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考虑当量轴向力和毗邻埋地管道的影响,导出了计算无固定墩两端埋地跨越管道固有频率的特征方程。在评述已有的管道频率估算公式基础上,提出了新的估算公式。计算结果表明,主要由内压、温差引起的当量轴向力对频率有较大的影响,取消锚固墩大大降低了管道的固有频率。基于特征方程的计算值,较详细地讨论了频率估算公式的可靠性,认为当量轴向力为零或拉力时,估算公式有相当的精度;当量轴向力为压力时,估算公式的误差较大,此时应按特征方程计算频率。
Taking into account the equivalent axial force and the influence of adjacent pipeline, the eigenvalue equation for calculating the natural frequency of pipeline buried at both ends without fixed piers is derived. On the basis of reviewing the existing pipeline frequency estimation formulas, a new estimation formula is proposed. The calculation results show that the equivalent axial force mainly caused by internal pressure and temperature difference has a great influence on the frequency, and the anchorage pier is canceled greatly to reduce the natural frequency of the pipeline. Based on the calculated values of the characteristic equation, the reliability of the frequency estimation formula is discussed in detail. When the equivalent axial force is zero or the pulling force, the estimation formula has considerable accuracy. When the equivalent axial force is the pressure, the error of the estimation formula Large, this time should be calculated according to the characteristics of frequency.