INTRODUCTION AND BACKGROUND – Challenges and Examples – Systems and Structures – Basic Concepts of Vibration – Modeling for Vibration – Idealization and Formulation – Inertia, Stiffness, and Damping – Properties of Keyboard Keys – Computational Aspects – Is Vibration Good or Bad? – Vibration Control – Types of Vibration – Signal Classification – Deterministic Approximations – Probability – System Model Uncertainty – Random Vibration – Types of System Models – Linear Approximation – Dimensionality – Discrete Models – Continuous Models – Nonlinear Models – Basic Dynamics – Statics and Equilibrium – The Equations of Motion – Linear Momentum and Impulse – Principles of Work and Energy – Units – Mars Orbiter Loss – US Customary and SI Systems – The Second – Dimensional Analysis – Concepts Summary – Quotes – SINGLE DEGREEOFFREEDOM UNDAMPED VIBRATION – Motivating Examples – Transport of a Satellite – Rocket Propulsion – Deterministic Modeling – Problem Idealization .