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This development contains two steps. First, the power spectral density of the wheel\u2013rail dynamic force is accurately obtained through the combination of the pseudo-excitation method and a vehicle\u2013slab-track\u2013ground theoretical model. Second, the nonstationary random ground vibrations are efficiently solved by combining the pseudo-excitation method and the two-and-a-half-dimensional finite element method, where the power spectral density of the wheel\u2013rail dynamic force obtained in the former step is used to constitute the pseudo-loads. In the numerical examples, the accuracy and efficiency of the proposed approach are validated through the comparison to the fast three-dimensional random method for train\u2013track\u2013soil system developed previously. The results show that the proposed approach can predict the train-induced random ground vibrations with sufficient accuracy and has three-to-five times increase in efficiency in comparison to the fast three-dimensional random method.<\/jats:p>","DOI":"10.1177\/1369433220934556","type":"journal-article","created":{"date-parts":[[2020,6,27]],"date-time":"2020-06-27T03:42:27Z","timestamp":1593229347000},"page":"3263-3277","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":10,"title":["A framework combining pseudo-excitation method and two-and-a-half-dimensional finite element method for random ground vibrations induced by high-speed trains"],"prefix":"10.1177","volume":"23","author":[{"given":"Lidong","family":"Wang","sequence":"first","affiliation":[{"name":"School of Civil Engineering, Changsha University of Science and Technology, Changsha, China"},{"name":"School of Civil Engineering, Central South University, 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