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Abstract
AbstractGyroscope devices are primary units for navigation and control systems in aviation and space engineering. The main property of the gyroscope is maintaining the axis of a spinning rotor, based on the principles of the angular momentum of the spinning rotor. However, the nature of the gyroscope’s acting forces and motions is more complex. The torque applied to the gyroscope generates the internal resistance and precession torques based on acting simultaneously and interdependently, namely, centrifugal, common inertial and Coriolis forces generated by the mass elements of the spinning rotor as well as changes in angular momentum. This system of internal torques based on new fundamental principles of the gyroscope theory that enabled deriving the mathematical model for the motions of a gyroscope suspended from the flexible cord, which was a most unsolvable problem. The test results of the gyroscope motions well validated the new analytical approach.
Highlights
It is found that the acting torques do not generate the sensitive reactive force on the support that the new gyroscope property was proven analytically and practically, which should be taken into account for engineering computing
The mathematical models for the gyroscope motions suspended from the flexible cord, as well as the action of the external and internal torques, are validated by practical tests
The known mathematical models for the gyroscope theory are mainly based on the action of the external torque applied and the change in the angular momentum of the spinning rotor
Summary
Ryspek Usubamatov graduated from Bauman Moscow State Technical University in 1966 He obtained Professional Engineer Diploma in Mechanical, Manufacturing and Industrial Engineering, PhD in Automation of Manufacturing Processes in 1972 and Doctor of Technical Sciences in 1993. He worked as engineer-designer of machine tools at engineering company and lecturer and researcher in a number of universities in Central Asia and Malaysia. He has supervised around 100 Professional Engineer students, 15 Master of science, 7 Doctoral and Post Doctoral students in his areas of interest. His key research activities are Productivity Theory for Industrial Engineering and Gyroscope Theory that represented by 7 books, 30 brochures and more than 300 manuscripts and 60 patents of inventions in engineering
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