document: Modeling of torsional vibration induced by extension-twisting coupling of anisotropic composite laminates with piezoelectric actuators In this paper we present a dynamic analytical model for the torsional vibration of an anisotropic piezoelectric laminate induced by the extension-twisting coupling effect . In the present approach , we use the Hamilton principle and a reduced bending stiffness method for the derivation of equations of motion . As a result , the in-plane displacements are not involved and the out-of-plane displacement of the laminate is the only quantity to be calculated . Therefore , the proposed method turns the twisting of a laminate with structural coupling into a simplified problem without losing its features . We give analytical solutions of the present model with harmonic excitation . A parametric study is performed to demonstrate the present approach
doc_bio_tags: O O B I O O O O O B I I O B I O O O O O O B I I O O B I O O B I I O O O O O O O O O O O O O O O B I O O B I I O O O O O B I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B O O O O B I O O O O O O O O O O O O O O O O O O B I O O B I O O O O O O O
extractive_keyphrases: torsional vibration anisotropic composite laminates piezoelectric actuators dynamic analytical model anisotropic piezoelectric laminate hamilton principle reduced bending stiffness equations of motion twisting structural coupling harmonic excitation parametric study
abstractive_keyphrases: extension -twisting coupling extension-twisting coupling effect in-plane displacements out-of-plane displacement composite laminate material anisotropy pzt