为求解固定谐振荷载激励下浮置板轨道的动力响应,引入广义波数,将浮置板轨道视为无限长的周期性结构,并在广义波数域内将其在固定谐振荷载激励下的动力响应映射到轨道的1个几何周期范围内,通过求解该几何周期范围内的轨道动力响应进而得到无限长轨道的动力响应.运用提出的方法计算和分析浮置板轨道的动力特性,结果表明:浮置板轨道存在明显的板端效应,即固定谐振荷载激励下引发的振动沿轨道纵向传播时,轨道板板端处的动力响应出现放大现象,其数值甚至大于同一位置处钢轨的动力响应;由固定谐振荷载引发的沿轨道纵向传播的振动在传播过程中的衰减随固定谐振荷载激励频率的不同而不同,频率在0~8及40~1 000 Hz频段内的固定谐振荷载所引发的振动衰减较快,而频率在8~40 Hz频段内的荷载所引发的振动衰减相对缓慢.
Generalized wavenumber was introduced to solve the dynamic response of the floating slab track (FST) under the excitation of fixed harmonic load. FST was regarded as an infinite and periodic structure, and the dynamic response under the excitation of fixed harmonic load was mapped into a single geometric period of track in generalized wavenumber domain. Then the dynamic response of infinite track could be obtained through solving the track dynamic response in the geometric period. The proposed method was a- dopted to calculate and analyze FST dynamic characteristics. The results show that significant slab end effect exists in FST structure, i. e. , under the excitation of fixed harmonic load, the dynamic response at the end of slab will appear amplification phenomenon in the propagation of vibration along the longitudinal direction of track, and it even becomes greater than that of rail at the same location. The attenuation of vi- bration caused by fixed harmonic load along the longitudinal direction of track differs with the excitation frequency of fixed harmonic load during propagation process. The vibration attenuation induced by fixed harmonic load is faster when the frequency is in the bands of 0~8 and 40~1 000 Hz, but is relatively slow when the frequency is in the bands of 8~40 Hz.