Abstract

Two methods for the solution of beams on variable two‐parameter elastic foundation are presented. The first is based on using the exact shape functions for beams on variable two‐parameter foundation, in order to obtain the stiffness, consistent mass, and geometric stiffness matrices. The second is based on using the cubic shape functions of a regular beam element and adding the contribution of the foundation as element foundation stiffness matrices. The two solutions are compared in an example that includes static, buckling, and vibration frequency analyses.

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