基于B样条小波有限元激光陀螺抖轮的分析

Analysis of Dither of Laser Gyro Based on B-Spline Wavelet Finite Element

建立了激光陀螺抖轮的三维有限元模型,对其振动特性进行了模态分析,建立了整个模型B样条小波有限元模型;研究了一类新的有限元空间,它以B样条小波函数作为有限等参元的形状函数;建立了模型的B样条小波有限元序列,利用B样条小波函数的变尺度特性在不改变网格的剖分下提高分辨率,因此在处理局部应力集中,曲率分布突变边界等应用中具有一定的优势,所以它的结果更接近于实际。最后对系统模型进行了仿真,给出了各个阶次模态值,通过与传统有限元比较发现小波有限元具有收敛性好、求解迅速和网格划分灵活等优点,这对于激光陀螺抖轮的优化设计具有重要参考价值。

The 3D ifnite element modal of dithering system of laser gyroscope is constructed in this paper,and the modal analysis for its vibration characteristic is performed.A new finite element space is studied,in which the scaling function of B-spline wavelet is consider as the shape function of tetrahedron.The resolution is improved via the varying gradient of the B-spline function under the condition of unchanging gridding.So there are some advantages in dealing with the focus force and a high varying gradient.The result is more practical.At last the model of system is simulated,the model value of every order is given.Comparing with the tradition FEM,the Wavelet FEM has advantages of well astringency,solution fast and griding agility.The results of study is useful to the research of the design of dithering system.