考虑行波效应的二维框架结构的地震响应

Seismic response of plane frame structure considering the wave passage effect

运用波动方法研究二维框架结构的地震响应.对二维框架结构进行空间离散构造出被研究块体,建立被研究块体的动力学方程,推导空间离散段的段间内力与端部位移关系式;在时间域上交替运用被研究块体动力学平衡方程和段间内力与端部位移关系式进行递推计算,给出结构地震响应分析的波动方法.该方法易于求解考虑行波效应的结构地震响应问题.分别针对水平和竖向地震作用情况,分析了二维框架结构柱的剪力和梁端弯矩的行波效应.结果表明:考虑行波效应时,柱的剪力和梁端弯矩存在增大现象,一些柱的剪力或梁端弯矩甚至出现竖向地震作用比水平地震作用大的现象.框架结构的地震响应应该考虑竖向和水平地震的行波效应.

The wave-based method is presented in this article for the earthquake response of plane frame structure. The spatial discrete segments of plane frame structure are used to form the investigated lumps. The dynamic equations of the investigated lumps and the relations between interior forces and end displacements have been derived. By applying the dy- namic equations and the relations alternately in time domain, the wave-based method was presented for seismic response a- nalysis of plane frame structure. The method can be easily used to solve the problem of structural seismic response consid- ering wave passage effect by using the proposed method. Comparisons of the shear forces of columns with the bending moments of beams are carried out for a plane frame structure respectively subjected to horizontal and vertical seismic exci- tations. It showed that the effect of wave passage may lead the column shear forces and beam-end bending moments to an increase. Some column shear forces and beam-end bending moments caused by the vertical excitations are even greater than those caused by the horizontal excitations. So seismic wave passage effect should be considered for the seismic re sponse analyses of plane frame structure.