Differential quadrature solution for the free vibration analysis of laminated conical shells with variable stiffness |
| |
Authors: | Chih-Ping Wu Chia-Ying Lee |
| |
Affiliation: | Department of Civil Engineering, National Cheng Kung University, Tainan 70101, Taiwan, ROC |
| |
Abstract: | The free vibration analysis of laminated conical shells with variable stiffness is presented using the method of differential quadrature (DQ). The stiffness coefficients are assumed to be functions of the circumferential coordinate that may be more close to the realistic applications. The first-order shear deformation shell theory is used to account for the effects of transverse shear deformations. In the DQ method, the governing equations and the corresponding boundary conditions are replaced by a system of simultaneously algebraic equations in terms of the function values of all the sampling points in the whole domain. These equations constitute a well-posed eigenvalue problem where the total number of equations is identical to that of unknowns and they can be solved readily. By vanishing the semivertex angle (α) of the conical shell, we can reduce the formulation of laminated conical shells to that of laminated cylindrical shells of which stiffness coefficients are the constants. Besides, the present formulation is also applicable to the analysis of annular plates by letting α=π/2. Illustrative examples are given to demonstrate the performance of the present DQ method for the analysis of various structures (annular plates, cylindrical shells and conical shells). The discrepancies between the analyses of laminated conical shells considering the constant stiffness and the variable stiffness are mainly concerned. |
| |
Keywords: | Vibration Natural frequency Conical shells The differential quadrature method The first-order shear deformation theory |
本文献已被 ScienceDirect 等数据库收录! |