Simplified Added-Mass Model for Evaluating the Response of Rectangular Hollow Bridge Piers under Earthquakes
Publication: Journal of Bridge Engineering
Volume 26, Issue 10
Abstract
A simplified added-mass model is proposed in this paper for evaluating the seismic response of rectangular hollow piers in deep water, which are widely used in railway bridges. For this purpose, the accurate and concise formulas for the outer and inner hydrodynamic pressures were first derived after smoothing the pier outer surface corners by using small circular arcs. Then, the kinematic equation of the pier–water system was solved in the frequency domain and converted to the time domain with an inverse Fourier transform. In addition, the expressions for the outer and inner water added masses that were induced by elastic vibration and rigid motion were obtained. To verify the accuracy of these analytical solutions in terms of hydrodynamic pressures and added masses, a finite-element modeling approach, based on potential-based fluid elements (PBFEs), was employed to define numerical models of bridge piers in water. A comparison of the added mass coefficients induced by elastic vibration and rigid motion indicates that the former can be substituted by the latter. Meanwhile, water compressibility effects on the hydrodynamic forces have been fully discussed and proven to be negligible for general piers under most earthquakes. Finally, for convenience of application, simplified formulas for added mass and a simplified added model were presented to simulate the seismic response of rectangular hollow piers in water. The good agreement between the dynamic results from the simplified expressions and numerical method confirmed the former’s accuracy and convenience for engineering applications.
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Acknowledgments
This work was supported by the National Natural Science Foundation of China (Grant Nos. 51878487 and 41672266). Financial support from these organizations is gratefully acknowledged.
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Published In
Journal of Bridge Engineering
Volume 26 • Issue 10 • October 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Dec 18, 2020
Accepted: Jun 27, 2021
Published online: Aug 5, 2021
Published in print: Oct 1, 2021
Discussion open until: Jan 5, 2022
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