The Large Deflection of the Orthotropic and Rectangular Membrane under the External Distributed Load

Abstract:

This paper reviews research on the large deflection of the orthotropic and rectangular membrane under the distributed load. Through building the theoretical model of the orthotropic and rectangular membrane under the distributed load, the authors deduce the equations set of the membrane which has the effect of pretension and solve the equations set with the perturbation method. The authors obtain the relational expression between the maximum deflection of the membrane’s centre point and the external load, then make a comparison between the large deflection and the small deflection. At last, With the example, the authors analyze the change of the deflection of the centre point of the membrane along the external load, and the length of the side, and the large or small of the pretension and other parameter.

• Periodical: Applied Mechanics and Materials (Volumes 166-169)
• Pages: 725-729
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.166-169.725
• Online since: May 2012
• Authors: Long Jun, Zheng Zhoulian, Liu Changjiang, Song Weiju, Yin Hui Zhang, Hong Zeng
• Keywords: Large Deflection, Orthotropic Membrane, Perturbation Method

References

[1] S.L. Chen et, "the large deflection of the circle membrane under the concentrated load, " applied mathematics and mechanics, 2003，24 (1)，25—28.

[2] Z.L. Zheng, C.J. Liu, X.T. He, et al., "Free vibration analysis of rectangular orthotropic membranes in large deflection," Mathematical Problems in Engineering, p.634362(9), 2009.

[3] H.Duan, "the nonlinear deflection analysis of the rubber and circle membrane under press," Journal Of ShangHai JiaoTong University, 2003,37(1):90-92.

[4] X.T.He, J,L,Wu, "The symmetrical deflection of The circle and pretension membrane under the distributed load," Journal Of ChongQing University, 2010,33(1):109-112.

[5] Szilard, R. Theory and Analysis Of Plates [M], beijing: china railroad press,1984.

[6] F. Formosa, "Nonlinear dynamics analysis of a membrane Stirling engine: starting and stable operation," Journal of Sound and Vibration, vol. 326, no. 3-5, p.794–808, 2009.

DOI: 10.1016/j.jsv.2009.05.025