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为了准确分析爆炸作用下地下拱结构的动力响应,利用阻尼系数来表达土介质与结构的动力相互作用,建立结构运动方程。由于结构动态响应方程的复杂性,在计算中对结构进行了简化,忽略了结构剪切力、转动惯性矩以及切向力的影响,并且假设拱结构在切线方向是不可延展的。利用振型分解法获得了两端固支拱结构在爆炸荷载作用下的动态响应的解析解。对圆心角为120°的拱结构单元进行了计算,得出了位移、速度和加速度时程响应曲线,探讨了参数响应的最大值与比例爆距之间的关系,得到了最大值与比例爆距之间的关系曲线。利用解析计算得到了结构弯矩的包络图。
In order to accurately analyze the dynamic response of the underground arch structure under the action of explosion, the damping coefficient is used to express the dynamic interaction between the soil medium and the structure and establish the structural equation of motion. Due to the complexity of the dynamic response equation of the structure, the structure is simplified in the calculation, ignoring the influence of the structural shear force, moment of inertia and tangential force, and assuming that the arch structure is inextensible in the tangential direction. The analytical solution of the dynamic response of the arch structures with both ends supported by blasting under explosive load was obtained by using the mode decomposition method. The arch structure unit with the central angle of 120 ° was calculated and the time response curve of displacement, velocity and acceleration was obtained. The relationship between the maximum value of the parameter response and the ratio of the burst distance was discussed. The relationship between the curve. The envelope of structural moment is obtained by analytical calculation.