Mechanical vibration : analysis, uncertainties, and control /
Haym Benaroya, Mark Nagurka, Seon Han.
- Fourth edition.
- xxii, 579 pages.
Includes bibliographical references and index
Chapter1 INTRODUCTION AND BACKGROUND; 1.1 Challenges and Examples; 1.2 Systems and Structures; 1.3 Basic Concepts of Vibration; 1.3.1 Modeling for Vibration; 1.3.2 Idealization and Formulation; 1.3.3 Inertia, Stiffness, and Damping; 1.3.4 Properties of Keyboard Keys; 1.3.5 Computational Aspects; 1.3.6 Is Vibration Good or Bad; 1.3.7 Vibration Control; 1.4 Types of Vibration; 1.4.1 Signal Classification; 1.4.2 Deterministic Approximations; 1.4.3 Probability; 1.4.4 SystemModel Uncertainty. 1.4.5 RandomVibration1.5 Types of SystemModels; 1.5.1 Linear Approximation; 1.5.2 Dimensionality; 1.5.3 DiscreteModels; 1.5.4 ContinuousModels; 1.5.5 NonlinearModels; 1.6 Basic Dynamics; 1.6.1 Statics and Equilibrium; 1.6.2 The Equations of Motion; 1.6.3 LinearMomentumand Impulse; 1.6.4 Principles of Work and Energy; 1.7 Units; 1.7.1 Mars Orbiter Loss; 1.7.2 U.S. Customary and SI Systems; 1.7.3 The Second; 1.7.4 Dimensional Analysis; 1.8 Concepts Summary; 1.9 Quotes; Chapter2 SINGLE DEGREE-OF-FREEDOM UNDAMPED VIBRATION; 2.1 Motivating Examples; 2.1.1 Transport of a Satellite. 2.1.2 Rocket Propulsion2.2 DeterministicModeling; 2.2.1 ProblemIdealization; 2.2.2 Mass, Damping, and Stiffness; 2.2.3 Deterministic Approximation; 2.2.4 Equations of Motion; 2.2.5 Energy Formulation; 2.2.6 Representing HarmonicMotion; 2.2.7 Solving the Equations of Motion; 2.3 Undamped Free Vibration; 2.3.1 Alternate Formulation; 2.3.2 Phase Plane; 2.4 Harmonically Forced Vibration; 2.4.1 A Note on Terminology; 2.4.2 Resonance; 2.4.3 Vibration of a Structure inWater; 2.5 Concepts Summary; 2.6 Quotes; 2.7 Problems; Chapter3 SINGLE DEGREE-OF-FREEDOM DAMPED VIBRATION; 3.1 Overview. 3.2 Introduction to Damping3.3 DampingModels; 3.3.1 Viscous Damping and Loss Factor; 3.3.2 Coulomb Damping; 3.4 Free Vibration with Viscous Damping; 3.4.1 Critically Damped and Overdamped Systems; 3.4.2 Some Time Constants; 3.4.3 Underdamped Systems; 3.4.4 Logarithmic Decrement; 3.4.5 Phase Plane; 3.5 Free Vibration with Coulomb Damping; 3.6 Forced Vibration with Viscous Damping; 3.7 Forced Harmonic Vibration; 3.7.1 Response to Harmonic Excitation; 3.7.2 Harmonic Excitation in Complex Notation; 3.7.3 Harmonic Base Excitation; 3.7.4 Rotating Unbalance; 3.8 Forced Periodic Vibration. 3.8.1 Harmonic/Spectral Analysis3.8.2 Fourier Series; 3.9 Concepts Summary; 3.10 Quotes; 3.11 Problems; Chapter4 SINGLE DOF VIBRATION: GENERAL LOADING AND ADVANCED TOPICS; 4.1 Arbitrary Loading: Laplace Transform; 4.2 Step Loading; 4.3 Impulsive Excitation; 4.4 Arbitrary Loading: Convolution Integral; 4.5 Introduction to Lagrange's Equation; 4.6 Notions of Randomness; 4.7 Notions of Control; 4.8 The Inverse Problem; 4.9 A Self-Excited System and Its Stability; 4.10 Solution Analysis and Design Techniques; 4.11 Model of a Bouncing Ball; 4.11.1 Time of Contact; 4.11.2 Stiffness and Damping.
"Mechanical Vibration: Analysis, Uncertainties, and Control, Fourth Edition addresses the principles and application of vibration theory. Equations for modeling vibrating systems are explained, and MATLABŪ is referenced as an analysis tool. The Fourth Edition adds more coverage of damping, new case studies, and development of the control aspects in vibration analysis. A MATLAB appendix has also been added to help students with computational analysis. This work includes example problems and explanatory figures, biographies of renowned contributors, and access to a website providing supplementary resources."--Provided by publisher.