轮生叶序排布轮辐铸造应力与轮辐素合数关系  

Relationship between Casting Stress and Prime and Composite Numbers of Sopkes in WhorledPhyllotaxy

作　　者：南杰洪 吕玉山[1] 李胜泽 Nan Jiehong;Lv Yushan;Li Shengze

机构地区：[1]沈阳理工大学机械工程学院,辽宁沈阳110159

出　　处：《一重技术》2023年第6期9-12,共4页CFHI Technology

基　　金：国家自然科学基金项目“结构化减阻功能表面的拓扑磨削机制与关键技术基础”(项目编号:51875368)。

摘　　要：基于轮生叶序植物生长理论,从生物学角度研究铸造生产中,轮辐铸造应力与轮辐素合数之间的关系。首先,根据轮生叶序植物生长排布方式,利用三维建模软件分别建立轮辐数为3、4、5、6、7、8的等质量轮毂和模具模型;其次,使用铸造仿真软件,对轮毂进行低压铸造仿真;最后,根据仿真结果分析铸造应力和轮辐素合数之间的关系。研究发现:随着轮辐数的增加,铸造应力增大;相邻素合数3和4、5和6、7和8之间铸造应力值相近。此外,当轮辐数为合数时,现两轮辐在同一直线上,易产生裂纹。因此,在生产轮毂时,可以通过减少轮辐个数,选择素数轮辐减小铸造应力。This paper studies the relationship between casting stress and prime and composite numbers of the spokes during casting from a biological perspective based on the growth theory of whorled phyllotaxy plants.Firstly,according to the leaf arrangement of whorled phyllotaxy plant,3-dimensional modeling software is applied to establish models of equal-mass hubs and molds with spoke numbers of 3,4,5,6,7 and 8,respectively.Secondly,casting simulation software is applied to carry out low-pressure casting of the hub.Finally,the relationship between casting stress and prime and composite numbers of the the spoke is analyzed according to the simulation results.The results show that casting stress increases with the increase of number of spokes,and the values of casting stress between adjacent prime and composite numbers 3 and 4,5 and 6,and 7and 8 are similar.In addition,when the spokes is in combined number,two spokes are in the same straight line and easy to generate cracks.Therefore,when manufacturing hubs,casting stress can be reduced by reducing the number of spokes and defining prime number of spokes.

关 键 词：轮生叶序 铸造 凝固 铸造应力 素合数 

分 类 号：U463[机械工程—车辆工程]