LEADER 06682nam 22007815 450 001 9910337470003321 005 20220909185337.0 010 $a3-319-94271-9 024 7 $a10.1007/978-3-319-94271-1 035 $a(CKB)4100000007003266 035 $a(DE-He213)978-3-319-94271-1 035 $a(MiAaPQ)EBC5920004 035 $a(PPN)231461534 035 $a(EXLCZ)994100000007003266 100 $a20181012d2019 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTheory of Vibration $eAn Introduction /$fby Ahmed A. Shabana 205 $a3rd ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XIII, 375 p. 184 illus., 125 illus. in color.) 225 1 $aMechanical Engineering Series,$x0941-5122 311 $a3-319-94270-0 327 $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. 330 $aThis fully revised and updated third edition covers the physical and mathematical fundamentals of vibration analysis, including single degree of freedom, multi-degree of freedom, and continuous systems. Adding a new chapter on special topics such as motion control, impact dynamics, and nonlinear dynamics, this textbook imparts a sound understanding of the fundamental theory of vibration and its applications. In a simple and systematic manner, it presents techniques that can easily be applied to the analysis of vibration of mechanical and structural systems. Unlike other texts on vibrations, the approach is general, based on the conservation of energy and Lagrangian dynamics, and develops specific techniques from these foundations in clearly understandable stages. Suitable for a one-semester course on vibrations, the book presents new concepts in simple terms and explains procedures for solving problems in considerable detail. It contains numerous exercises, examples and end-of-chapter problems. Features updates and revisions to all chapters as well as new sections on motion control, impact dynamics, and nonlinear dynamics; Provides lucid yet rigorous review of the mathematics needed for the solution of the vibration equations; Presents complete coverage of the theory of vibration with focus of the fundamentals, numerical and computer methods;; Reinforces concepts with numerous exercises and examples and end-of-chapter problems; Includes a Fortran code for solving ODEs of nonlinear vibration systems. 410 0$aMechanical Engineering Series,$x0941-5122 606 $aVibration 606 $aDynamics 606 $aDynamics 606 $aMechanics 606 $aMechanics, Applied 606 $aAerospace engineering 606 $aAstronautics 606 $aStatistical physics 606 $aAutomotive engineering 606 $aVibration, Dynamical Systems, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/T15036 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 606 $aAerospace Technology and Astronautics$3https://scigraph.springernature.com/ontologies/product-market-codes/T17050 606 $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020 606 $aAutomotive Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T17047 615 0$aVibration. 615 0$aDynamics. 615 0$aDynamics. 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aAerospace engineering. 615 0$aAstronautics. 615 0$aStatistical physics. 615 0$aAutomotive engineering. 615 14$aVibration, Dynamical Systems, Control. 615 24$aSolid Mechanics. 615 24$aSolid Mechanics. 615 24$aAerospace Technology and Astronautics. 615 24$aApplications of Nonlinear Dynamics and Chaos Theory. 615 24$aAutomotive Engineering. 676 $a620.3 700 $aShabana$b Ahmed A$4aut$4http://id.loc.gov/vocabulary/relators/aut$025049 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910337470003321 996 $aTheory of Vibration$92287398 997 $aUNINA