Static and free vibration analysis of straight and circular beams on elastic foundation

Static and free vibration analyses of straight and circular beams on elastic foundation are investigated. The Timoshenko beam theory is adopted in the derivation of the governing equation. Ordinary differential equations in scalar form obtained in the Laplace domain are solved numerically using the complementary functions method. The static and free vibration analyses of beams on elastic foundation are analyzed through various examples.

Research highlights▶ Static and free vibration analysis of beam on elastic foundation are investigated. ▶ Free vibration of straight beams is affected by the L/h ratio and spring constants. ▶ Opening angles and R/h ratios affect the free vibration of circular beam.