Modern Vibrations Primer

Part - 1: Simple Systems Introduction and Resources Formulation of Translational Systems and Review of Units Formulation of Rotational Systems and Review of Second Moments Undamped Free Vibration and Static Deflection Energy Methods for Natural Frequency with an Introduction to Hamiltonian Methods Approximations for Distributed Systems and Hydrodynamic Inertia Periodic Force Excitation of Undamped Systems and Review of Numerical Fourier analysis Unbalance Excitation Part - 2: Damped Systems and Rotating Shafts Damped Free Vibration and Logarithmic Decrement Formulation of Damping Terms and Hereditary Damping Periodic Excitation of Damped Systems and Forces at the Base Base Excitation and Dynamic Instrumentation Unbalance Excitation of Damped Systems and Forces at the Base Transients Convolution Shock Spectra and Similitude Transients by Simulation Transients by Integral Transforms Random Vibrations and Statistical Concepts Part - 3: Multi Degree of Freedom Systems Two Directional Motion and Principal Coordinates Multi Mass Systems from Newton's law Combined Translation and Rotation and Mass Coupling Lagrangian Methods and Equivalent Coupling Flexibility Formulation and Estimation Methods Forced Excitation and Modal Analysis Damped Multi Degree of Freedom Systems and State Variable Formulations Whirling and Damping Transfer Matrices and Finite Elements Part - 4: Continuous Systems Tensioned Strings and Threadlines Pressure and Shear Waves and Special End Conditions Continuous Media and Acoustic Measurements Beam Vibration and Approximate Methods Column Vibration and Rails and Pipes Modal Analyzers and Cross Spectra Part - 5: Parametric Excitation Time-Varying Coefficients and Mathieu's Equation Part - 6: Non-Linear Vibration Linearization and Error Analysis The Phase Plane and Graphical Solutions Analytical Solution and Elliptic Integrals Pseudo Linearization and Equivalent Damping Series Expansions and Subharmonics Numerical Simulation and Chaos Vibration Control Active and Semi Active Flow Induced Vibrations and Flow Instabilities Literature Searches Index