LINEAR DAMPING MODELS FOR STRUCTURAL VIBRATION
โ Scribed by J. Woodhouse
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 281 KB
- Volume
- 215
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
โฆ Synopsis
Linear damping models for structural vibration are examined: first the familiar dissipation-matrix model, then the general linear model. In both cases, an approximation of small damping is used to obtain simple expressions for damped natural frequencies, complex mode shapes, and transfer functions. Results for transfer functions can be expressed in the form of very direct extensions of the familiar expression for the undamped case. This allows a detailed discussion of the implications of the various damping models for the interpretation of measured transfer functions, especially in the context of experimental modal analysis. In the case of a dissipation-matrix model, it would be possible in principle to determine all the model parameters from measurements. In the case of the general model, however, there is a fundamental ambiguity which prevents full determination of the model from measurements on a single structure.
๐ SIMILAR VOLUMES
A simple 3 degree of freedom spring-mass-damper system has been used to investigate the response of structural systems when the damping mechanisms are more general than viscous or hysteretic damping. The damping forces in the dashpots were assumed proportional to a general power of the relative velo
Time delays occur in many physical systems. In particular, when automatic control is used with structural or mechanical systems, there typically exists a delay between measurement of the system state and corrective action. In this paper, non-linear vibrations are considered and a time delay is prese
A simple modal damping identification model developed by the present authors for classically damped linear building frames is extended here to the non-classically damped case. The modal damping values are obtained with the aid of the frequency domain modulus of the roof-to-basement transfer function