Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1900794 | Wave Motion | 2006 | 8 Pages |
Abstract
An approximate method is presented to determine the velocity of Rayleigh waves. The least-squares approximation is suggested to transform secular equations to quadratic equations. Several explicit expressions for the Rayleigh wave speeds are obtained, and the accuracy of a given approximation is within 0.14%. This method is further generalized to deal with other secular equations including quartic, quintic, or sextic secular equations. An example is given for an incompressible monoclinic half-space with symmetry plane x3 = 0 corresponding to a quartic secular equation, and approximate analytic expressions for the velocity of surface waves are determined explicitly.
Keywords
Related Topics
Physical Sciences and Engineering
Earth and Planetary Sciences
Geology
Authors
Xian-Fang Li,