Chaotic Oscillation of Saddle Form Cable-Suspended Roofs under Vertical Excitation Action

Nonlinear Dynamics

Volumn 12, Issue 1, 1997, Pages 57-68

  Fan, Jiashen ^a   He, Fusheng ^b   Liu, Zhengrong ^c  

^a Yunnan Polytechnical University   (China)

^b YUNNAN NORMAL UNIVERSITY   (China)

^c YUNNAN UNIVERSITY   (China)

Author keywords

Bifurcation; Chaos; Saddle form cable suspended roofs; Truncated spectral model

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); CHAOS THEORY; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; OSCILLATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

DUFFING EQUATION; MELNIKOV METHOD; SPECTRAL EQUATION;

CABLE SUSPENDED ROOFS;

EID: 0030696533     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008241710683     Document Type: Article

References (7)

1. Jiashen Fan and Shen Mia, 'Exact solutions for the governing equations of stell rope-net roof', in Proceedings of the 14th International Conference on Steel Structures & Space Frames, Singapore, February 15-16, 1990, pp. 73-76.
2. Krishna P., Cable-Suspended Roofs, McGraw-Hill, New York, 1978, pp. 147-164.
3. Nayfeh, A. H., Introduction to Perturbation Techniques, John Wiley & Sons, New York, 1981, pp. 190-212.
4. Compiled by Harbin Architecture Engineering Institute, Steel Structures for Large Span Buildings (in Chinese), Chinese Architecture Engineering Publishing House, Beijing, 1985, pp. 115-119.
5. Malkin, E. G., Methods of Liapunov and Poincaré in Nonlinear Vibration (Chinese translation from Russian), Chinese Science Press, Beijing, 1959, pp. 154-163.
6. Guckenheimer, J. and Holmes, P., Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, Springer-Verlag, New York, 1983.
7. Bertozzi, A. L., 'Heteroclinic orbits and chaotic dynamics in planar fluid flows', SIAM Journal of Mathematical Analysis 19, 1988, 1271-1294.