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| DQ-IQ hybrid method for structure vibration analysis of beam structure under pedestrian loading |
| Received:November 14, 2017 Revised:April 22, 2018 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20171114004 |
| KeyWord:beam structure Dirac function partial differential equation DQ-IQ hybrid method |
| Author | Institution |
| 张琼 |
兰州理工大学 防震减灾研究所, 兰州 |
| 南娜娜 |
兰州理工大学 防震减灾研究所, 兰州 |
| 朱前坤 |
兰州理工大学 防震减灾研究所, 兰州 ;大连理工大学 建设工程学部, 大连 |
| 杜永峰 |
兰州理工大学 防震减灾研究所, 兰州 |
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| Abstract: |
| This paper evaluates the vibration serviceability of a girder beam structure under a moving load.Its vibration control equation is a partial differential equation containing Dirac function.Dirac function is discretized by IQ method for time-dependent and the control equation is transformed into a differential equation with constant coefficients of the second order by DQ method.The solution to the differential equation is obtained by using Newmark algorithm.Differential quadrature-integral quadrature hybrid method is used for solving the vibration response of a beam under the action of pedestrians.Take a steel corridor as an example.The natural frequencies of the structure are calculated by DQ method and compared with the analytical solution to illustrate the accuracy of node selection and boundary conditions.The corridor responses at different walking frequencies under corridor response are calculated by using the hybrid DQ-IQ method and modal superposition method,which verify the reliability and accuracy of the DQ-IQ hybrid method.The DQ-IQ hybrid method also can be applied to vibration analysis of a structure under other moving loads such as the dynamic responses of pavements or bridges under vehicle loads. |