Dynamical analysis of a 2-degrees of freedom spatial pendulum
10.15660/AUOFMTE.2018-2.3385
Stelian Alaci, Florina-Carmen Ciornei, Sorinel-Toderas Siretean, Mariana-Catalina Ciornei, Gabriel Andrei Ţibu
Volume XXVII (XVII), 2018/2
A spatial pendulum with the vertical immobile axis and horizontal mobile axis is studied and the differential equations of motion are obtained applying the method of Lagrange equations. The equations of motion were obtained for the general case; the only simplifying hypothesis consists in neglecting the principal moments of inertia about the axes normal to the oscillation axes. The system of nonlinear differential equations was numerically integrated. The correctness of the obtained solutions was corroborated to the dynamical simulation of the motion via dynamical analysis software. The perfect concordance between the two solutions proves the rightness of the equations obtained.
2-degrees of freedom, spatial pendulum
ISSN 1583-0691, CNCSIS "Clasa B+"