Bayesian Updating Model for Structural Vibration–Induced Hydrodynamic Added Mass of Rectangular Pile Cap Submerged in Water
Publication: Journal of Engineering Mechanics
Volume 146, Issue 9
Abstract
This paper focuses on the calculation of the structural vibration–induced hydrodynamic added mass of the rectangular pile cap submerged in water. A total of 150 pile caps with different physical parameters are sampled by Latin hypercube sampling (LHS). The added mass coefficients of all the pile cap samples are computed using a three-dimensional (3D) potential-based numerical method. Based on the database of physical parameters and added mass coefficient results of the pile cap samples, the analytical model with Bayesian updating for the hydrodynamic added mass of the rectangular pile cap is proposed. The proposed model consists of a deterministic model and the additional correction terms accounting for the model inherent bias and model error. The formulation of the model is expressed as a function of a series of physical parameters of the pile cap. The unknown parameters in the proposed model are updated based on the produced database, and the formulation of the correction terms is optimized through a stepwise deletion process. The proposed model is then applied to calculate the hydrodynamic added mass according to the experimental modal testing setup of the isolated pile cap specimens and the group-pile cap foundation specimens submerged in water, respectively. Through the comparison between the modal results from the experiments and the proposed model, it is concluded that the proposed model can efficiently estimate the hydrodynamic added mass of a rectangular pile cap submerged in water with acceptable prediction error.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request, including the numerical simulation data of rectangular pile caps, code for performing Bayesian updating, and experimental data of rectangular pile cap specimens.
Acknowledgments
The authors would like to acknowledge financial support from the National Natural Science Foundation of China (Grant Nos. 51708455 and 51978578).
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Published In
Journal of Engineering Mechanics
Volume 146 • Issue 9 • September 2020
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Feb 18, 2019
Accepted: Apr 24, 2020
Published online: Jun 27, 2020
Published in print: Sep 1, 2020
Discussion open until: Nov 27, 2020
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