DYNAMIC STABILITY OF A ROD OF NONLINEAR ELASTIC MATERIAL,
Abstract
The author considers the dynamic stability of a rod supported by hinges when the connection between the stresses and the strains is taken in a form which provides a good approximation of the real diagrams for small strains. The problem is solved in the geometrically linear formulation. By introducing some simplifications, the author writes the equation of small oscillations of the rod and reduces the problem of dynamic stability to the investigation of the solution of Matheiu's equation. A graph is given which determines the region of dynamic instability and it is noted that the presence of physical nonlinearity considerably displaces the region of instability. The amplitude of the oscillations is determined by the method of Bubnov in a geometrically nonlinear formulation. The effect of taking geometrical and physical nonlinearity into account is investigated, and it is noted that the effect of the latter is the basic one.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 31, 1969
- Accession Number
- AD0695330
Entities
People
- I. A. Danilyak
Organizations
- National Air and Space Intelligence Center