Isotropy Analysis of Parallel Six-Axis Accelerometer on Circular Hyperboloids

This paper introduced the isotropic accelerometer using the circular hyperboloids method, which based on modified Gough-Stewart platform (GSP). By the static model of the accelerometer, the isotropy is defined on the acceleration matrix. On the basis of the isotropy condition, the relationship between isotropy index and geometric parameters of circular hyperboloids was investigated. Calculating the isotropy index by the optimization tool, this paper verified that it is feasible to achieve isotropy for the accelerometer. Then taking mass into account, a case is presented to optimize the parameters to construct isotropic accelerometer on circular hyperboloids. According to the 3D model of isotropic accelerometer, the static characteristic simulation was carried out by the finite element method. Based on the simulation experimental results, the calibration matrix was deduced, and the experimental isotropy index was obtained. Comparing the theoretical and experimental isotropy index, the method of circular hyperboloids was proved to be reliable and valid to construct isotropic accelerometer.