Transfer function method for frequency response and damping effect of multilayer PCLD on cylindrical shell

4th Symposium on the Mechanics of Slender Structures

物理学;力学

Qiu, Q.^1 ; Fang, Z.P.^1 ; Wan, H.C.^1 ; Zheng, L.^1

State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing, China^1

关键词: Critical structures;    Cylindrical shell;    Dynamic equations;    Dynamic performance;    Hamilton principle;    Passive constrained layer damping;    Transfer function method;    Trigonometric series;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/448/1/012006/pdf
DOI  :  10.1088/1742-6596/448/1/012006

学科分类：力学，机械学

来源: IOP

【 摘 要 】

Based on the Donnell assumptions and linear visco-elastic theory, the constitutive equations of the cylindrical shell with multilayer Passive Constrained Layer Damping (PCLD) treatments are described. The motion equations and boundary conditions are derived by Hamilton principle. After trigonometric series expansion and Laplace transform, the state vector is introduced and the dynamic equations in state space are established. The transfer function method is used to solve the state equation. The dynamic performance including the natural frequency, the loss factor and the frequency response of clamped-clamped multi-layer PCLD cylindrical shell is obtained. The results show that multi-layer PCLD cylindrical shell is more effective than the traditional three-layer PCLD cylindrical shell in suppressing vibration and noise if the same amount of material is applied. It demonstrates a potential application of multi-layer PCLD treatments in many critical structures such as cabins of aircrafts, hulls of submarines and bodies of rockets and missiles.