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The problems of nonlinear bending for orthotropic rectangular plate with four clamped edges

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Abstract

In this paper, under the non-uniform transverse load, the problems of nonlinear bending for orthotropic rectangular plate are studied by using “the method of twovariable”[1] and “the method of mixing perturbation”[2]. The uniformly valid asymptotic solutions of Nth-order for ɛ1 and Mth-order for ɛ2 for orthotropic rectangular plate with four clamped edges are obtained.

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References

  1. JiangFuru, On the boundary layer method, Appl. Math. and Mech. (English Ed.), 2, 5 (1981). 505–518.

    Google Scholar 

  2. QinShingli and ZhangAishu. On the jumping problems of circular thin plate with initial deflection. Appl. Math. and Mech. (English Ed.), 8, 5 (1987). 447–485.

    Google Scholar 

  3. W. Z.Chien. Asymptotic behavior of a thin clamped circular plate under uniform normal pressure at very large deflection. Sci. Rep. Nat. Tsing Hua Univ. Ser. 5 (1948). 71–94.

    Google Scholar 

  4. JiangFuru. Unsymmetrical bending of annular and circular thin plates under various supports (I), Appl. Math. and Mech. (English Ed.), 3, 5 (1982), 683–695.

    Google Scholar 

  5. JiangFuru, Unsymmetrical bending of annular and circular thin plates under various supports (II), Appl. Math. and Mech. (English Ed.), 5, 2 (1984), 1173–1184.

    Google Scholar 

  6. QinShengli and HuangJiayin. The problems of the nonlinear unsymmetrical bending for cylindrically orthotropic circular plate (I). Appl. Math. and Mech. (English Ed.), 15, 8 (1994), 779–796.

    Google Scholar 

  7. ZhouCiqing. Nonlinear bending for the orthotropic rectangular thin plates under various supports, Appl. Math. and Mech. (English Ed.) 5, 3 (1984), 419–436.

    Google Scholar 

  8. R. E. O'Mally, Introduction to Singular Perturbations, Academic Press (1974).

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Communicated by Jiang Furu

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Jiayin, H., Shengli, Q. The problems of nonlinear bending for orthotropic rectangular plate with four clamped edges. Appl Math Mech 17, 221–246 (1996). https://doi.org/10.1007/BF00193619

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  • DOI: https://doi.org/10.1007/BF00193619

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