Simple mathematical model of vibratory gyroscopes imperfections is formulated, which includes anisotropic damping and variation of mass-stiffness parameters and their harmonics. The method of identification of parameters of the mathematical model from the experimental data is based on transformation of the system of linear differential equations of the model into an overdetermined system of linear algebraic equations with subsequent matching of the system parameters by means of the least squares method. Example of practical calculations of parameters of a vibratory gyroscope is considered and it is shown by direct solution of equations of motion that the method gives a good result
Reference:
Shatalov, MY and Lunin, BS. 2007. Vibratory gyroscopes : identification of mathematical model from test data. Proceedings of the 14th International Conference on Integrated Navigational Systems (ICINS), St. Petersburg, Russia, 28-30 May, pp 6.
Shatalov, M., & Lunin, B. (2007). Vibratory gyroscopes : identification of mathematical model from test data. http://hdl.handle.net/10204/3202
Shatalov, MY, and BS Lunin. "Vibratory gyroscopes : identification of mathematical model from test data." (2007): http://hdl.handle.net/10204/3202
Shatalov M, Lunin B, Vibratory gyroscopes : identification of mathematical model from test data; 2007. http://hdl.handle.net/10204/3202 .