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Reduction of degrees of freedom in the dynamic elastic-viscoplastic analysis | |
| Author | Widartawan, Stephen |
| Call Number | AIT Thesis no. 1344 |
| Subject(s) | Structural dynamics |
| Note | A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering of the Asian Institute of Technology, Bangkok, Thailand |
| Publisher | Asian Institute of Technology |
| Abstract | A formulation for the dynamic analysis of elastic-viscoplastic multi-story shear buildings is presented. An elastic-viscoplastic constitutive model capable of treating rate-sensitive and rate-insensitive materials is used. The Ritz method is employed to transform the original equations of motion to a reduced set of equations in the normal mode coordinates. The formulation results in uncoupling of the incremental equations of motion with respect to the modal coordinates. The Newmark integration method is used to solve the incremental equations of motion. An implicit second order Runge-Kutta scheme together with the Newton-Raphson iteration technique and the time step subdivision procedure are employed in solving the nonlinear constitutive equations. The results of the dynamic analysis using the proposed method are compared with those obtained by the direct method to study the effect of the number of normal modes on the maximum displacement, ductility requirement and energy dissipation response. Good agreements in the maximum displacement response are obtained even with a few lower modes. However, prediction of the ductility requirement response tends to under estimate the peak values when fewer modes are used. |
| Year | 1978 |
| Type | Thesis |
| School | Student Research Before 1979 |
| Department | Other Field of Studies (No Department) |
| Academic Program/FoS | Thesis (Year <=1979) |
| Chairperson(s) | Karasudhi, Pisidhi |
| Examination Committee(s) | Panitan Lukkunaprasit ; Usami, Tsutomu |
| Scholarship Donor(s) | The Government of Japan |
| Degree | Thesis (M.Eng.) - Asian Institute of Technology, 1978 |