System similar design method for shaking table test based on separated dimensional analysis and its application in soil-underground pipe gallery interaction
WANG Zhijia1，LI Shengmin1，HE Xu2，YIN Tiantian3，WU Zuoju4
(1. School of Civil Engineering，Hainan University，Haikou，Hainan 570228，China；2. Hainan Country Garden Real Estate Development Co.，Ltd.，Haikou，Hainan 570228，China；3. The Eighth Engineering Bureau of China Construction，
Shanghai 200000，China；4. Southwest University of Science and Technology of Civil Engineering and Architecture，Mianyang，Sichuan 621010，China)
Abstract：The design methods of scale model test based on traditional dimensional analysis theory，when applied to multi-medium coupling dynamic model design，are faced with some problems，including a large gap between theoretical calculation results and actual test conditions，failure to satisfy the dynamic characteristics of each substance and difficulty in realizing the similarity of contacting and coupling interaction between substances. To solve these problems，the separation dimension analysis theory is proposed，and a system similar design method for model test is established based on the theory. The developed method is then applied to the similar design of shaking table model of soil-underground pipe gallery dynamic interaction. The soil-underground pipe gallery system is divided into four sub-systems of soil，underground pipe gallery，contact surface and seismic wave according to its overall characteristics. The contact mechanism of soil-underground pipe gallery is studied，and the parameters controlling the sub-system characteristics of the contact correlation effect between substances are proposed. The similar materials are prepared to ensure the similitude of contact coupling interaction，and the four sub-systems are separately designed based on their respective characteristics. In order to explore the degree of simulation between the system similar design method and the traditional similar design method，the prototype and the models of the underground pipe gallery are respectively designed by different similar design methods，and the shaking table tests of the prototype and the models are carried out. The test results show that compared with the traditional similar design method，the system similar design method has no obvious advantage in the simulation of the acceleration response of the underground pipe gallery structure but has obvious advantages in the simulation of the strain response of the underground pipe gallery structure，which can accurately reflect the true law of the prototype.
王志佳1，李胜民1，何 旭2，尹天天3，吴祚菊4. 基于分离量纲分析理论的模型试验系统相似设计方法——以土–地下管廊振动台试验为例[J]. 岩石力学与工程学报, 2021, 40(12): 2553-2569.
WANG Zhijia1，LI Shengmin1，HE Xu2，YIN Tiantian3，WU Zuoju4. System similar design method for shaking table test based on separated dimensional analysis and its application in soil-underground pipe gallery interaction. , 2021, 40(12): 2553-2569.
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2021, Vol. 40 
