Abstract
With the method of analytical mechanics, this paper studies the motions of a gyrotheodolite under the action of (1) the torque of gravity only, (2) the torque applied by the band suspension, (3) the torque of the band suspension with air damping considered, the equations of motion are then established and their solutions are found. Furthermore, analysis of the law of motion and the behaviour of gyro-theodolite during the orientation is made.
Similar content being viewed by others
References
Cheng Bin,Analytical Dynamics, Peking University Publishing House. (in press)
Zhu Zhao-xuan, Zhou Qi-zhao and Yin Jin-sheng,Theoretical Mechanics, Peking University Publishing House (1982), 217–255. (in Chinese)
Nikolai, Ye.L.The Theory about Gyroscope, The Science Publishing House (1956), 84–93. (Chinese Version)
Xiao Shang-bin and Dong Qin-quan,Gyro Mechanics, The People's Education Publishing House (1980), 59–61. (in Chinese)
The gyro-theodolite group, Tangshan Institute of the Coal Mine Academy,The Basic Theory, Construction and Orientation about Gyro-Theodolite, The Coal Industry Publishing House (1982), 77–84. (in Chinese)
The teaching and research section about surveying, China Mining Institute,The Mine Surveying, The Coal Industry Publishing House (1979), 159–180. (in Chinese)
Li Qing-yue,Engineering Surveying, The Survey and Drawing Publishing House, (1984), 245–272. (in Chinese)
Liu Yan-bo, Engineering Surveying, The Metallurgical Industry Publishing House (1984), 248–272. (in Chinese)
Wang Hong-Ian, A dynamical theory of the orientation of a gyro-theodolite,Mine Surveying, 3 (1985), 43–46. (in Chinese)
Kazakovskii, D.A.,The Mine Surveying, Moscow Publishing House (1959), 461–470. (in Russian)
Arnold, N.N. and L. Maunder,Gyrodynamics, Academic Press, New York and London (1961).
Author information
Authors and Affiliations
Additional information
Communicated by Zhu Zao-xuan
Rights and permissions
About this article
Cite this article
Hong-lan, W. Analysis of the motion of a gyro-theodolite. Appl Math Mech 8, 889–900 (1987). https://doi.org/10.1007/BF02019527
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02019527