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袁林娟, 刘小生, 汪小刚, 杨正权, 杨玉生. 振动台土–箱结构模型动力特性及反应的解析分析[J]. 岩土工程学报, 2012, 34(6): 1038-1042.
引用本文: 袁林娟, 刘小生, 汪小刚, 杨正权, 杨玉生. 振动台土–箱结构模型动力特性及反应的解析分析[J]. 岩土工程学报, 2012, 34(6): 1038-1042.
YUAN Lin-juan, LIU Xiao-sheng, WANG Xiao-gang, YANG Zheng-quan, YANG Yu-sheng. Analytic solution of dynamic characteristics and responses of soil-box model for shaking table tests[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(6): 1038-1042.
Citation: YUAN Lin-juan, LIU Xiao-sheng, WANG Xiao-gang, YANG Zheng-quan, YANG Yu-sheng. Analytic solution of dynamic characteristics and responses of soil-box model for shaking table tests[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(6): 1038-1042.

振动台土–箱结构模型动力特性及反应的解析分析

Analytic solution of dynamic characteristics and responses of soil-box model for shaking table tests

  • 摘要: 在振动台模型试验中,模型箱的设计直接影响到结果的准确性和可靠性。指出了叠层剪切型模型箱存在的主要问题有模型箱的附加质量、层间的摩阻力以及最大位移的限制。基于剪切梁法建立了土柱与模型箱相互作用的简化模型,在土体剪切模量均匀分布和沿高度指数分布的情况下,分别推导了其动力特性与反应的解析解,进而讨论了模型箱尺寸、材料对土体动力特性的影响。结果表明:与纯土柱相比,模型箱附加质量使土–箱系统自振频率减小;模型箱尺寸越大,土–箱结构自振频率误差越小;在相同尺寸下,铝合金模型箱的自振频率误差明显小于钢质模型箱。在此基础上建立了模型箱尺寸和材料应满足的公式。该方法可为设计合理的模型箱提供一定的参考。

     

    Abstract: The design of the model box for shaking table tests has a remarkable impact on their accuracy and reliability. The main defects of laminar shear model box are as follows: added mass, friction between the layers as well as maximum displacement limitation. Based on the shear beam method, a simplified soil-box model considering the interaction of soil columns and laminar shear model box is established. On the condition of the shear modulus evenly and exponentially distributed, the analytic solutions of the dynamic characteristics and responses are deduced respectively. Furthermore, the influencing factors, such as size and material, are discussed. The results show that the added mass makes the natural frequency of the soil-box model less than the soil column model, and the error of the frequency decreases with the increase of the box size. Besides, the test error from aluminum alloy box is obviously less than that of the steel box for the same size. On the basis of these, the requirements of the box size and material are given. The proposed method provides some reference for the design of suitable model box.

     

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