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Статья
2021

Analysis for Transverse Shake Vibration of High-Rise Buildings Based on Partial Differential Equation

Li LiLi Li, Raquel MartínezRaquel Martínez
Российский физический журнал
https://doi.org/10.1007/s11182-021-02307-4
Abstract / Full Text
Li, L., Martínez, R. Analysis for Transverse Shake Vibration of High-Rise Buildings Based on Partial Differential Equation. Russ Phys J 64, 118–129 (2021). https://doi.org/10.1007/s11182-021-02307-4

In order to overcome the problems of long analysis time, low accuracy, and high energy consumption in traditional lateral vibration analysis methods of high-rise buildings, a new method of lateral vibration analysis of high-rise buildings based on partial differential equation is proposed. Based on Hamilton’s principle, the partial differential equation of lateral vibration of high-rise buildings is established, and the Galerkin method is used to solve the partial differential equation until the discrete solution is obtained, and then the displacement response of high-rise buildings under different excitation frequencies is obtained. The experimental results show that compared with the traditional method, the proposed method has the advantages of short calculation time, high accuracy, and low energy consumption.

Author information
  • Jilin Jianzhu University, Changchun, ChinaLi Li
  • Polytechnic School of Cuenca, Institute of Applied Mathematics in Science and Engineering (IMACI), University of Castilla-La Mancha, Cuenca, SpainRaquel Martínez
References
  1. M. Liu and Z. M. Wang, J. Appl. Mech., 35, No. 5, 95–101, 264 (2018).
  2. D. M. Huang and Q. S. Ding, J. Vib. Eng., 30, No. 6, 983–992 (2017).
  3. R. R. Li and X. S. Yao, Chin. J. Appl. Mech., 34, No. 3, 417–423 (2017).
  4. X. H. Liu and B. Yan, Chin. J. Appl. Mech., 34, No. 2, 370–376 (2017).
  5. L. H. Zou and H. Q. Tang, Eng. Mech., 34, No. 1, 157–165 (2017).
  6. Z. Li and Y. D. Hu, J. Vib. Shock, 36, No. 23, 75–82 (2017).
  7. Y. Wang and J. Li, World Earthqu. Eng., 33, No. 1, 216–222 (2017).
  8. Y. Z. Yan and W. L. Qiang, Chin. Railway Sci., 38, No. 6, 49–57 (2017).
  9. T. T. Niu and Y. M.Chen, Rock Soil Mech., 39, No. 3, 872–880 (2018).
  10. S. S. Dong and W. Wang, Chin. J. Appl. Mech., 152, No. 4, 127–133, 257–258 (2018).
  11. L. X. Ma and Q. X. Qi, J. Vib. Shock, 36, No. 15, 111–117 (2017).
  12. K. H. Gao and T. Xu, J. Vib. Shock, 36, No. 20, 100–106 (2017).
  13. R. N. Cao and M. H. Li, J. Vib. Shock, 36, No. 18, 202–206 (2017).
  14. Y. Wang, J. Earthqu. Eng., 25, No. 4, 637–642 (2018).
  15. S. M. Hosamani, B. B. Kulkarni, R. G. Boli, and V. M. Gadag, Appl. Math. Nonlinear Sci., 2, No. 1, 131–150 (2017).
  16. Y. M. Cao, and H. Xia, J. Southwest Jiaotong Univ., 52, No. 5, 902–909 (2017).
  17. Z. P. Huang, and Y. B. Cao, World Earthqu. Eng., 33, No. 4, 87–93 (2017).
  18. X. Y. Xu, and Y. Xiong, J. Bldg. Struct., 38, No. 5, 43–51 (2017).
  19. M. Lara, Appl. Math. Nonlinear Sci., 3, No. 2, 537–552 (2018).
  20. X. F. Zhang, and A. Q. Li, J. Build. Struct., 39, No. 1, 109–119 (2018).
  21. X. Z. Chen, and W. Li, Earthqu. Eng. Eng. Vib., 38, No. 4, 093–99 (2018).
  22. J. Y. Xue, and J. M. Jia, J. Build. Struct., 39, No. 12, 1–10 (2018).
  23. J. Wang, J. Earthqu. Eng., 40, No. 3, 30–37 (2018).
  24. F. Aghili. Multibody System Dynamics, 48, No. 2, 193–209, (2020).
  25. T. A. Sulaiman, and H. Bulut, 4, No. 2, 513–522 (2019).