Vibration and buckling of square plates with square holes subjected to biaxial and shear loads
- Univ. of Wales, Cardiff (United Kingdom). Div. of Structural Engineering
The finite element method of analysis is used to determine the elastic buckling loads and natural circular frequencies of flat square plates. The square plates contain centrally located square holes that vary in size. The plates are subjected to inplane biaxial compression, tensile loads and uniform shear. In all cases the load is distributed uniformly along the simply supported or clamped outer edges. The finite element used for calculating the inplane stiffness matrix is based on an assumed strain rather than displacement field, and is rectangular in shape. The out of plane finite element used is the nonconforming rectangular bending element having a total of twelve degrees of freedom, three at each of the four corner nodes. Square plates with centrally located holes are initially subjected to inplane biaxial compression, and the effect of this load on the natural frequency is examined for different sizes of hole. Similar analysis was carried out when inplane biaxial tension and uniform shear was applied. For both cases of biaxial compression and shear, the natural frequency decreased towards zero, as the applied force increased towards the elastic buckling load. When biaxial tension was applied the natural frequency increased with increasing tensile loads.
- OSTI ID:
- 382802
- Report Number(s):
- CONF-960154-; ISBN 0-9648731-8-4; TRN: IM9645%%353
- 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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