| 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 |
