用摄动法和有限条法分析矩形板的大挠度
Large Deflection Analysis of Rectangular Plates by Combined Perturbation and Finite Strip Method
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摘要: 本文将摄动法和有限条法结合起来进行矩形板的大挠度弯曲分析.用摄动的概念,将非线性微分方程组化为一系列线性微分方程组,然后用有限条法解这些线性微分方程组.Abstract: The perturbation method and finite strip method are combined to solve the large deflection bending problems of rectangular plates. Perturbation method is used to reduce the nonlinear differential equations into a series of linear differential equations. The finite strip method is then employed to tackle these linear equations. Some calculation examples are compared with those got by other methods.
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Key words:
- rectangular plate /
- large deflection /
- perturbation method /
- finite strip method
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[1] Cheung,Y. K., Finite Strip Method in Structural Analysis, Pergamoan Press (1976). [2] Cheung,Y. K., Proc. Int. Conf. Finite Element Method, Ed G. He and Cheung, Y. K., Science Press, Beijing (1982), 36-49. [3] Chien, W. Z. and K. Y. Yeh,Proc. 9th Int. Congr. Theo. Appl. Mech., 41 (1957), 403-412. [4] Chia. C. Y., Nonlinear Analysis of Plates, McGraw-Hill Co. (1980). [5] 苏旭明,用摄动法与有限条法解矩形板几何非线性问题,天津大学硕士研究生毕业论文(1985). -
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