Vibration and buckling of uniaxially loaded square plates with square holes
- Univ. of Wales, Cardiff (United Kingdom). Div. of Structural Engineering
The finite element method of analysis is used to determine the natural frequencies and elastic buckling loads of flat square plates containing centrally located square holes. The lateral bending stiffness matrix used was the nonconforming rectangular element having a total of twelve degrees of freedom, three at each of the four corner nodes. To determine the inplane geometric matrix a strain based element is used. This element is rectangular in shape, has two degrees of freedom at each of the four corner nodes and its displacement fields satisfy the exact requirements of rigid body displacements. The natural frequencies of the plates with central square holes were first determined to show the influence of the size of the hole. These plates were then subjected to uniaxial compressive forces to determine the effect of these forces on the natural frequencies. The results show that the natural frequencies of the simply supported and clamped square plates with central square holes decrease with increasing compressive forces, and that the frequencies become zero when the axial compressive forces are equal to the elastic buckling loads of the plates.
- OSTI ID:
- 382801
- Report Number(s):
- CONF-960154-; ISBN 0-9648731-8-4; TRN: IM9645%%352
- Resource Relation:
- Conference: Energy Week `96: American Society of Mechanical Engineers and American Petroleum Institute energy week conference and exhibition, Houston, TX (United States), 21 Jan - 2 Feb 1996; Other Information: PBD: 1996; Related Information: Is Part Of Energy week `96: Conference papers. Book 4: Engineering technology; PB: 453 p.
- Country of Publication:
- United States
- Language:
- English
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