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内源爆炸荷载产生的振动响应对地下衬砌隧洞的安全非常重要。采用Fourier变换和Laplace变换,推导出内源爆炸荷载作用下无限弹性空间中圆柱形衬砌孔洞的瞬态动力响应无量纲解答,利用Fourier和Laplace逆变换数值方法,计算分析内爆炸荷载产生的振动在衬砌和周围弹性介质中的分布和传播衰减规律。计算结果表明,爆源中心处衬砌内表面径向位移、切向应力和衬砌外表面土体径向位移、切向应力最大,向左右两侧迅速衰减,在6倍衬砌内径处衰减为0;衬砌内表面径向位移、切向应力和衬砌外表面土体径向位移、切向应力时程曲线峰值爆源中心处最大,离爆源中心越远,峰值越小,且在t~*=10时衰减为0。
Vibration response of internal source explosion load is very important to the safety of underground lining tunnel. The Fourier transform and Laplace transform are used to derive the dimensionless solution to the transient dynamic response of cylindrical lining cavity in infinite elastic space under internal source explosion load. The Fourier transform and Laplace inverse transform numerical method are used to calculate and analyze the vibration caused by the internal explosive load Distribution and propagation attenuation in lining and surrounding elastic media. The calculated results show that the radial displacement, tangential stress and the radial displacement of soil lining on the lining surface at the center of explosion source are the largest. The tangential stress is the largest and decays rapidly to the left and right, and decays to 0 at the inner diameter of 6 times lining. The radial displacement, tangential stress and the radial displacement of the soil on the outer surface of the lining are the biggest, and the farther away from the center of the explosion source is, At 10, it decays to zero.