多点输入反应谱中相关系数ρ<SUB>ijkl</SUB>的简化

多点输入反应谱中相关系数ρ_ijkl的简化

详细信息

Department of Civil Engineering, Tongji University, Shanghai 200092, China;2. Department of Civil Engineering, Southeast University, Key Lab of RC & PC Structure, Ministry of Education, Nanjing, Jiangsu 210096, China

摘要: 对多点输入反应谱计算公式中的相关系数进行了简化,简化从频响函数和积分的特性两方面进行。首先将H_i(ω)H_j(ω)^*写成实部与虚部和的形式,然后根据积分的特性,将相关系数中的积分次数由原来的i×j×k×l次(i、j为结构的振型个数;k、l为结构的支承点个数)减少到5×j×k×l次,仍为精确解,且计算时间大大缩短,使多点输入反应谱法的推广应用成为可能。
- 多点输入 /
- 反应谱法 /
- 相关系数 /
- 简化 /
- 频响函数
Abstract: The coherency coefficients in the multi-support response spectrum analysis are modified from two aspects:the characteristics of the frequency response function and the integral.First of all,H_i(ω)H_j(ω)^* is separated into real and image components.Then,according to the integral characteristic,the integration layers of the coherency coefficients ρ_ijkl are reduced from i×j×k×l(i、j are the numbers of the vibration mode;k、l are the numbers of the support)to 5×j×k×l,which shortens the calculated time but it is still accurate.The simplification makes the multi-support response spectrum analysis easier to conduct.
- multi-input excitation /
- response spectrum method /
- coherency coefficient /
- simplification /
- frequency response function