INVESTIGATION OF PLATE AND SHELL MODELS BY MATRICES,
Abstract
Grid models for arbitary triangular and trapezoidal shapes are developed, and the effect of shear deformation in bending problems is included. A straightforward method for the application of Hrennikoff's models to shell problems was derived. Due to the scope of the problem the work is linited to cylindrical shells,, but there should be no essential difficulty in extrapolating the method with the aid of the catalogue of Hrennikoff-models given at the end of Chapter 2 to other types of shells. Also a concise method for the derivation of the stiffness-matrix for Hrennikoff's model is developed. Finally certain basic problems concerning the lumped parameter technique which is ordinarily employed in conjuction with grid models for vibration problems, and the case of random-vibrations which we deal with via the frequency response of the structure which is obtained by transfer matrix methods. Together with a brief statement concerning the use of transfer matrices for problems in dynamic stability these additional topics are discussed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1963
- Accession Number
- AD0434846
Entities
People
- Eduard Pestel