Coordinative similitude law considering fluid‐structure interaction for underwater shaking table tests |
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| Authors: | Zhong‐Xian Li Kun Wu Yundong Shi Ning Li Yang Ding |
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| Institution: | 1. Key Laboratory of Coast Civil Structure Safety of Ministry of Education, Tianjin University, Tianjin, China;2. School of Civil Engineering, Tianjin University, Tianjin, China |
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| Abstract: | Generally, when a model is made of the same material as the prototype in shaking table tests, the equivalent material density of the scaled model is greater than that of the prototype because mass is added to the model to satisfy similitude criteria. When the water environment is modeled in underwater shaking table tests, however, it is difficult to change the density of water. The differences in the density similitude ratios of specimen materials and water can affect the similitude ratios of the hydrodynamic and wave forces with those of other forces. To solve this problem, a coordinative similitude law is proposed for underwater shaking table tests by adjusting the width of the upstream face of the model or the wave height in the model test to match the similitude ratios of hydrodynamic and wave forces with those of other forces. The designs of the similitude relations were investigated for earthquake excitation, wave excitation, and combined earthquake and wave excitation conditions. Series of numerical simulations and underwater shaking table tests were performed to validate the proposed coordinative similitude law through a comparison of coordinative model and conventional model designed based on the coordinative similitude law and traditional artificial mass simulation, respectively. The results show that the relative error was less than 10% for the coordinative model, whereas it reached 80% for the conventional model. The coordinative similitude law can better reproduce the dynamic responses of the prototype, and thus, this similitude law can be used in underwater shaking table tests. |
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| Keywords: | underwater shaking table test coordinative similitude law fluid‐structure interaction similitude criterion artificial mass simulation |
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