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Novel boundary element method for resolving plate bending problems

  • Mechanics & Control Technology
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Abstract

This paper discusses the application of the boundary contour method for resolving plate bending problems. The exploitation of the integrand divergence free property of the plate bending boundary integral equation based on the Kirchhoff hypothesis and a very useful application of Stokes' Theorem are presented to convert surface integrals on boundary elements to the computation of bending potential functions on the discretized boundary points, even for curved surface elements of arbitrary shape. Singularity and treatment of the discontinued corner point are not needed at all. The evaluation of the physics variant at internal points is also shown in this article. Numerical results are presented for some plate bending problems and compared against analytical and previous solutions.

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Authors and Affiliations

  1. Institute of Chemical Machinery, Zhejiang University, 310027, Hangzhou, China

    Chen Song-ying, Wang Le-qin & Jiao Lei

  2. College of Mechanical Engineering, Shangdong University, 250061, Jinan, China

    Chen Song-ying

Authors
  1. Chen Song-ying
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  2. Wang Le-qin
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  3. Jiao Lei
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Project(No: ZE0208) supported by the National Science Foundation of Zhejiang Province, China

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Song-ying, C., Le-qin, W. & Lei, J. Novel boundary element method for resolving plate bending problems. J. Zhejiang Univ. Sci. A 4, 584–590 (2003). https://doi.org/10.1631/jzus.2003.0584

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  • DOI: https://doi.org/10.1631/jzus.2003.0584

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