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TBM推进机构静刚度建模与灵敏性分析

STATIC STIFFNESS MODELING AND SENSITIVITY ANALYSIS OF TBM PROPULSION MECHANISM
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摘要 针对大突变载荷、极限重载荷作用条件下TBM液压推进机构承载能力,研究TBM液压推进机构刚度性能及其灵敏性。所述方法将并联连接的每个液压推进缸支链的缸体、活塞及液压油视作串联连接的多柔体,建立了推进缸静刚度模型,并用有限元法验证了其有效性。然后,运用并联机构微分运动原理建立了机构运动学模型,建立了变形协调方程和动力兼容方程,得到了机构静刚度的关系式,并用有限元方法验证了其有效性。利用灵敏性分析法得到了机构刚度与结构尺寸以及位姿之关系,结果表明:机构楔形角、动平台大小对机构横向x轴、竖向y轴刚度以及纵向z轴转动刚度影响较大,横向x轴、竖向y轴刚度及其转向刚度分别相等;机构各向刚度偏差分布规律相同且随着纵向位移的增加而逐渐减小,其计算偏差不超过2%。 Aiming at the bearing capacity of TBM hydraulic propulsion mechanism under the conditions of large sudden load and extreme heavy load,the stiffness performance performance and sensitivity of TBM hydraulic propulsion mechanism are studied.The method regards the cylinder block,piston and hydraulic oil of each hydraulic propulsion cylinder branch chain connected in parallel as a multi-flexible body connected in series.The static stiffness model of the propulsion cylinder is established and its effectiveness is verified by the finite element method.Then,the mechanism kinematics model was established using the principle of differential motion of the parallel mechanism,the deformation coordination equation and the dynamic compatibility equation were established,and the relationship equation of the static stiffness of the mechanism was obtained,and its effectiveness was verified by the finite element method.The relationship between the stiffness of the mechanism and the structure size and pose was obtained with the sensitivity analysis method.The results show that the wedge angle of the mechanism and the size of the movable platform have a greater influence on the stiffness of the transverse x-axis,vertical y-axis and the longitudinal z-axis rotation stiffness.The lateral x-axis stiffness,the vertical y-axis stiffness and the steering stiffness are equal respectively,the distribution law of the stiffness deviation in all directions of the mechanism is the same and gradually decreases with the increase of the longitudinal displacement,the calculation deviation does not exceed 2%.
作者 徐尤南 陈洁 刘志强 XU YouNan;CHEN Jie;LIU ZhiQiang(School of Mechanical,Electrical and Vehicle Engineering,East China Jiaotong University,Nanchang 330013,China)
出处 《机械强度》 CAS CSCD 北大核心 2022年第4期901-910,共10页 Journal of Mechanical Strength
基金 国家自然科学基金项目(52075171,51675180)资助。
关键词 TBM推进机构 液压缸静刚度 机构静刚度 机构灵敏性 有限元方法 TBM propulsion mechanism Hydraulic cylinder static stiffness Mechanism static stiffness Mechanism sensitivity Finite element method
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