Waves in an elastic plate with an irregular boundary |
| |
| Authors: | J H Sumner H Deresiewicz |
| |
| Institution: | (1) Department of Mechanical Engineering, The Cooper Union, New York, New York;(2) Department of Mechanical Engineering, Columbia University, New York, New York |
| |
| Abstract: | Summary Green's function corresponding to the displacements for anSH-line source inside a wedge shaped medium finite or infinite in which the density  and the elastic parameter  are not constant throughout but some class of function ofr, the radial distance (i.e. and satisfy some differential equation) has been obtained. The paths of propagation of the cylindrical waves, their reflections on different boundaries and their continuous refractions within the medium has been clearly established. The scattered field from the different parts of the body have been pointed out with prescribed distribution of and in this inhomogeneous wedge. It is shown that for some distribution of and the rays are curved and the reflections at the two plane boundaries occur in such a way that no ray will go to infinity by reflection, rather they are coming back towards the apex after suitable number of reflections with variable intensity. Also there are some distributions of and in the same class as mentioned earlier, such that the behaviour of the waves is similar to that in a homogeneous wedge, i.e. these waves will go to infinity by a suitable number of reflections and ultimately die out. The first case is quite unlike the usual homogeneous medium with non parallel boundaries and so care must be taken in computing the field within the nonhomogeneous medium within the non-parallel boundaries. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
