STUDYING THE BEHAVIOR OF SHELLS AND PLATES UPON IMPACT,
Abstract
Compiled are nonlinear dynamic equations of the theory of elasticity of thin shells and plates with consideration of inertia forces, corresponding to displacements in the center surface. To the number of such problems are included, for example, the problem of the behavior of cylindrical shells at longitudinal impact. Introduced is a dynamic function of stresses in the center surface of shell and flat panel. For a shell of arbitrary outline was obtained a system of three equations relative to the function of stresses, bending function, and tangent stress in center surface. Discussed are special cases of a circular cylindrical shell and flat panel. In static variant a system of differential equations is given which changes over into an ordinary system of equations of nonlinear theory of shells. When the nonlinear members are thrown away and in the assumption that initial bending is absent, it is possible to obtain basic equations of dynamic linear theory. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 11, 1965
- Accession Number
- AD0615871
Entities
People
- A. S. Volmir
- I. G. Kildibekov
Organizations
- National Air and Space Intelligence Center