Solving a vibrational equation for partially embedded beams using a Galerkin-based closed-form solution?

08 May 2024 0 946 Report

How to solve the equation of motion of partially embedded Timoshenko or Euler-Bernoulli beams in Winkler foundations (see figure) using a Galerkin-based closed-form solution [1]

Reference

[1] LIU, Yun Fei et WANG, Yan Qing. Thermo-electro-mechanical vibrations of porous functionally graded piezoelectric nanoshells. Nanomaterials, 2019, vol. 9, no 2, p. 301. DOI:10.3390/nano9020301

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