Calculating Flexure and Stability of Rectangular and Nonrectangular Anisotropic Plates by the Differential Difference Method,
Abstract
The differential equation of flexure and stability of an elastic anisotropic plate contains odd partial derivatives along with the even partial derivatives with respect to both variables. This does not permit direct application of the generally known and well-tested method of double and single trigonometric series for calculation of flexure and stability of such plates. Use of variation methods is connected with the necessity of approximating the solution of the problem by well-selected functions known in advance and partially or completely satisfying the boundary conditions. With the exception of individual special cases, this is very difficult to do for anisotropic plates. Thus, at the present time, it is obvously necessary to consider numerical methods more efficient for calculating flexure and stability of anisotropic plates. One of them is the differential-difference method or the method of 'straight lines'. In a given reference, this method was extended to the problem of flexure and stability of orthotropic rectangular plates. An effort is made to demonstrate the possibility of successful application of the differential-difference method for solving the stated problem. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 27, 1970
- Accession Number
- AD0716979
Entities
People
- Yu. P. Petrov
Organizations
- National Air and Space Intelligence Center