✦ LIBER ✦
Comments on “an index of damping non-proportionality for discrete vibrating systems”
✍ Scribed by S.M. Shahruz
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 400 KB
- Volume
- 186
- Category
- Article
- ISSN
- 0022-460X
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✦ Synopsis
In reference [1], the authors consider an n-degree-of-freedom linear system represented by
for all te0, where the vectors
The authors apply a linear change of co-ordinates to system (1) to obtain y¨(t)+C y˙(t)+L k y(t)=h(t), (2) for all tr0, where y(t), h(t) $ R n , C $ R n×n and L k $ R n×n is a diagonal matrix. The authors let C =[c ij ] and define DMdiag [c 11 , c 22 , . . . , c nn ]. Then, they define a new index of non-proportionality as