of vibration and buckling on various structures can be assessed. Vibrations and buckling are usually treated separately, but in this book their influence on each other is examined together, with examples when a combined approach is necessary. The avoidance of instability is the primary goal of this material."--Publisher's website.
588 _aMachine converted from AACR2 source record.
650 0 _aVibration.
_9325550
650 0 _aStructural dynamics
_9324578
650 0 _aElastic analysis (Engineering)
_9317042
856 4 2 _3Contributor biographical information
_uhttp://www.loc.gov/catdir/enhancements/fy0743/2007007410-b.html
907 _a.b1131901x
_b10-06-19
_c27-10-15
942 _cB
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