The crack model based on local flexibility has received attractive attentions in engineering. However,the theoretical studies on local flexibility of a pipe with a crack with an arbitrary direction are less conce rned. The local flexibility equations of a pipe with a part-through crack subjected to axial force, shear force and bending moment were deduced using theories of linear fracture mechanics and taking into the effect of the direction angle of the crack on the local flexibility of the pipe into account. An adaptive Simpson method was used to obtain the flexibility coefficients of the cracked pipe and the results were compared with those of Naniwadekar's test to validate the proposed approach. The results demonstrated that the proposed approach is correct, it is suitable for vibration analysis of pipe-like structures with an arbitrary direction angle crack.%基于局部柔度的裂纹模型研究已受到普遍关注,然而,针对含任意方向角裂纹管道的局部柔度系数理论研究鲜有报道.根据线性断裂力学理论推导了含任意方向角非贯穿直裂纹管道在轴力、剪力和弯矩等荷载作用下的局部柔度方程,考虑了方向角变化对弯矩引起局部柔度系数的影响.利用适应性Simpson方法编写了数值积分程序进行局部柔度系数求解,并与Naniwadekar等人试验结果进行了对比分析.研究结果表明:提出的局部柔度系数求解方法准确,为含任意方向角裂纹管道的振动分析提供了基础.
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