摘要
在地震行波输入下,双单自由度体系结构由于行波激励引起的不同向振动会导致较大的相对位移。基于随机振动理论方法,首先推导行波输入下双单自由度体系结构最大振动的相对位移公式,然后分析该结构的结构动力特性对相关系数的影响。研究结果表明:结构的相关系数及其幅值会随着两相邻结构基本周期数值的接近而增大,相关系数会随着结构阻尼比的增大而增大。然后在相关系数的幅值特性进行研究和参数分析结果的基础上提出了最小周期比限值拟合曲线,结果表明当双单自由度体系结构的最小周期比小于最小周期比限值时,系统的最大振动相对位移计算公式中可以忽略相关系数的影响,从而使计算大为简化。最后通过工程实例描述最大振动相对位移计算公式的工程应用。研究结果对该类体系结构在实际工程中的应用具有一定的理论和指导意义。
In the traveling seismic wave input, a greater relative displacement of two single-degree-of-freedom systems were caused due to different vibrations. Based on the theory of random vibration method, the maximum vibration displacement formula was deduced and the correlation coefficient was studied. Analysis results show that when the two adjacent structure natural periods are more close, the correlation coefficient and its amplitude are bigger, and when the difference of natural periods is great, correlation coefficient is small; The damping ratio is higher when the correlation coefficients is larger. Based on the correlation coefficient amplitude characteristic research and the results of parameter analysis, the curve fitting of minimal period ratio Limit value was put forward. When the minimal period ratio of the two single degree of freedom systems is less than its limit value, the maximum vibration displacement calculation formula may can ignore the effect of correlation coefficient. Finally, through an example the engineering application of the maximum vibration displacement formula was demonstrated. The results of this study have certain theoretical significance and guidance on the application in actual project.
出处
《中南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2013年第8期3512-3519,共8页
Journal of Central South University:Science and Technology
基金
国家自然科学基金资助项目(50578118)
福建省教育厅A类科技项目(JA11237)
关键词
双单自由度体系结构
振动相对位移
行波
相关系数
地震
two single-degree-of-freedom system
dynamic relative displacement
traveling waves
correlationcoefficients
earthquake
