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摘要:
针对硬岩掘进机工作过程中产生的强烈振动影响管道的工作性能的问题，建立了基础振动下两端固定支撑输流管道横向振动的数学模型，运用Galerkin方法和等效弯矩法对管道最大应力进行了数值求解，并且用实验证实了数学模型的正确性。研究了基础振动参数对管道最大应力的影响规律，并根据最大应力判据条件得到了不同基础振动参数下管道工作的正常-失效区域，制定了以流量-压力-强振动参数为依据的管道抗振结构设计方法。结果表明：基础振动会引起液压管道应力剧增而导致其工作失效，新的设计方法能有效改善强振动环境下管道的工作性能。
Abstract:Against the problem that strong vibration has effect on the performance of hydraulic pipe during the working process of tunnel boring machine, the transverse vibration mathematical model of the clamped-clamped hydraulic pipe under the foundation vibration was built; The methods of Galerkin and equivalent bending moment were adopted to solve pipe's maximum stress, and the correctness of mathematical model was verified by experiments. The influence rule of foundation vibration parameters on pipe's maximum stress was researched and the normal-failure areas of pipe under different foundation vibration parameters were obtained on the basis of maximum stress criterion. The anti-vibration structural design method was developed based on flow-pressure-strong vibration parameters. The results indicate that foundation vibration causes dramatic increase of hydraulic pipe stress and thus leads to its performance failure, and the new design method can effectively improve the performance of pipe under the strong vibration environment.
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Key words:
- foundation vibration /
- hydraulic pipe /
- stress analysis /
- anti-vibration structure /
- design method
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图 2 2个典型时刻管道位移、弯矩和最大应力的分布
Figure 2. Displacement, bend moment and maximum stress distribution of pipe at two typical moments
图 4 实验系统液压原理图
1-油源开关；2-变量泵；3，13，17-单向阀；4-调速阀；5，12-电磁溢流阀；6-换向阀；7，15-电磁换向阀；8-液控单向阀；9-动力液压缸；10-惯性负载；11-加载液压缸；14-电磁减压阀；16-溢流阀；18-定量泵；19-过滤器。
Figure 4. Hydraulic schematic diagram of experimental system
图 6 应力仿真曲线及与实验结果局部对比图
Figure 6. Local contrast chart of stress simulation curves and experimental results
图 7 最大应力随基础振动频率变化规律
Figure 7. Change rules of maximum stress with foundation vibration frequency
图 9 强振动环境下抗振结构设计流程图
Figure 9. Design flow chart of anti-vibration structure in strong vibration environment
图 11 不同基础振动参数下的失效区域
Figure 11. Failure area of different foundationvibration parameters
图 13 优化后应力敏感截面上最大应力响应
Figure 13. Maximum stress response of stresssensitive section ofter optimizing
表 1 系统参数设置
Table 1. System parameter setting
参数 数值 壁厚/m 0.004 管道内径/m 0.05 管道弹性模量/GPa 201 管道固支间距/m 2 管材密度/(kg·m-3) 7 985 管材泊松比 0.3 流体平均流速/(m·s-1) 3 流体密度/(kg·m-3) 890 
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