【摘要】 基于剪切楔法,计入上游防渗面板的影响,推导了梯形断面Hardfill坝的运动微分方程.利用特殊函数——Liouville函数和合流超比函数进行求解,推导出Hardfill坝自振频率和振型的计算公式.根据自振频率和振型计算出Hardfill坝的振型参与系数,推导出在简谐波作用下的坝体加速度、速度和动位移的计算公式.通过计算实例,将基于剪切楔法的计算结果与有限元法的计算结果进行比较,证明了基于剪切楔法的Hardfill坝自振特性和动力反应理论计算公式的正确性.更多还原

【Abstract】 With consideration of the upstream seepage-proof facing panel,the vibration differential equation of the Hardfill dam with trapezoidal cross section was derived based on the shear wedge method.The formulas for the frequency and mode of free vibration of Hardfill dam were deduced by Liouville function and the confluence hypergeometric function.The vibration particitation coefficients of the Hardfill dam were calculated accordingly.The formulas for acceleration,speed and displacement of the dam excited by simple harmonic wave were deduced.Comparisons between the results of the shear wedge method and those of the finite element method prove the accuracy of the theoretical calculation formulas of free vibration and dynamic response of Hardfill dam by the shear wedge method.更多还原