CAJ | 학술논문

针对多支撑轴系分析的难点,提出一种考虑轴承刚度耦合性和非线性的有限元计算方法.建立一种轴承单元,考虑了轴承刚度的耦合性和非线性及轴承预紧、滚子锥角等细节因素,推导得到了轴承单元刚度矩阵的解析表达式.采用考虑了剪切变形的欧拉梁单元建立轴模型,将轴与轴承模型进行组合得到系统计算模型,并采用NR法进行求解.通过算例验证,所提出的方法能够准确地计算出给定外载荷下多支撑轴系中各轴承各方向的载荷和系统的变形,且具有较高的计算效率,适用于多支撑轴系问题的分析计算.
침대다지탱축계분석적난점,제출일충고필축승강도우합성화비선성적유한원계산방법.건립일충축승단원,고필료축승강도적우합성화비선성급축승예긴、곤자추각등세절인소,추도득도료축승단원강도구진적해석표체식.채용고필료전절변형적구랍량단원건립축모형,장축여축승모형진행조합득도계통계산모형,병채용NR법진행구해.통과산례험증,소제출적방법능구준학지계산출급정외재하하다지탱축계중각축승각방향적재하화계통적변형,차구유교고적계산효솔,괄용우다지탱축계문제적분석계산.
A non-linear finite element calculation method based on the coupling and nonlinearity of bearing stiffness is presented to solve the difficulties for the analysis of multi-support shaft system. A bearing element is built in the present method. The coupling and nonlinearity of bearing stiffness, the preload of bearing, the roller taper angle, and the other details are considered, and the analytical expression of bearing stiffness matrix is deduced. The shaft is modeled by Euler beam element with shear deformation, and system computational model is assembled by the model of shaft and bearings. The NR method is used to solve the model. An example shows that this method can calculate the load of each bearing in every direction and the shaft deformation for multi-support shaft system by given external load correctly. This method has high computational efficiency, and is suitable for the analysis of multi-support shaft system.