MECHANICAL VIBRATION AND SHOCK ANALYSIS, 2ND EDITION：VOLUME 1, SINUSOIDAL VIBRATION

Volume 1: Sinusoidal Vibration

The relative and absolute response of a mechanical system with a single degree of freedom is considered for arbitrary excitation, and its transfer function defined in various forms. The characteristics of sinusoidal vibration are examined in the context both of the real world and of laboratory tests, and for both transient and steady state response of the single-degree-of-freedom system. Viscous damping and then nonlinear damping are considered. The various types of swept sine perturbations and their properties are described and, for the one-degree-of-freedom system, the consequence of an inappropriate choice of sweep rate are considered. From the latter, rules governing the choice of suitable sweep rates are developed.

The Mechanical Vibration and Shock Analysis five-volume series has been written with both the professional engineer and the academic in mind. Christian Lalanne explores every aspect of vibration and shock, two fundamental and extremely significant areas of mechanical engineering, from both a theoretical and practical point of view. The five volumes cover all the necessary issues in this area of mechanical engineering. The theoretical analyses are placed in the context of both the real world and the laboratory, which is essential for the development of specifications.

1. The necessity.

2. Basic mechanics.

3. Response of a linear one-degree-of-freedom mechanical system to an arbitrary excitation.

4. Impulse and step responses.

5. Sinusoidal vibration.

6. Response of a linear single-degree-of-freedom mechanical system to a sinusoidal excitation.

7. Non-viscous damping.

8. Swept sine.

9. Response of a one-degree-of-freedom linear system to a swept sine vibration.