Homotopic perturbation method for nonlinear vibrations of bimetallic shallow shells of revolution

Qinghua Daxue Xuebao/Journal of Tsinghua University

Volumn 47, Issue 8, 2007, Pages 1389-1392

  Wang, Yonggang ^a   Song, Huifang ^a   Xu, Zhangshi ^b  

^a CHINA AGRICULTURAL UNIVERSITY   (China)

^b Yumen Petroleum Machinery Plant   (China)

Author keywords

Bimetallic shallow shells; Homotopy perturbation method; Nonlinear vibration; Temperature change; Variational method

Indexed keywords

DIFFERENTIAL EQUATIONS; SPRINGS (COMPONENTS); VIRTUAL STORAGE;

BIMETALLIC SHALLOW SHELLS; HOMOTOPY PERTURBATION METHOD; NONLINEAR VIBRATION; TEMPERATURE CHANGE; VARIATIONAL METHOD;

VIBRATIONS (MECHANICAL);

EID: 34548479012     PISSN: 10000054     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. LIU Renhuai. Nonlinear thermal stability of bimetallic shallow shells of revolution[J]. Int J Nonlinear Mech, 1983, 18(5): 409-429.
2. Radkowski P P. Buckling of thin single-and multi-layer conical and cylindrical shells with rotationally symmetric stresses[C]//Haythornthwaite R M, eds. Proc 3rd US National Congr Appl Mech. New York: ASME, 1958: 443-449.
3. WANG Yonggang, DAI Shiliang. Nonlinear vibration of heated bimetallic thin circular plates[J]. J Tsinghua Univ (Sci and Tech), 2003, 43(2): 218-221. (in Chinese)
4. WANG Yonggang, DAI Shiliang. Nonlinear vibration of bimetallic circular thin plates under stationary thermal loads[C]//CHIEN Weizang, eds. Proc 4th Int Conf on Nonlinear Mech, ICNM-IV. Shanghai: Shanghai Univ Press, 2002: 499-503.
5. He J H. The homotopy perturbation method for nonlinear oscillators with discontinuities[J]. Appl Math Comput, 2004, 155: 287-292.
6. He J H. Variational iteration method-A kind of nonlinear analytical technique: some examples[J]. Int J Nonlinear Mech, 1999, 34(4): 699-708.
7. Nayfeh A H. Introduction to Perturbation Techniques[M]. New York: John Wiley and Sons, 1981.
8. Varadan T K, Pandalai K A V. Nonlinear flexural oscillations of orthotropic shallow spherical shells[J]. Comput Struct, 1978, 9: 417-425.