论文标题
羔羊问题不均匀
The Lamb Problem with a Nonuniform String
论文作者
论文摘要
研究了振荡器与不连续质量密度的无限弦的振荡器的时间演变。结果表明，振荡器的运动方程式由于弦的点阻抗的频率依赖性而导致非线性特征方程式。然后，应用扰动理论的方法将特征方程式求解到扰动参数中的一阶。最后，通过绿色的功能方法获得振荡器对脉冲的响应。
The time evolution of an oscillator coupled to an infinite string with a discontinuous mass density is investigated. It is shown that the equation of motion of the oscillator leads to a nonlinear characteristic equation due to the frequency-dependent nature of the point impedance of the string. Then, the method of perturbation theory is applied to solve the characteristic equation to first order in perturbation parameter. Finally, response of the oscillator to an impulse is obtained by means of the Green's function method.
