Theory of vibration : an introduction /: an introduction. ([2019])

• Record Type: Book
• Further Information: Note: Ahmed A. Shabana.
• Authors: Shabana, Ahmed A, 1951-
• Contents: 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.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2019
• Extent: 1 online resource (xiii, 375 pages), illustrations (some color)
• Subjects: 531/.32; Engineering; Vibration; Science -- Mechanics -- General; Technology & Engineering -- Mechanical; Technology & Engineering -- Aeronautics & Astronautics; Science -- Chaotic Behavior in Systems; Technology & Engineering -- Automotive; Mechanical engineering; Mechanical engineering & materials; Aerospace & aviation technology; Nonlinear science; Automotive technology & trades; Mechanical engineering; Materials; Astronautics; Dynamics & vibration; Electronic books
• Languages: English
• ISBNs: 9783319942711; 3319942719
• Related ISBNs: 9783319942704
• Notes: Note: Online resource; title from PDF title page (SpringerLink, viewed October 19, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.