ZHONG Hao, XIANG Tianyu. A Transfer Matrix Algorithm for Vertical Free Vibration of Suspension Bridges[J]. Applied Mathematics and Mechanics, 2019, 40(9): 991-999. doi: 10.21656/1000-0887.390221
Citation: ZHONG Hao, XIANG Tianyu. A Transfer Matrix Algorithm for Vertical Free Vibration of Suspension Bridges[J]. Applied Mathematics and Mechanics, 2019, 40(9): 991-999. doi: 10.21656/1000-0887.390221

A Transfer Matrix Algorithm for Vertical Free Vibration of Suspension Bridges

doi: 10.21656/1000-0887.390221
Funds:  The National Natural Science Foundation of China(51678030)
  • Received Date: 2018-08-22
  • Rev Recd Date: 2019-01-15
  • Publish Date: 2019-09-01
  • A transfer matrix algorithm was proposed for the solution of vertical free vibration of suspension bridges. First, a solution scheme was presented for the governing differential equation of vertical free vibration of suspension bridges, in which the analytic expression of structural free vibration was deduced directly. On this basis, the transfer matrix of the vertical free vibration was obtained. With this method, the problem of vertical free vibration of both the uniform-cross-section and the nonuniform-cross-section suspension bridges was studied. The research results indicate that the transfer matrix algorithm is efficient for the analysis of the vertical free vibration of suspension bridges, and has specific advantages in dealing with the nonuniform-cross-section problem. The work makes a good reference for the dynamic analysis of suspension bridges in the concept design stage.
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