Transient Analysis of Stress Wave Penetration in a Plate Subjected to a Stress Pulse. Application of Symbolic Manipulation System to Ray Theory.

Currenty there are a number of general purpose computerized symbolic manipulation systems in use such as REDUCE, Mathematica and MACSYMA. These systems can significantly reduce the tedium of analytic calculation and increase its reliability. However, in general, the speed of symbolic computation is considerably slower than that of numerical computations. Therefore, more efficient methods for performing the symbolic operations to reduce the CPU time required are needed. In this paper, in the transient analysis of a stress wave, we show the relationship between the number of rays and the CPU time required in two analytical methods, Maclorin expansion and inverse matrix expansion, numerically and reveal that the method of inverse matrix expansion is more desirable