Elastic buckling, stability, and vibration of linear and geometrically nonlinear behavior of structures
- Univ. of Wales, Cardiff (United Kingdom). Div. of Structural Engineering
The present paper explores the physical and fundamental way of obtaining buckling loads of structures as well as their natural frequencies. The resulting mathematical formulations are shown, in both cases, to lead to the determination of the eigenvalues and vectors for similar transcendental equations. The analysis of a axially loaded straight member is first considered to show that when the axial load is tensile the corresponding natural frequencies are larger than when their is no applied axial load. Conversely when the axial load is compressive a decrease in the natural frequencies will take place and in the limit the natural frequencies become zero when the applied axial load is equal to the buckling load of the member. The paper will also present the results for a finite element analysis for the large deflection geometrically non-linear behavior of arches. The resulting complex relationships between load and deflection are discussed in terms of instability and snap through phenomena. The large-amplitude vibration of arches are then considered and the relationship between frequency and amplitude is discussed by inferring to the previously obtained statical loading cases.
- OSTI ID:
- 94411
- Report Number(s):
- CONF-950116--; ISBN 0-7918-1293-6
- Country of Publication:
- United States
- Language:
- English
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