PROPAGATION OF ELASTIC WAVES IN THIN PLATES. PART II. AN ANALYTICAL STUDY OF ELASTIC WAVES USING APPROXIMATE EQUATIONS OF MOTION
A problem of symmetrical stress waves propagating in a thin plate with a small circular hole at the center is solved by the method of characteristics. Initial conditions considered are uniform radial stress applied at the boundary of the hole as a step function of time; a uniform radial stress applied at the boundary of the hole as a rectangular pulse; a uniform radial stress applied at the boundary of the hole as a half sine wave; and a uniform particle velocity applied at the boundary of the hole as a single cycle, sinusoidal function of time. The results obtained for the first condition are compared with earlier results obtained by using Laplace transform theory. The two methods of solution give identical results. From this, it is concluded that the accuracy of the method of characteristics is adequate for investigating problems in which other types of initial conditions are involved. It is found that the decay of stress, strain, and particle velocity with distance from the boundary of the hole, depends significantly upon the nature of the initial conditions. (auth)
- Research Organization:
- Texas. Univ., Austin. STructural Mechanics Research Lab.
- NSA Number:
- NSA-15-017393
- OSTI ID:
- 4036560
- Report Number(s):
- TID-12299
- Country of Publication:
- United States
- Language:
- English
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