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初封载荷下封隔器胶筒表面自由变形特性分析
引用本文:张付英,李天天,张玉飞.初封载荷下封隔器胶筒表面自由变形特性分析[J].应用数学和力学,2019,40(4):419-432.
作者姓名:张付英  李天天  张玉飞
作者单位:天津科技大学 机械工程学院; 天津市轻工与食品工程机械装备集成设计与在线监控重点实验室, 天津 300222
基金项目:天津市自然科学基金(17JCZDJC38800)
摘    要:研究了封隔器胶筒在自由变形阶段受初封载荷作用下内、外表面发生位移变形的特性.依据连续介质力学理论,建立自由变形阶段的有限变形数学模型,给出了胶筒在初封轴向载荷下内、外表面径向变形的过程,得到胶筒非线性变形解析解.通过数值计算,在求解出胶筒外表面自由变形解析式的基础上,进一步分析了容易被忽略的胶筒内表面非线性变形规律和相关参数变化对其密封性能的影响.该变形特性分析可适用于不同型号的封隔器胶筒,为胶筒的密封和可靠性设计提供重要理论依据.

关 键 词:封隔器胶筒  初封载荷  自由变形阶段  表面位移变形  解析解
收稿时间:2018-03-29

Analysis on Free Deformation Characteristics of Packer Rubber Surface Under the Initial Sealing Load
ZHANG Fuying,LI Tiantian,ZHANG Yufei.Analysis on Free Deformation Characteristics of Packer Rubber Surface Under the Initial Sealing Load[J].Applied Mathematics and Mechanics,2019,40(4):419-432.
Authors:ZHANG Fuying  LI Tiantian  ZHANG Yufei
Institution:College of Mechanical Engineering; Key Laboratory of Integrated Design and On Line Monitoring for Light Industry and Food Machinery and Equipment in Tianjin, Tianjin University of Science and Technology, Tianjin 300222, P.R.China
Abstract:The displacement and deformation characteristics of the inner and outer surfaces of the packer rubber under the initial load in the free deformation stage were investigated. Based on the continuum mechanics, a finite deformation mathematical model was established in the free deformation stage. The process of radial deformation of the inner and outer surfaces of the packer rubber under the initial axial load was given, and the analytical solution of the nonlinear deformation of the packer rubber was obtained. Through numerical calculation, based on the solution of analytical formulae for free deformation of the outer surface, the influences of the nonlinear deformation law and the relevant parameters on the sealing performance of the inner surface were further analyzed. The results of deformation characteristics can be applied to different types of packer rubbers, and provide an important theoretical basis for the sealing and reliability design of packer rubbers.
Keywords:packer rubber initial load  free deformation stage  surface displacement and deformation  analytical solution
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