多跨连续梁弯曲自由振动的波动解法

Wave motion solution to free bending vibration of multi-span beam

建立了连续梁自由振动的波动分析方法。通过Fourier变换,将时域内描述波动场的偏微分方程及其边界条件转换成频域内的常微分方程及相应的边界条件,得到频域解后,再通过Fourier反变换得到原问题的时域解。最后,给出了具体的算例。

Wave motion analysis method for continuous beam is established.By Fourier transform,the partial differential equations and boundary conditions in time domain presenting wave motion fields are changed into normal differential equations and corresponding boundary conditions in frequency domain.Then by inverse Fourier transform,the solution in frequency domain is transformed into time domain,thus the original solution in time domain is obtained.Finally,a specific example is demonstrated.