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Novel boundary element method for resolving plate bending problems.

Song-ying Chen1, Le-qin Wang, Lei Jiao

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

Journal of Zhejiang University. Science
|September 6, 2003
PubMed
Summary

This study introduces a novel boundary contour method for plate bending problems, simplifying calculations by converting surface integrals to boundary computations. This approach avoids singularity issues and accurately solves plate bending scenarios.

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Area of Science:

  • Computational mechanics
  • Solid mechanics
  • Boundary element methods

Background:

  • Plate bending analysis is crucial in structural engineering.
  • Traditional boundary integral equation methods can involve complex singularity treatments.
  • Kirchhoff hypothesis is fundamental for thin plate bending theory.

Purpose of the Study:

  • To present an efficient boundary contour method for plate bending problems.
  • To eliminate the need for singularity and corner point treatments.
  • To enable accurate analysis of arbitrarily shaped curved plate elements.

Main Methods:

  • Exploiting the integrand divergence-free property of plate bending boundary integral equations.
  • Applying Stokes' Theorem to convert surface integrals to boundary computations.

Related Experiment Videos

  • Discretizing boundary points to calculate bending potential functions.

    • Main Results:

    • The boundary contour method successfully resolves plate bending problems.
    • Singularity and corner point issues are inherently avoided.
    • Accurate numerical results were obtained for various plate bending scenarios, validated against analytical solutions.

    Conclusions:

    • The proposed boundary contour method offers a simplified and effective approach for plate bending analysis.
    • The method's ability to handle complex geometries without singularity issues is a significant advantage.
    • This technique provides a robust alternative for computational structural mechanics.