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020 _a9783319942711
_9978-3-319-94271-1
024 7 _a10.1007/978-3-319-94271-1
_2doi
050 4 _aTA352-356
072 7 _aTGMD4
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTGMD
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082 0 4 _a620.3
_223
100 1 _aShabana, Ahmed A.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_932742
245 1 0 _aTheory of Vibration
_h[electronic resource] :
_bAn Introduction /
_cby Ahmed A. Shabana.
250 _a3rd ed. 2019.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2019.
300 _aXIII, 375 p. 184 illus., 125 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMechanical Engineering Series,
_x2192-063X
505 0 _a1 Introduction -- 1.1 Basic Definitions -- 1.2 Elements of the Vibration Models -- 1.3 Particle Dynamics -- 1.4 Systems of Particles -- 1.5 Dynamics of Rigid Bodies -- 1.6 Linearization of the Differential Equations -- 1.7 Idealization of Mechanical and Structural Systems -- Problems -- 2 Solution of the Vibration Equations -- 2.1 Homogeneous Differential Equations -- 2.2 Initial Conditions -- 2.3 Solution of Nonhomogeneous Equations with Constant Coefficients -- 2.4 Stability of Motion -- Problems -- 3 Free Vibration of Single Degree of Freedom Systems -- 3.1 Free Undamped Vibration -- 3.2 Analysis of the Oscillatory Motion -- 3.3 Stability of Undamped Linear Systems -- 3.4 Continuous Systems -- 3.5 Equivalent Systems -- 3.6 Free Damped Vibration -- 3.7 Logarithmic Decrement -- 3.8 Structural Damping -- 3.9 Coulomb Damping -- 3.10 Self-Excited Vibration -- 3.11 Motion Control -- 3.12 Impact Dynamics -- Problems -- 4 Forced Vibration -- 4.1 Differential Equation of Motion -- 4.2 Forced Undamped Vibration -- 4.3 Resonance and Beating -- 4.4 Forced Vibration of Damped Systems -- 4.5 Rotating Unbalance -- 4.6 Base Motion -- 4.7 Measuring Instruments -- 4.8 Experimental Methods for Damping Evaluation -- Problems -- 5 Response to Nonharmonic Forces -- 5.1 Periodic Forcing Functions -- 5.2 Determination of the Fourier Coefficients -- 5.3 Special Cases -- 5.4 Vibration Under Periodic Forcing Functions -- 5.5 Impulsive Motion -- 5.6 Response to an Arbitrary Forcing Function -- 5.7 Frequency Contents in Arbitrary Forcing Functions -- 5.8 Computer Methods in Nonlinear Vibration -- Problems -- 6 Systems with More Than One Degree of Freedom -- 6.1 Free Undamped Vibration -- 6.2 Matrix Equations -- 6.3 Damped Free Vibration -- 6.4 Undamped Forced Vibration -- 6.5 Vibration Absorber of the Undamped System -- 6.6 Forced Vibration of Damped Systems -- 6.7 The Untuned Viscous Vibration Absorber -- 6.8 Multi-Degree of Freedom Systems -- Problems -- 7 Continuous Systems -- 7.1 Free Longitudinal Vibrations -- 7.2 Free Torsional Vibrations -- 7.3 Free Transverse Vibrations -- 7.4 Orthogonality of the Eigenfunctions -- 7.5 Forced Longitudinal and Torsional Vibrations -- 7.6 Forced Transverse Vibrations -- Problems -- References -- Answers to Selected Problems.
520 _aThis fully revised and updated third edition covers the physical and mathematical fundamentals of vibration analysis, including single degree of freedom, multi-degree of freedom, and continuous systems. Adding a new chapter on special topics such as motion control, impact dynamics, and nonlinear dynamics, this textbook imparts a sound understanding of the fundamental theory of vibration and its applications. In a simple and systematic manner, it presents techniques that can easily be applied to the analysis of vibration of mechanical and structural systems. Unlike other texts on vibrations, the approach is general, based on the conservation of energy and Lagrangian dynamics, and develops specific techniques from these foundations in clearly understandable stages. Suitable for a one-semester course on vibrations, the book presents new concepts in simple terms and explains procedures for solving problems in considerable detail. It contains numerous exercises, examples and end-of-chapter problems. Features updates and revisions to all chapters as well as new sections on motion control, impact dynamics, and nonlinear dynamics; Provides lucid yet rigorous review of the mathematics needed for the solution of the vibration equations; Presents complete coverage of the theory of vibration with focus of the fundamentals, numerical and computer methods;; Reinforces concepts with numerous exercises and examples and end-of-chapter problems; Includes a Fortran code for solving ODEs of nonlinear vibration systems.
650 0 _aMultibody systems.
_96018
650 0 _aVibration.
_96645
650 0 _aMechanics, Applied.
_93253
650 0 _aSolids.
_93750
650 0 _aAerospace engineering.
_96033
650 0 _aAstronautics.
_932743
650 0 _aNonlinear Optics.
_911414
650 0 _aAutomotive engineering.
_932744
650 1 4 _aMultibody Systems and Mechanical Vibrations.
_932157
650 2 4 _aSolid Mechanics.
_931612
650 2 4 _aAerospace Technology and Astronautics.
_932745
650 2 4 _aNonlinear Optics.
_911414
650 2 4 _aAutomotive Engineering.
_932746
710 2 _aSpringerLink (Online service)
_932747
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
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776 0 8 _iPrinted edition:
_z9783319942728
776 0 8 _iPrinted edition:
_z9783030068240
830 0 _aMechanical Engineering Series,
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856 4 0 _uhttps://doi.org/10.1007/978-3-319-94271-1
912 _aZDB-2-ENG
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