Analysis of transient response in piezoelectric laminatesby introducing the reduced-basis method
Huang Fen1; Han Xu1 ; Gong Shuang1; Huang Yonghui2
1 State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical andVehicle Engineering, Hunan University, Changsha 410082, China)(2 Changsha ZOOMLION Heavy Industry Science And Techonology Development CO. LTD, Changsha 410013, China
Abstract: The combination of reduced-basis method(RBM)、finite element method、Fourier transformation and Newmark direct integral method was introduced for the analysis of transient response of piezoelectric laminates subjected to coupled electro-mechanical loads. The laminates were discretized in the thickness direction by plate elements, and the governing equations were obtained. The governing equations in wavenumber domain were obtained by Fourier transformation. The Newmark direct integral method was employed to calculate the displacement responses and the potential responses in wavenumber domain. The reduced-basis method was introduced during the using of Newmark direct integral method and a reduced basis space was constructed. The equivalent stiffness matrix、mass matrix and load vector were projected into the space. The reduced Newmark formulation was obtained and the responses in wavenumber domain were calculated efficiency. The transient responses were obtained by using the inverse Fourier transformation. The results of the numerical example provide the transient responses excited by the coupled electro-mechanical line load in a PZT-5A/0°PVDF composite plate. The transient responses of piezoelectric laminates can be performed efficiently and accurately by employing the reduced-basis method.