A rational formulation of an infinite element algorithm for vibrations of multilayered elastic half spaces | |
| Author | Vanissorn Vimonsatit |
| Call Number | AIT Thesis no.ST-87-34 |
| Subject(s) | Structural dynamics Finite element method |
| Note | A thesis study 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 | A formulation of an algorithm to solve three dimensional vibration of a multilayered isotropic elastic half space subjected to external excitation on a circular embedded bar is presented in this study. The half space is taken as consisting of a near field and a far field. The near field consisting of the cylinder and a finite region of the half space around it is modelled by conventional finite elements, while the far field covering t he rest of the half space is discretized into horizontal infinite elements and radiating infinite elements. Each element is divided such that it is homogeneous through its volume and having the nodes only at the interface between t he discretized near field and the far field. The displacement interpolation functions satisfy all requirements for compatibility and completeness, and are classified into three sets: (1) to represent t he node on the surface of the half space , (2) to represent the node on each interface of two materials and (3) to represent the node inside each homogeneous domain. Corresponding to these three displacement sets, the infinite elements can be classified into three types: (1) surface infinite element which is at the surface of the half space, (2 ) interface infinite element where a horizontal surface of this element is t he interface of two materials and (3) homogeneous infinite elements which are inside each homogeneous domain. The impedance matrix of each of these infinite elements is presented and shown that the infinite integrals appearing in the matrix can be analytically integrated. The proposed algorithm should prove to be very efficient and accurate in computation, since its formulation is based upon rationale and all major analytical requirements. |
| Year | 1987 |
| 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) | The French Government |
| Degree | Thesis (M.Eng.) - Asian Institute of Technology, 1987 |