Calculation of free vibration of multistep shear plates
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 509-530 |
| Journal / Publication | JVC/Journal of Vibration and Control |
| Volume | 6 |
| Issue number | 4 |
| Publication status | Published - 2000 |
Link(s)
Abstract
The governing differential equations for free vibration of a one-step shear plate and a multistep shear plate are established. It is shown that a shear plate can be divided into two independent shear bars to determine the natural frequencies and mode shapes of the plate. The jkth natural frequency of a shear plate is equal to the square root of the square sum of the jth natural frequency of a shear bar and the kth natural frequency of another shear bar. The jkth mode shape of the shear plate is the product of the jth mode shape of a shear bar and the kth mode shape of another shear bar. In this paper, two methods - transfer matrix method and recurrence formula method - are proposed to determine the natural frequencies and mode shapes of multistep shear plates. A numerical example shows that the present methods are easy to implement and are efficient. © 2000 Sage Publications, Inc.
Research Area(s)
- Free vibration, Recurrence formula, Shear plate, Transfer matrix
Citation Format(s)
Calculation of free vibration of multistep shear plates. / Li, Q. S.; Fang, J. Q.; Jeary, A. P.
In: JVC/Journal of Vibration and Control, Vol. 6, No. 4, 2000, p. 509-530.
In: JVC/Journal of Vibration and Control, Vol. 6, No. 4, 2000, p. 509-530.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
