Rao, Venkateswara G and Murty, Krishna AV and Rao, Kameswara A (1972) Bounds for eigenvalues in some vibration and stability problems. In: International Journal for Numerical Methods in Engineering, 5 (2). pp. 237-242.
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In finite element displacement methods for vibration and stability problems, upper bounds to eigenvalues are ensured only if consistent and conforming elements arte used, whereas the use of other elements may yield an upper or a lower bound. Here a systematic perturbation of the mass (or geometric stiffness) matrix is used to generate two classes of eigenvalue sequences whose respective members tend to a common limit from opposite sides.
| Item Type: | Journal Article |
|---|---|
| Publication: | International Journal for Numerical Methods in Engineering |
| Publisher: | John Wiley & Sons, Ltd. |
| Additional Information: | The copyright belongs to John Wiley & Sons, Ltd. |
| Department/Centre: | Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering) |
| Date Deposited: | 01 Feb 2006 |
| Last Modified: | 27 Aug 2008 11:43 |
| URI: | http://eprints.iisc.ac.in/id/eprint/5244 |
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