Navier Solution for Static Behavior Analysis of Smart FGP Beams on Pasternak Elastic Medium and Subjected to Electro-Mechanical Loads
摘要
In this report, smart functionally graded porous beams (smart FGP beams), consisting of a host FGP core bonded with two piezoelectric faces and contacting with a two-parameter Pasternak elastic medium foundation, are introduced. Importantly, static behavior analysis of such beams under electro-mechanical loads utilizing the Navier solution is presented for the first time. The equilibrium equations are derived based on the virtual work principle in conjunction with the sinusoidal shear deformation beam theory. The displacement and potential fields are analytically determined by Navier solution. The reliability of the proposed approach is validated by comparison with previous results of other authors. The deflection and axial stress of the beams under different combinations of electrical and mechanical loads are examined. Additionally, effects of porosity coefficients and elastic foundation parameters on the static characteristic of the smart FGP beams are investigated and commented.