Papers by Keyword: Truncation Error Analysis

Abstract: For seismic design of composite frame and reinforced concrete core hybrid structures in high-rise buildings, the response spectrum method is influenced to a large extent by mode combination rules and number of combined modes. The dynamic characteristics of composite frame and concrete core hybrid structures were studied through modal analysis, natural vibration periods and mode shape of hybrid structures had calculated and analyzed, the results show that the natural vibration frequencies are near, the complete quadratic combination of mode combination rule was recommended for avoiding higher order mode shape lose in the response spectrum method. The reasonable number of combined modes for response spectrum method were studied by truncation error analysis, it is proposed that more than 20 modes are combined. The results of the time history analysis und The three dimensional finite element er three earthquake waves were compared with results of response spectrum, indicating that the maximum response of hybrid structures can be obtained under reasonable mode number.

Abstract: A functional nodal method for numerical solution of a two-dimensional Helmholtz equation is considered. The method uses a compact 7-point difference scheme and provides continuity of averaged fluxes and the numerical solution. Truncation analysis of the difference scheme is done and it is shown that the considered difference scheme is of the 2nd order of precision inside the domain.