Analytical solution to axisymmetric (torsion-free) and in-plane vibration of a layered elastic half space | |
| Author | Cao, Wei |
| Call Number | AIT Thesis no.ST-88-5 |
| Subject(s) | Torsion free Abelian groups Structural dynamics |
| Note | A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Engineering and Technology |
| Publisher | Asian Institute of Technology |
| Abstract | The subject of the study is development of a rational solution algorithm for the time- harmonic vibration of a layered half space. Both in-plane and three dimensional axisymmetric cases are considered. Results obtained in this investigation are used to check with those by other method, e.g. Finite Element Method & Infinite Element Methods. An implicit scheme with large, complex matrices for solving eigenvalues is developed to find Rayleigh wavenumber and related Rayleigh surface wave terms. For the case of body wave term, analytical expressions are derived for both in-plane and three dimensional axisymmetric problems. In the first case, the solution is obtained in terms of infinite integrals through use of Fourier transform, while in the second case, problems are solved by introducing two scalar potential functions and using of Hankel transforms. An implicit numerical integration scheme is developed for the infinite integrals. These integrals are improper due to both the infinity of the upper limit of integration and the poles of the integrands. A program written in FORTRAN is developed to get numerical results. The Gauss elimination method is used to solve simultaneous linear algebraic equation systems, while the Simpson's role is employed to evaluate the infinite integrals. Several illustrative examples are given to verify the validity of the present formulation. Results are decomposed into surface wave terms and body wave terms. Their behaviour at the far field is important for further application, e .g. checking with the results obtained by Infinite Element Method. |
| Year | 1988 |
| Type | Thesis |
| School | School of Engineering and Technology (SET) |
| Department | Other Field of Studies (No Department) |
| Academic Program/FoS | Structural Engineering (STE) /Former Name = Structural Engineering and Construction (ST) |
| Chairperson(s) | Karasudhi, Pisidhi |
| Examination Committee(s) | Hasegawa Akio ;Worsak Kanok-Nukulchai |
| Scholarship Donor(s) | DAAD |
| Degree | Thesis (M.Eng.) - Asian Institute of Technology, 1988 |