Shape functions in the far field for vibration of multilayered viscoelastic half spaces | |
| Author | Oh, Keum-ho |
| Call Number | AIT Thesis no. ST-91-19 |
| Subject(s) | Viscoelasticity Function spaces |
| 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 | Closed form shape functions are formulated, for an infinite element algorithm for vibration of multilayere~ viscoelastic half spaces. Three fundamental problems have to be considered, i.e., a homogeneous half space, a homogeneous full space, and two different half spaces perfectly bonded together. Fourier transforms with respect to an in-plane coordinate are employed for plane problems, and Hankel transforms with respect to the radial cylindrical coordinate for three-dimensional space problems. Employing proper contours in the complex plane, applying the residue theorem and an accurate method for-approximating infinite integrals in the far field, the Cauchy's principal value of each infinite integral is obtained in a closed form. Each shape function obtained in such a way satisfies all analytical requirements on each interface between two adjacent infinite elements, and consists of a discrete surface wav.e and discrete body waves, i.e., pressure and shear waves. Each wave is outgoing, and written explicitly as a proouct of spatial oscillation, material attenuation, and geometrical attenuation (i.e., radiation). By introducing a new reference coordinate system properly, shape functions of radiating infinite elements are put in the same fonns as those of horizontal infinite elements. The number of degree of freedom at a node of such an infinite element is the same as the number of pertinent displacement components at that node. So a finite-infinite element algorithm employing such shape functions of infinite elements requires a similar treatment like any ordinary finite element algorithm. |
| Year | 1991 |
| 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) | Yamaguchi, Hiroki ;Kamol Vajarasathira |
| Scholarship Donor(s) | The Government of Germany (DAAD) |
| Degree | Thesis (M.Eng.) - Asian Institute of Technology, 1991 |