**62**, 1, pp. 33-59, 2014

### An Alternative Approach of Initial Stability Analysis of Kirchhoff Plates by the Boundary Element Method

domain integral equations. The constant type of boundary element are used. The singular and non-singular formulation of the boundary-domain integral equations with one and two collocation points associated with a single boundary element located at a plate edge are presented. To establish a plate curvature by double differentiation of basic boundary-domain integral equation, a plate domain is divided into rectangular sub-domains associated with suitable collocation points. A plate curvature can also be establish by considering three collocation points located in close proximity to each other along line parallel to one of the two axes of global coordinate system and establishment of appropriate differential operators.

**Keywords**: the boundary element method, Kirchhoff plates, initial stability, fundamental solution.

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