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Theory of vibration = an introduction /

Shabana, Ahmed A.

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Theory of vibration = an introduction /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Theory of vibration/ by Ahmed A. Shabana.
Reminder of title:	an introduction /
Author:	Shabana, Ahmed A.
Published:	Cham :Springer International Publishing : : 2019.,
Description:	xiii, 375 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	1 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.
Contained By:	Springer eBooks
Subject:	Vibration. -
Online resource:	https://doi.org/10.1007/978-3-319-94271-1
ISBN:	9783319942711

Theory of vibration = an introduction /
Shabana, Ahmed A.

Theory of vibrationan introduction /[electronic resource] :by Ahmed A. Shabana. - 3rd ed. - Cham :Springer International Publishing :2019. - xiii, 375 p. :ill. (some col.), digital ;24 cm. - Mechanical engineering series,0941-5122. - Mechanical engineering series..

1 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.

ISBN: 9783319942711

Standard No.: 10.1007/978-3-319-94271-1doiSubjects--Topical Terms:

544256
Vibration.

LC Class. No.: TA355 / .S533 2019

Dewey Class. No.: 531.32

Theory of vibration = an introduction /
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