Vibration suppression of truncated conical shells embedded with magnetostrictive layers based on first order shear deformation theory

Abstract

Vibration phenomena in mechanical structures including conical shells are usually undesirable. In order to overcome this problem, this study investigates active vibration control of isotropic truncated conical shells containing magnetostrictive actuators. The first-order shear deformation theory and the Hamilton principle are handled to obtain vibration equations. Moreover, a negative velocity feedback control law is used to actively suppress the vibration. The Ritz and modified Galerkin methods are utilized to obtain results of shell vibration. The results are validated by comparison with the results of literature and finite element software. Finally, the effects of control gain value, magnetostrictive layers thickness, isotropic layer thickness, length and semi-vertex angle of the conical shell on vibration suppression characteristics are obtained in details.

Active vibration control of rotating laminated composite truncated conical shells through magnetostrictive layers based on first-order shear deformation theory

“…Therefore, the total magnetic field H t is obtained as: Figure 3 shows the control diagram which includes actuator and sensor. (14) H t = H + H b…”

“…Chan et al [13] have presented the nonlinear dynamic and vibration responses of functionally graded conical panel with piezoelectric actuators resting on elastic foundations in thermal environment based on Galerkin and Runge-Kutta methods. Mohammadrezazadeh and Jafari [14] have presented active vibration control of isotropic conical shells with magnetostrictive layers. Moghaddam and Ahmadi [15] have studied active vibration control of functionally graded conical shells in conjunction with piezoelectric layers using a semi-analytical approach while the shell is under harmonic excitation.…”