基于分形理论的浮动球球体挤压应力计算  

Calculation of Compressive Stress of Floating Sphere Based on Fractal Theory

作　　者：贾怀军 杨繁隆 邓鑫 王延运 丁瑞 李勇 张小强 JIA Huai-jun;YANG Fan-long;DENG Xin;WANG Yan-yun;DING Rui;LI Yong;ZHANG Xiao-qiang(Sichuan SUC Flow Control Equipment Co.,Ltd.,Chengdu 610200,Sichuan,China)

机构地区：[1]四川苏克流体控制设备股份有限公司,四川成都610200

出　　处：《阀门》2024年第3期281-285,共5页VALVE MAGAZINE

摘　　要：目前浮动球球体挤压计算存在两大问题:首先,现有校核公式结果偏大,不符合实际情况;其次,赫兹接触理论因假设条件和模型匹配度差等原因,计算难度大。阀门启闭瞬时,阀杆与球体的挤压行为存在不确定性,传统的计算接触面积与真实接触面积间存在极大偏差,因此,合理的接触面积是校核挤压强度的关键。本文基于分形理论,从零部件接触行为的相似性出发,推导出挤压应力计算公式,以NPS 1-1/2,CLASS 150浮动球阀为例,得到其挤压应力值为33.3 MPa;借助SolidWorks有限元分析软件得到同一模型的平均挤压应力为31.62 MPa,两者相差不大,验证了挤压公式的合理性和可靠性。本次推导为浮动球挤压应力的计算提供了新的思路和方法。At present,there are two major problems in the calculation of floating sphere extrusion:First,the results of the existing checking formula are too large and do not accord with the actual situation;Secondly,the calculation of Hertzian contact theory is difficult because of the assumptions and poor model matching.When the valve is opened and closed,the extrusion behavior of the valve stem and the ball is uncertain,and there is a great deviation between the traditional calculated contact area and the real contact area.Therefore,a reasonable contact area is the key to check the extrusion strength.Based on the fractal theory and the similarity of the contact behavior of parts,the extrusion stress calculation formula is derived.Taking NPS 1-1/2,CLASS 150 floating ball valve as an example,the extrusion stress value is 33.3MPa.By using the finite element analysis software of Solid works,the average extrusion stress of the same model is 31.62MPa,and the difference between the two is not much,which verifies the rationality and reliability of the extrusion formula.This derivation provides a new idea and method for the calculation of floating ball extrusion stress.

关 键 词：浮动球阀 赫兹接触 分形理论 挤压应力 有限元 

分 类 号：TH134[机械工程—机械制造及自动化]