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Abstract Cylindrical structure is commonly used in the field of the city subway tunnel structure and other underground engineering. Based on the characteristics of the underground cylindrical structures and surrounding rock，the dynamic generalized function of cylindrical structure system in rocks subjected to plane shock wave is established，the linear and nonlinear dynamic differential equations of the system are derived by using variation principle. Applying the method to cylindrical structures with soft backfill layer in rocks，the elasticplastic dynamic responses of the structure are calculated. The effect of underground cylindrical structure dynamic characteristics and dynamic response of backfill layer thickness on the structure system are also researched. Meanwhile，the clipping vibration optimum thickness of soft backfilled layer and the best acoustic impedance ratio of the rock to backfill materials are worked out. The results are applicable to antiknock structure selection and structure dynamics analysis in the underground engineering under plane stress wave or earthquake loadings.
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Received: 20 April 2012
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2012, Vol. 31 
