Boundary element method applied to the analysis of thin plates |
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| Affiliation: | 1. Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, China;2. Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan;3. Department of Financial and Computational Mathematics, I-Shou University, Kaohsiung 84001, Taiwan;4. Department of Leisure and Recreation Management/ Ph.D. Program in Engineering Science, Chung Hua University, Hsin-Chu 30012, Taiwan;1. School of Physics and Mechanical & Electrical Engineering, Hubei University of Education, Wuhan 430205, China;2. Research Center for Astronomy, Hubei University of Education, Wuhan 430205, China;3. Institute of Astrophysics, Central China Normal University, Wuhan 430079, China |
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| Abstract: | The classic Kirchhoff plate theory is formulated through integral representation decomposing the biharmonic field equation in two coupled harmonic equations. Two domain integrals appear, one inherent to the problem and the other due to the previous decomposition. Both of them are evaluated defining equivalent boundary integrations, using collocation method in several points on the boundary and the domain. These equivalent integrations are the same as those involved in the integral representation of the Poisson equation, therefore no extra integrations are needed. |
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