APPROXIMATING THE HYSTERETIC DAMPING MATRIX BY A VISCOUS MATRIX FOR MODELLING IN THE TIME DOMAIN
✍ Scribed by D.J. HENWOOD
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 487 KB
- Volume
- 254
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
✦ Synopsis
The paper is concerned with modelling the dynamic behaviour of a structure with damping. Hysteretic damping is commonly accepted to be reasonably accurate in some circumstances, but can only be applied directly in the frequency domain. Dynamic (time) behaviour, however, is most conveniently predicted by a viscous model. A damping matrix is constructed for use in the viscous equation which gives a dissipation of energy approximating to the hysteretic model. The approximation is justi"ed by comparing results in the frequency and time domains and against measured data from a loudspeaker diaphragm. The ability of the matrix to re#ect di!erent damping in various components of the structure is considered, together with predicted natural frequencies and modes.