摘要
悬索桥自振特性分析是研究悬索桥抗风、抗震以及其它动力效应的基础.考虑加劲梁的压弯效应,计入大缆倾角和纵向位移的影响,基于大位移不完全广义势能泛函分析,运用变分原理推导了双塔三跨连续自锚式悬索桥加劲梁的自由振动微分方程,并根据简化后的微分方程得到自锚式悬索桥纵向和竖向频率计算公式,最后通过两个算例验证公式基本合理.
The study of the character istics of suspensions free vibrations is basic to the analysis of shock resistance, wind resistance and so on. Considering the effect of coupling of flexural and axial action, big cable tilt angle and cable longitudinal displacement, based on functional analysis, and by applying the variation method, this paper draws free vibrations differential equation of double towers and three continuous spans self - anchored suspension bridges. According to simplistic differential equation, the paper establishes the formula which can calculate self- anchored longitudinal vibration and vertical vibration frequency. Finally, through tow examples to check the formulas, they are proved right.
出处
《郑州大学学报（工学版）》
CAS
2008年第1期61-65,共5页
Journal of Zhengzhou University（Engineering Science）
关键词
自锚悬索桥
自由振动
泛函变分
频率公式
self- anchored suspension bridge
free vibration
functional analysis
frequency formula
