Evaluation of permissible amplitudes of external impact on free-of-platform inertial navigation systems

Sergii Pogorilov, Valerij Havin
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Abstract

In modern aerospace technology, strapdown inertial navigation systems (SINS) are widely used, using fiber-optic (FOG) or ring laser (CLG) gyroscopes. During the operation of such systems, the sensitivity axes are rotated relative to the basic coordinate system. The resulting angles between the axes of the base coordinate system and the axes of sensitivity of the navigation system (non-orthogonality) are one of the factors leading to an increase in the measurement errors of the device, which affects the measurement accuracy. During operation, the system is affected by vibrations of various nature, the impact of which can contribute to the appearance of non-orthogonality. The purpose of this work is to determine the maximum permissible vibration amplitudes affecting the SINS body according to the permissible values ​​of the deviation of the FOG sensitivity axes for two variants of the SINS layout. An approach to determining the permissible amplitudes of an external harmonic impact on the unit of a strapdown inertial navigation system based on fiber-optic or ring laser gyroscopes is considered. A design scheme, mathematical and finite element models for calculating natural frequencies and forced oscillations of a strapdown inertial navigation system unit have been developed. In various frequency ranges, numerical calculations have determined the boundary values ​​of the amplitudes of the external harmonic impact on the base of specific configurations of the SINS assembly. It has been established that dangerous states take place in the region of the 1st natural frequency of the system, as well as near higher frequencies. Comparison of the results for design options 1 and 2 allows us to conclude that in order to weaken the effect of vibrations on the accuracy of the SINS unit, it is advisable that the lowest natural vibration frequencies for the SINS assembly be as high as possible (more than 1000 Hz). Key words: vibration; fiber optic gyroscope; strapdown inertial navigation system; finite element method; natural frequencies and modes of vibration.
对自由平台惯性导航系统的外部冲击允许幅值的评估
在现代航空航天技术中,捷联惯性导航系统(SINS)被广泛应用,它采用光纤(FOG)或环形激光(CLG)陀螺仪。在这种系统的运行过程中,敏感轴相对于基本坐标系旋转。由此产生的基坐标系轴线与导航系统敏感轴之间的夹角(非正交性)是导致设备测量误差增大的因素之一,影响测量精度。在运行过程中,系统受到各种性质的振动的影响,这些振动的影响可能导致非正交性的出现。本工作的目的是根据两种捷联惯导系统布局的FOG灵敏度轴偏差允许值,确定影响捷联惯导系统主体的最大允许振动幅值。研究了一种确定基于光纤或环形激光陀螺仪的捷联惯性导航系统单元外部谐波影响的允许幅值的方法。提出了捷联惯导系统单元固有频率和受迫振荡的设计方案、数学模型和有限元模型。在不同的频率范围内,通过数值计算确定了在捷联惯导系统特定结构基础上的外谐波冲击幅度的边界值。已经确定,危险状态发生在系统的第一个固有频率区域,以及接近更高的频率。比较设计方案1和2的结果,我们可以得出这样的结论:为了削弱振动对捷联惯导系统单元精度的影响,建议捷联惯导系统组件的最低固有振动频率尽可能高(超过1000 Hz)。关键词:振动;光纤陀螺仪;捷联惯性导航系统;有限元法;固有频率和振动模式。
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