Adopting the method of weighted residual, the natural frequencies of a pipe conveying fluid were calculated and the influences of the fluid velocities on the natural frequencies were analyzed. In the process of analyzing, the trial functions were also constituted via the N order Galerkin truncation. After establishing the performance function of the resonance reliability of the pipe conveying fluid, the first four order moments of the performance function were determined with the point estimation method and the resonance reliabilities were obtained using the modified Edgeworth expansion. Then, the relationship between the fluid velocities and the resonance reliabilities was also presented. The stady results valuable for anti-resonance design and resonance reliability estimation of a pipe conveying fluid.%采用基于Galerkin的加权残数法分析输流管道,利用N阶Galerkin截断建立试函数,推导出消除残数方程,得到输流管道的前N阶固有频率,并分析流速对固有频率的影响.建立输流管道共振可靠度的功能函数,利用点估计法计算功能函数的前四阶矩,采用修正Edgeworth级数法求得输流管道的共振可靠度,并讨论了流速对管道共振可靠度的影响.研究结果对于输流管道的防共振设计和共振可靠性评估具有参考价值.
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