Open Access. Powered by Scholars. Published by Universities.®
Missouri University of Science and Technology
Gyro compass<br />Dynamics -- Mathematical models<br />Lagrange equations<br />Runge-Kutta formulas
Articles 1 - 1 of 1
Full-Text Articles in Mechanical Engineering
Dynamic Response Of A Gyrocompass, Subhash Govind Kelkar
Dynamic Response Of A Gyrocompass, Subhash Govind Kelkar
Masters Theses
"A gyrocompass with three degrees of freedom is studied and an attempt made to solve the exact equations of motion numerically. The equations are obtained by using the Lagrange formulation of the problem. The kinetic energy and the potential energy of the system are determined from the energies of the various components. These are then substituted into Lagrange's equation to obtain the three equations of motion for the three angular coordinates. As few restrictive assumptions as possible are made during this development. From these exact equations of motion an approximate analytical solution is obtained by making several assumptions and then …