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Modern Vibrations Primer is the first vibrations text fully integrated with computer-based problem solving. It provides up-to-date material not only on fundamental methods of analysis, but on practical applications in industry. The author develops concepts from the bottom up, devoting the first few chapters to material covered in the first few pages of most other texts. He offers step-by-step instruction for converting real-life problems into simplified models for analysis, and presents mathematics and physical reasoning side by side. Later chapters focus on methods used in industry. This is a clear, highly readable text with a progressive, lecture-like presentation.
List of contents
Introduction. Formulation of Translational Systems. Formulation of Rotational Systems. Undamped Free Vibration. Energy Methods for Natural Frequency. Approximations for Distributed Systems. Periodic Force Excitation of Undamped Systems. Unbalance Excitation. Damped Free Vibration. Formulation of Damping Terms. Periodic Excitation of Damped Systems. Base Excitation. Unbalance Excitation of Damped Systems. Transients by Convolution. Shock Spectra. Transients. by Simulation. Random Vibrations. Two-Directional Motion. Multi-Mass Systems. Combined Translation and Rotation. Lagrangian Methods. Flexibility Formulation. Forced Excitation. Damped Multi-Degree-of-Freedom Systems. Whirling and Damping. Transfer Matrices. Tensioned Strings. Pressure and Shear Waves. Continuous Media. Beam Vibration. Column Vibration. Modal Analyzers. Time-Varying Coefficients. Linearization. The Phase Plane. Analytical Solution. Pseudo-Linearization. Series Expansions. Numerical Simulation . Vibration Control. Flow-Induced Vibrations. Literature Searches.
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Summary
Offers practicing mechanical engineers with guidance through the computer-based problem solving process. This book illustrates methods for reducing complex engineering problems to manageable, analytical models. It contains a helpful exposition that emphasizes practical application and builds in complexity as it progresses.
