摘要
针对传统的位移圆半径设计公式无法应用于具有大尺寸、重负载、变倾角等特点的大型船用鼓形齿联轴器的问题,采用有限元分析和响应面设计的方法,建立了最优位移圆半径和结构参数、工况参数之间的关系式。基于啮合原理及坐标变换,建立了鼓形齿联轴器的高精度有限元网格模型以及高精度装配模型。考虑0°和最大倾角两种边界工作条件,结合某船用鼓形齿联轴器轮齿的接触应力、弯曲应力及接触印痕的位置,确定了最优位移圆半径的设计准则。基于拉丁超立方采样方法和响应面方法,拟合出了最优位移圆半径和扭矩、齿数、模数、齿宽及最大倾角之间的关系式。通过有限元方法计算出一组大倾角和一组小倾角算例下的最优位移圆半径,与响应面方法的结果进行了对比。研究结果表明:印痕距离为0.2倍齿宽时的位移圆半径为最优值;大型船用鼓形齿联轴器的最优位移圆半径主要受最大极限倾角影响,其次是结构尺寸、负载扭矩的影响;该响应面模型是有效的,可以用于大型船用鼓形齿联轴器位移圆半径的设计。
The problem that traditional design formulas for displacement circle radius cannot be applied to the huge-scale marine crown gear coupling with large size,heavy load and variable shaft angle is considered.Relationship formulas of the optimum displacement circle radius with structural parameters and working condition parameters are established by a finite element analysis and response surface methodology.Firstly,based on meshing theory and coordinate transformation a high-precision finite element mesh model and an assembly model of crown gear coupling are established.Secondly,a design criterion of the optimal displacement circle radius is determined by considering the two boundary conditions of 0°and maximum shaft angles and combining contact stress,bending stress and contact position obtained from an example of a marine crown gear coupling.Then,relationship formulas of the optimum displacement circle radius with torque,teeth number,modulus,tooth width and maximum shaft angle are fitted out based on Latin hypercube sampling method and response surface methodology.Finally,the optimum displacement circle radius values are calculated by a finite element method for a group of large shaft angles and a group of small shaft angles,and compared with those obtained by the response surface model.The results show that displacement circle radius reaches the optimal value when contact position is 0.2 times of the width of the tooth;The optimum displacement circle radius of huge-scale marine crown gear coupling is affected by the following factors in turn:maximum shaft angle,structure size,and load torque;It is concluded that the response surface model is effective and can be used to design the displacement circle radius of huge-scale marine crown gear coupling.
作者
关亚彬
杨小辉
方宗德
刘超
陈国定
GUAN Yabin;YANG Xiaohui;FANG Zongde;LIU Chao;CHEN Guoding(School of Mechanical Engineering,Northwestern Polytechnical University,Xi’an 710072,China)
出处
《西安交通大学学报》
EI
CAS
CSCD
北大核心
2019年第10期57-64,共8页
Journal of Xi'an Jiaotong University
基金
国家自然科学基金重点资助项目（51535009,51375384)
关键词
大型船用鼓形齿联轴器
最优位移圆半径
变倾角
响应面
有限元分析
huge-scale marine crown gear coupling
optimum displacement circle radius
variable shaft angle
response surface methodology
finite element analysis
