Skip to main content
SpringerLink
Log in

Basic equations of the problem of the nonlinear unsymmetrical bending for orthotropic rectangular thin plate with variable thickness

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

Under the case of ignoring the body forces and considering components caused by diversion of membrane in vertical direction (z-direction), the constitutive equations of the problem of the nonlinear unsymmetrical bending for orthotropic rectangular thin plate with variable thickness are given; then introducing the dimensionless variables and three small parameters, the dimensionaless governing equations of the deflection function and stress function are given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. QIN Sheng-li, HUANG Jia-yin. The problems of the nonlinear unsymmetrical bending for cylidrically orthotropic circular plate (I) [J].Applied Mathematics and Mechanics (English Edition), 1994,15(8): 779–796.

    MathSciNet  Google Scholar 

  2. HUANG Jia-yin, QIN Sheng-li, Xia Yun-jie,et al. The problems of the nonlinear unsymmetrical bending for cylidrically orthotropic circular plate (II) [J].Applied Mathematics and Mechanics (English Edition), 1995,16(11): 1079–1094.

    MathSciNet  Google Scholar 

  3. HUANG Jia-yin, QIN Sheng-li. The problems of nonlinear bending for orthotropic rectangular plate with four clamped edges[J].Applied Mathematics and Mechanics (English Edition), 1996,17(3): 221–246.

    Google Scholar 

  4. QIN Sheng-li, ZHANG Ai-shu. On the jumping problems of a circular thin plate with initial deflection[J].Applied Mathematics and Mechanics (English Edition), 1987,8(5): 447–458.

    Article  Google Scholar 

  5. ZHOU Ci-qing. Nonlinear bending for orthotropic rectangular thin plates under various supports[J].Applied Mathematics and Mechanics (English Edition), 1984,5(3): 1383–1397.

    Article  MathSciNet  Google Scholar 

  6. HE Fu-bao.Theory of Plate and Shell[M]. Xi' an: Xi' an Jiaotong University Press, 1993. (in Chinese)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, College of Science and Engineering, Qindao University, 266071, Qindao, P.R. China

    Huang Jia-yin

Authors
  1. Huang Jia-yin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by JIANG Fu-ru, Original Member of Editorial Committee, AMM

Foundation item: the Qingdao Natural Science Foundation of China

Biography: HUANG Jia-yin (1956≈), Professor, Master

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jia-yin, H. Basic equations of the problem of the nonlinear unsymmetrical bending for orthotropic rectangular thin plate with variable thickness. Appl Math Mech 25, 812–816 (2004). https://doi.org/10.1007/BF02437574

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02437574

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

Search

Navigation