Electroelastic analysis of piezoelectric double curved-shells for spring board practice and gymnastic training via Levy-Type Method

In this work, a general electroelastic solution method is developed for size-dependent electric potential, deformation, strain and stress analysis of a piezoelectric double curved nanoshell using a shear deformable model and nonlocal elasticity theory for a Levy-type boundary condition through Eigenvalue- Eigenvector approach. The partial differential equations derived using principle of virtual work are reduced to ordinary differential equations after applying the Levy-type boundary condition. The general solution is derived using Eigenvalue-Eigenvector approach with applying the clamped-clamped boundary conditions. Accuracy of the proposed solution is justified through comparison with results of previous papers. The electroelastic deformation, strain and stress are presented in terms of scale parameter and initial voltage. The main novelty of the present paper is application of a more general solution method for investigating effect of various boundary conditions on the electro-elastic responses of the shell. Furthermore, an investigation on the effect of scale parameter associated with the Eringen nonlocal elasticity theory is studied on the deformation, strain and stress results.