Potential well evolution and metastable dynamics of bistable asymmetric laminated composite square shallow shell under external and parametric excitations

2021 ◽  
pp. 114936 ◽  
Author(s):  
T. Liu ◽  
W. Zhag ◽  
Y. Zheng ◽  
Y.F. Zhang ◽  
W. Zhao
2017 ◽  
Vol 24 (19) ◽  
pp. 4492-4504 ◽  
Author(s):  
R Talebitooti ◽  
MR Zarastvand ◽  
HD Gohari

This study applies shear deformation shallow shell theory to inspect the acoustic behavior of laminated composite infinitely long doubly curved shallow shells subject to a radiating oblique plane sound wave. Herewith, a procedure is developed to investigate sound transmission loss through this shell, clarified as a ratio of incident power to transmitted power in the existence of mean flow. In a further step, displacements are developed as a linear combination of the thickness coordinate to designate an analytical solution based on shear deformation shallow shell theory. Consequently, an exact solution for sound transmission loss is brought forward by combining acoustic wave equations as a result of wave propagation through this shell with doubly curved shell equations of motion. Afterwards, the accuracy of the present formulation (shear deformation shallow shell theory) is determined by comparing the achieved results with those available in the literature and some assumptions associated with the geometric specifications of the plate are investigated. Finally, because of the remarkable achievement of the current formulation results in reduction of noise transmission into such structures, some effective parameters on sound transmission loss are used in numerical results, to solve this problem.


2008 ◽  
Vol 75 (6) ◽  
Author(s):  
Renfu Li ◽  
George A. Kardomateas ◽  
George J. Simitses

This paper investigates the nonlinear dynamic response of a shallow sandwich shell subject to blast loading with consideration of core compressibility. The shallow shell consists of two laminated composite or metallic face sheets and an orthotropic compressible core. Experimental results and finite element simulations in literature have shown that the core exhibits considerable compressibility when a sandwich panel is subjected to impulse loading. To address this issue properly in the analysis, a new nonlinear compressible core model is proposed in the current work. The system of governing equations is derived by means of Hamilton’s principle in combination with the Reissner–Hellinger’s variational principle. The analytical solution for the simply supported shallow shell is formulated using an extended Galerkin procedure combined with the Laplace transform. Numerical results are presented. These results demonstrate that this advanced sandwich model can capture the transient responses such as the stress shock wave effect and the differences in the transient behaviors of the face sheets and the core when a sandwich shadow shell is subjected to a blast loading. However, in the steady state dynamic stage, all the displacements of the face sheets and the core tend to be identical. This model can be further used to study the energy absorption ability of the core and the effects of different material and geometrical parameters on the behaviors of sandwich structures subject to blast loading.


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