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Winkler plate bending problems by a truly boundary-only boundary particle method

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Abstract

This paper makes the first attempt to use the boundary particle method (BPM) to solve the problems of Winkler plate under lateral loading. In this study, we find that the standard fundamental solution does not work well with the BPM. Instead we construct the modified singular fundamental solution, which satisfies the homogeneous governing equation of Winkler plate and is employed in the BPM to calculate the homogeneous solution. Unlike the other boundary discretization methods, the BPM does not require any inner nodes to evaluate the particular solution of inhomogeneous problems, since the method is a truly boundary-only meshfree technique by using the recursive composite multiple reciprocity technique. Our numerical experiments demonstrate efficiency and high accuracy of the BPM in the solution of Winkler plate bending problems.

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Authors and Affiliations

  1. Center for Numerical Simulation Software in Engineering and Sciences, Department of Engineering Mechanics, College of Civil Engineering, Hohai University, No.1 XiKang Road, 210098, Nanjing, Jiangsu, China

    Zhuojia Fu, Wen Chen & Wei Yang

Authors
  1. Zhuojia Fu
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  2. Wen Chen
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  3. Wei Yang
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Correspondence to Wen Chen.

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Fu, Z., Chen, W. & Yang, W. Winkler plate bending problems by a truly boundary-only boundary particle method. Comput Mech 44, 757–763 (2009). https://doi.org/10.1007/s00466-009-0411-6

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