Differential quadrature solution for the free vibration analysis of laminated conical shells with variable stiffness

Chih Ping Wu, Chia Ying Lee

研究成果: Article同行評審

91 引文 斯高帕斯(Scopus)

摘要

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.

原文English
頁(從 - 到)1853-1869
頁數17
期刊International Journal of Mechanical Sciences
43
發行號8
DOIs
出版狀態Published - 2001 八月

All Science Journal Classification (ASJC) codes

  • 土木與結構工程
  • 材料科學(全部)
  • 凝聚態物理學
  • 材料力學
  • 機械工業

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