1 AIT Asian Institute of Technology

Reduction of degrees of freedom in the dynamic elastic-viscoplastic analysis

AuthorWidartawan, Stephen
Call NumberAIT Thesis no. 1344
Subject(s)Structural dynamics
NoteA thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering of the Asian Institute of Technology, Bangkok, Thailand
PublisherAsian Institute of Technology
AbstractA 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.
Year1978
TypeThesis
SchoolStudent Research Before 1979
DepartmentOther Field of Studies (No Department)
Academic Program/FoSThesis (Year <=1979)
Chairperson(s)Karasudhi, Pisidhi
Examination Committee(s)Panitan Lukkunaprasit ; Usami, Tsutomu
Scholarship Donor(s)The Government of Japan
DegreeThesis (M.Eng.) - Asian Institute of Technology, 1978


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