建立带有钢轨吸振器的高速铁路高架结构板式轨道与桥梁垂向耦合振动模型,分析钢轨吸振器对轨道和桥梁结构垂向振动的影响。模型已考虑了钢轨吸振器、板式轨道结构及桥梁间的耦合作用。钢轨吸振器被视为两自由度的质量—弹簧系统,钢轨、轨道板和桥梁被视为多层叠合梁模型,彼此用弹簧阻尼元件联接。利用动柔度函数,得到吸振器—板式轨道—桥梁系统垂向振动响应的解析表达式,并以轮轨表面粗糙度谱作为激励求解模型的振动响应。研究结果表明:钢轨吸振器在180 Hz-300 Hz及700 Hz-1 000 Hz频段内对整个高架轨道系统的位移幅值及相位、振动衰减产生较明显的影响;同时,在轮轨表面粗糙度谱的激励下,带有钢轨吸振器的轮轨系统的轮轨力在pinnedpinned频率处明显减小,在前两阶自振主频附近钢轨吸振器对整个高架轨道系统结构振动的影响较明显。
The frequency-domain analysis model with a rail vibration absorber is established for analyzing the elevated slab-track and track-bridge coupled vertical vibration.The effect of the rail vibration absorber on the vertical vibrations of elevated railway and bridge is analyzed.The coupling effect of the absorber,rail,slab track and elevated bridge is considered.The absorber is modeled to be a mass- spring system with two degrees of freedom.The rail,slab track and elevated bridge are respectively considered as an infinitely long Timoshenko beam,an end-free Euler beam and a simply supported Euler beam,and they are connected one another with spring and damping elements.The vertical vibrations of the system are solved by dynamic flexibility functions.The effect of the absorber on the vertical vibration of the elevated railway is analyzed,and the vibrations of the elevated railway structures excited by the wheel- rail roughness spectra are obtained.The results show that,the absorber has a significant effect on the vibration decay and displacement amplitude and phase of the whole structures of the elevated railway in the frequency ranges of 180 Hz - 300 Hz and 700 Hz - 1 000 Hz.Under the excitation of wheel/rail roughness spectra,the absorber can reduce the wheel/rail force obviously at the"pinnedpinned"frequency of the rail and has an obvious effect on the whole structure of the elevated railway around its first and second order natural frequencies.