A nonlinear vibration model of fiber metal laminated thin plate with amplitude dependent property

2020 ◽  
Vol 164 ◽  
pp. 107268
Author(s):  
Zhuo Xu ◽  
Zhi-jiang Gao ◽  
Si-qi Zhao ◽  
Yong-feng Zhang ◽  
Bang-chun Wen
2018 ◽  
Vol 94 (3) ◽  
pp. 2219-2241 ◽  
Author(s):  
Hui Li ◽  
Pengcheng Xue ◽  
Zhongwei Guan ◽  
Qingkai Han ◽  
Bangchun Wen

Author(s):  
Zhuo Xu ◽  
Hui Li ◽  
Wen-yu Wang ◽  
Yuan-ning Liu ◽  
Bang-chun Wen

In this paper, an inverse method to identify the mechanical parameters of fiber metal laminates is proposed on the basis of the measured and calculated frequency response functions. The classical laminates theory, orthogonal polynomial method, and energy method are employed to characterize the theoretical modal of a fiber metal-laminated thin plate under pulse excitation. And, an iterative solution on the basis of frequency response functions and least square method is proposed to identify the mechanical parameters of fiber metal laminates, which conclude the elastic modulus, Poisson's ratios, and loss factors. As an example to demonstrate the feasibility of the developed inverse method, the experimental test of a TA2/TC 300 fiber metal-laminated thin plate is implemented to identify the mechanical parameters. Moreover, the influences of approximation points and calculation step sizes on the identification accuracy and efficiency are discussed.


2013 ◽  
Vol 311 ◽  
pp. 105-110
Author(s):  
Shueei Muh Lin

In this study, the nonlinear vibration model of structure with cross support is established. The conventional structure without cross support is linear and easy to be investigated. Unfortunately, its dynamic stability and vibration due to earthquake excitation are usually not acceptable. For suppressing the structural vibration the cross support composed of the elastic connecting bar and damper is considered here. This is a passive control design. Beside, due to the supporting arrangement, the mathematical model of the structure is highly nonlinear. In this study, the analytical solution for this system is derived. Further, the effects of control parameters on the vibration response are investigated.


Author(s):  
Xiang-Ying Guo ◽  
Wei Zhang ◽  
Qian Wang

In order to compare nonlinear vibration response of the different enabled materials in the matrix of composites, the nonlinear vibrations of a composite plate reinforced with carbon nanotubes (CNT) are studied. In this paper, the carbon nanotubes are supposed to be long fibers. The nonlinear governing partial differential equations of motion for the composite rectangular thin plate are derived by using the Reddy’s third-order shear deformation plate theory, the von Karman type equation and the Hamilton’s principle. Then, the governing equations get reduced to ordinary differential equations in thickness direction with variable coefficients and these are solved by the Galerkin method. The case of 1:1 internal resonance is considered. The asymptotic perturbation method is employed to obtain the four-dimensional averaged equations. The numerical method is used to investigate the periodic and chaotic motions of the composite rectangular thin plate reinforced with carbon nanotubes. The results of numerical simulation demonstrate that there exist different kinds of periodic and chaotic motions of the composite plate under certain conditions. At last, the nonlinear vibration responses of the plate are compared with the same responses of angle-ply composite laminated plates.


2021 ◽  
Vol 168 ◽  
pp. 108297
Author(s):  
Hui Li ◽  
Zelin Li ◽  
Babak Safaei ◽  
Wanchong Rong ◽  
Wenyu Wang ◽  
...  

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