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出 处:《岩石力学与工程学报》2012年第A02期3503-3507,共5页Chinese Journal of Rock Mechanics and Engineering
摘 要:在城市地铁隧道结构以及其它地下工程选型方面,常常采用圆形结构。根据地下圆形结构和围岩的特点,建立平面冲击波载荷作用下有岩石中多层圆形结构体系的动力广义泛函,并采用变分原理推导出体系的线性和非线性动力微分方程组。采用该方法对承受平面应力波的有软回填层的岩石中多层圆形结构进行弹塑性动力响应计算,研究地下多层圆形结构的动力特性和回填层厚度对结构体系动力响应的影响。给出软回填层削波减振的最佳厚度和围岩与回填材料的最佳声阻抗比。该研究结果适用于平面应力波荷载或地震荷载下,地下工程结构选型及结构动力学分析。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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