THE APPLICATION OF THE SMOOTH-SURFACE INTERPOLATION TECHNIQUE TO THE FINITE-ELEMENT ANALYSIS OF THIN PLATES,
Abstract
The report introduces two new developments concerning the finite-element displacement method for analysis of plate bending. Both are restricted to plates which are subdivided to rectangular meshes. The first analysis makes use of the twelve degrees of freedom stiffness and mass matrices which are derived based on the fully compatible smooth-surface interpolation functions developed recently by Birkhoff and Garabedian. The second development is a modified displacement method which through the spline-interpolation procedure reduces the order of the associated matrices by eliminating the first derivatives at the nodes as generalized coordinates. Numerical results are included for both static and free vibration problems. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1966
- Accession Number
- AD0643870
Entities
People
- Alexander L. Deak
- Theodore H. H. Pian
Organizations
- Massachusetts Institute of Technology