ASCE will be sunsetting the Civil Engineering Database (CEDB) in the coming months. We encourage you to start using the ASCE Library to perform content searches. In the ASCE Library, you can save your search results as well as receive email content alerts when new content relevant to your area of interest is published. Try it out today at https://ascelibrary.org.

 

An Analytical Solution to Free Vibration Problems of Cross-ply Laminated Thin Doubly-curved Shells

by Humayun R. H. Kabir, Engineering Mechanics Research, Troy, United States,



Document Type: Proceeding Paper

Part of: Mechanics Computing in 1990's and Beyond

Abstract:

Hitherto an unavailable analytical solution to the free vibration boundary value problems (b.v.ps.) of symmetric and antisymmetric cross-ply laminated thin doubly-curved shells of rectangular planform is presented. Sanders' kinematic relations that incorporate Classical Lamination Theory (Kirchhoff's theory) are considered into the formulation of shell theory. The thin shell is represented by three highly coupled fourth-order partial differential equations (P.d.es.) in terms of three unknowns. A novel solution methodology based on double Fourier series approach is developed to solve these P.d.es. for SS2 type Simply Supported Boundary Conditions (S.S.B.Cs.) at all four edges. Numerical results presented herein for various parametric effects including convergence should serve as baseline solutions for future comparison of such highly popular approximate numerical techniques as, e.g., finite element and finite difference methods.

Subject Headings: Laminated materials | Composite materials | Vibration | Numerical methods | Symmetry | Finite element method | Domain boundary

Services: Buy this book/Buy this article

 

Return to search