Analytical solutions different analytical solutions in the nonlinear vibration of bridge panels

DOI

10.2991/978-94-6463-372-6_25How to use a DOI?

Keywords

nonlinear vibration; harmonic balance method; multiple scales; Duffing equation

Abstract

To study the nonlinear vibration response of a bridge panel, a mechanical model based on Von Karman theory was established. This model led to the formulation of the vibration equation for a large deformation plate, resulting in the Duffing equation through Galerkin integration. Subsequently, a multi-scale analytical solution was employed to analyze the system’s dynamic response and investigate the impact of material nonlinearity and external excitation parameters on the system response. Finally, the accuracy of the analytical solution was confirmed using the incremental harmonic balance method and the Runge-Kutta method.

Copyright

© 2024 The Author(s)

Open Access

Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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TY  - CONF
AU  - Yun Zhou
PY  - 2024
DA  - 2024/02/12
TI  - Analytical solutions different analytical solutions in the nonlinear vibration of bridge panels
BT  - Proceedings of the 2023 5th International Conference on Civil Architecture and Urban Engineering (ICCAUE 2023)
PB  - Atlantis Press
SP  - 275
EP  - 282
SN  - 2589-4943
UR  - https://doi.org/10.2991/978-94-6463-372-6_25
DO  - 10.2991/978-94-6463-372-6_25
ID  - Zhou2024
ER  -