DYNAMIC RESPONSE OF THE 6-FOOT DIAMETER SHOCK TUBE TO A CONSTANT VELOCITY PRESSURE FRONT
Abstract
The problem of determining the dynamic effect of an internal nondecaying pressure front which moves ith constant velocity parallel to the axis of a circular tube is treated. It was known that the equations for the problem of a beam resting on an elastic foundation are equivalent to those for a circular tube, after a simple replacement o constant terms. Thereafter, the equivalent beam problem is considered with both infinite and finite lengths. The finite beam is investigated with two types of boundary conditions: both ends simply supported, and both ends fixed. Viscous damping is considered for the infinite beam. The effects of shear and rotatory inertia are neglected in all cases. It is shown that the dynamic factors for the infinite and finite beams are nearly identical, and the solution for one circular tube is obtained on the basis of an equivalent infinite beam. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1961
- Accession Number
- AD0265896
Entities
People
- Sing-chih Tang
Organizations
- University of Michigan