摘要
针对传统有限元方法分析时存在的数值振荡问题,采用了基于B样条小波的有限元分析方法.以四阶B样条小波的张量积空间尺度函数作为插值函数,构造相应的小波单元,并根据离合器接合过程中摩擦副的轴对称热传导方程,结合Galerkin法建立了离合器温度场小波系数空间的有限元模型,实现了小波系数空间到物理空间的转换.通过对某装甲车换档离合器温度场数值计算分析,结果表明,在大梯度温度场问题分析上,B样条小波有限元法可有效地减少数值振荡、提高计算精度和效率,为改进离合器的摩擦副设计和接合过程控制提供了一种有效途径.
A finite element method based on B-spline wavelet was proposed aiming at the oscillation occuring in the numerical solution of high gradient temperature field by the traditional finite element method. A wavelet-based element was constructed, whose shape function was built by the scaling functions of 4th order B-spline tensor product. The finite element mode for the temperature field of clutches in the wavelet coefficient space was built with the Galerkin method based on the axisymmetric heat conduction equations of clutches in the engagement. The transformation from wavelet coefficient space to physics space was studied. The numerical example of the temperature field of clutches in an armored car was presented. Results show that the oscillation was reduced greatly and the precision was improved in the analysis of high gradient temperature field by B-spline wavelet finite element method, which provided an effective approach to improve the clutch design and the engagement control.
出处
《浙江大学学报（工学版）》
EI
CAS
CSCD
北大核心
2009年第1期143-147,共5页
Journal of Zhejiang University：Engineering Science
关键词
离合器
温度场
小波有限元
B样条小波
clutch temperature field
wavelet finite element
B-spline wavelet
