基于随机变量的大坝自振频率计算  

Computation of Natural Vibration Frequency of High Dam Based on Random Variable

作　　者：曹志翔[1,2] 朱学佳[2] 曹秀丽[2] 林俊[3] 

机构地区：[1]西藏农牧学院水利与土木工程学院,西藏林芝860000 [2]河海大学土木与交通学院,江苏南京210098 [3]墨尔本大学技术管理系

出　　处：《水电能源科学》2012年第1期37-39,共3页Water Resources and Power

基　　金：211工程师资队伍建设基金资助项目(SZTD-211-03)

摘　　要：针对地震对水工结构的作用输入及结构的地震响应机理的复杂性,基于随机动力学分析理论,采用结构动力学基本方程,构建了考虑动力水作用、地震时地面加速度及结构自身弹性模量等随机变量的结构自振频率数学模型,并应用于某双曲高拱坝中。数值计算结果表明,不同振型对应的结构自振频率均值有一定的变化规律,而变异系数变化不大,但两者具有一定的相关性,均受随机输入变量的影响,且表现出相同的随机性。为进一步研究强地震荷载下高库大坝结构的破坏机理提供了参考。On account of complex mechanism of input earthquakes and structure response, and based on the theory of stochastic dynamics analysis, the basic dynamics equations of structure is applied to establish the mathematical model of natural frequency of the structure by considering the random variables, such as dynamic water pressure, earthquake ground acceleration and elastic modulus of the structure. And then the model is applied to a certain doubl^curvature high arch dam. Numerical results show that the average value of natural vibration frequency in different vibration type has a certain change rule, but the coefficient of variation changes small and the two natural frequency of average value and coef ficient of variation have a certain correlation; the common characteristics of randomness is affected by random input varia ble. Therefore, it provides reference for studying dam failure mechanism under seismic load.

关 键 词：高库大坝 自振频率 随机变量 附加质量矩阵 变异系数 

分 类 号：TV312[水利工程—水工结构工程] TV62