Mechanical vibration : analysis, uncertainties, and control / Haym Benaroya, Mark Nagurka, Seon Han.

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 MATLAB® 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.