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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
【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。
【Abstract】 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 double-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 coefficient of variation have a certain correlation;the common characteristics of randomness is affected by random input variable.Therefore,it provides reference for studying dam failure mechanism under seismic load.
【Key words】 high dam; natural vibration frequency; random variable; additional mass matrix; variation coefficient;
- 【文献出处】 水电能源科学 ,Water Resources and Power , 编辑部邮箱 ,2012年01期
- 【分类号】TV64;TV312
- 【下载频次】81