AN INTEGRATED PROCEDURE FOR SEISMIC RESPONSE ANALYSIS OF STRUCTURES USING DIFFERENTIAL QUADRATURE METHOD

Abstract eng:
The current linear and nonlinear seismic response analysis approaches are based generally on the numerical approximation step-by-step procedures in practice, and huge computational effort is usually required in order to achieve the desired level of accuracy over the range of time for which the response is needed. However, higher efficiency is the final objective developing the analysis procedures in the same requirements of numerical stability and numerical accuracy. In this paper, a numerical time-stepping procedure is developed for the solution of equations governing the motion of a multi-degree-of-freedom system subjected to earthquake induced ground acceleration on the basis of the differential quadrature (DQ) rule. Initially the history of the seismic ground motion and the structural dynamic responses are divided into a sequence of time intervals in which the DQ analysis procedure will be carried out for evaluation of the seismic response, and the ground acceleration function is constructed over each interval by piecewise linear interpolations. Then each interval is divided into a set of time step once again, and the final responses of velocity and acceleration are expressed approximately as a weighted linear sum of the initial conditions and the response of displacement at the discrete points over the interval by using the DQ rule. The formulae for the quadrature solution of the differential equations of motion are deduced so that the history of the dynamic response of the system could be calculated in the time-stepping procedure using the DQ method. Finally a two-story shear frame structure is employed for numerical illustration, results show that this DQ analysis procedure may achieve a high order of accuracy when the lengths of the time intervals and the discrete points over each interval are chosen properly.

• Export as: BibTeX | MARC | MARCXML | DC | EndNote | NLM | RefWorks
• Add to your basket