Numerical Solution of the Kirchhoff Plate Bending Problem with BEM | Zendy

V. V. Zozulya | Zendy

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Numerical Solution of the Kirchhoff Plate Bending Problem with BEM

Author(s) -

V. V. Zozulya

Publication year - 2011

Publication title -

isrn mechanical engineering

Language(s) - English

Resource type - Journals

eISSN - 2090-5130

pISSN - 2090-5122

DOI - 10.5402/2011/295904

Subject(s) - discretization , mathematics , collocation (remote sensing) , mathematical analysis , reciprocal , boundary (topology) , bending , boundary element method , integral equation , bending of plates , boundary value problem , collocation method , method of fundamental solutions , numerical analysis , singular boundary method , differential equation , finite element method , computer science , structural engineering , ordinary differential equation , engineering , linguistics , philosophy , machine learning

Direct approach based on Betty's reciprocal theorem is employed to obtain a general formulation of Kirchhoff plate bending problems in terms of the boundary integral equation (BIE) method. For spatial discretization a collocation method with linear boundary elements (BEs) is adopted. Analytical formulas for regular and divergent integrals calculation are presented. Numerical calculations that illustrate effectiveness of the proposed approach have been done.

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