Incremental Analysis of Nonlinear Structural Mechanics Problems with Applications to General Shell Structures
Abstract
The primary theme is the nonlinear behavior of shell structures. A general formulation that can be applied to all structures is derived and then specialized for application to shells through the development of a quadrilateral shell finite element. The formulation is in incremental form and is derived in terms of the material coordinate system. The quadrilateral shell element which is introduced uses the exact geometry of the shell surface in the computation of stiffness matrices and loads. A consistent method is used for transforming the element and its properties; this improves element effectiveness for application to branched and reinforced shells. The shell surface geometry is used in the enforcement of the continuity of displacements for satisfying the convergence requirements. The ability of the element to undergo rigid body motion without causing strains is examined by studying the eigenvalues of the stiffness matrix of an element.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1973
- Accession Number
- AD0769465
Entities
People
- David W Taylor
- Rembert F. Jones Jr.