Electroelastic analysis of piezoelectric double curved-shells for spring board practice and gymnastic training via Levy-Type Method
Di Zhu,Andong Zhang,Mostafa Habibi,Mohammad Arefi
Abstract
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.
Key Words
double curved piezoelectric nanoshell; eigenvalue-eigenvector approach; levy type boundary condition; shear deformable model; size-dependent electroelastic behavior
Address
Di Zhu — Sports College, Shinhan University, Gyeonggi-do 11626, South Korea
Andong Zhang — Faculty of Education, Universitiy of Malaya, Kuala Lumpur 50603, Wilayah Persekutuan Kuala Lumpur, Malaysia
Mostafa Habibi — 1)Department of Biomaterials, Saveetha Dental College and Hospital, Saveetha Institute of Medical and Technical Sciences, Chennai 600 077, India 2)Universidad UTE, Facultad de Arquitectura y Urbanismo, Calle Rumipamba S/N y Bourgeois, Quito 170147, Ecuador 3)Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam
Mohammad Arefi — Department of Solid Mechanic, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, Iran
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