【摘要】 给出了一种惯性测量单元(IMU)系统结构,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IMU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,其结果更接近于实际;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。更多还原

【Abstract】 A framework of inertial measurement unit is designed and the B-spline wavelet finite element model of IMU is worked out.A new finite element space is studied in which the scaling function of B-spline wavelet is considered 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,and its result is more close to practical.Finally,simulation results verify the proposed model and give the modal value of every order.Compared with the traditional FEM,the wavelet FEM has good astringency,the agile ability of grid partition and the feature to solve problems fast.更多还原