The floating slab track (FST ) was regarded as a periodic-infinite track structure . Under the action of the harmonic moving load , utilizing the characteristics of dynamic response of the periodic structure , the mathematical modal of FST rail response in the frequency domain was introduced and the rail response in the frequency domain was expressed by series superposition of the mathematical modal . Under the action of a sin-gle unit harmonic moving load , and on the basis of the series expression of rail response in the frequency do-main , the coupling of the rail and the slab could be accomplished in the periodic track range corresponding to one complete slab and the vibration response within the periodic range could be solved ;then the vibration re-sponse of the whole FST structure could be obtained by expanding that of the solved periodic range . The FST vibration response under series of moving loads containing multiple frequency components could also be ob-tained through the superposition principle . The correctness of the proposed algorithm was verified through comparison with other method solving the same problem . Researches show that the proposed algorithm is su-perior in calculation speeds ,good and reasonable in calculation results ,which can well reflect the structural characteristics and dynamic performance of FST .%视浮置板轨道为周期无限轨道结构，在移动谐振荷载作用下，运用周期结构响应的性质，引入浮置板轨道钢轨频域内响应的数学模态，将钢轨频域内的响应运用数学模态的级数叠加表达。在单个单位移动谐振荷载作用下，以钢轨频域响应的级数表达为基础，可只在一个完整板长对应的周期范围内完成钢轨与浮置板的耦合，解得该范围内的振动响应；而整个轨道结构的振动响应可由求解范围内的振动响应进行扩展得到。运用叠加原理，可求得系列、多频率成分荷载引起的浮置板轨道振动响应。与其他方法对相同问题计算结果的横向比较，验证了算法的正确性。研究结果表明：算法计算速度优越，且计算结果良好、合理，能很好地反映浮置板轨道的结构特点及动力性能。
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