A Hybrid Formulation for Modelling Multibody Spacecraft

Andrea Pisculli, Leonard Felicetti, Marco Sabatini, Paolo Gasbarri, Giovanni Battista Palmerini

Abstract


In order to simulate the behavior of a space multibody system, the paper shows the possibility of shifting from a Newton Euler (NE) multibody approach to Lagrange Euler (LE) like formulation of equations of motion. The NE is convenient to understand and to write down the mechanics equations of the system, but the EL based equations of motion show a minimal mathematical complexity and a minimum number of equations in a minimum number of variables. The proposed procedure also allows to swiftly turn back to the NE formulation to calculate the reaction forces and torques among the bodies. The overall revised hybrid formulation, built by mixing both NE and EL approaches, is applied for simulating the deploying phase of spacecraft solar panels.


Full Text:

PDF

References


P. Santini, P. Gasbarri, Dynamics of multibody systems in space environment: Lagrangian vs. Eulerian approach, Acta Astronautica, Vol. 54, No. 1, pp. 1-24, 2004.

P. Santini, P. Gasbarri, General background and approach to multibody dynamics for space applications, Acta Astronautica, Vol. 64, No. 11, pp. 1224-1251, 2009.

P. Gasbarri, A two-dimensional approach to multibody free dynamics in space environment, Acta Astronautica, Vol. 51, No. 12, pp. 831-842, 2002.

A.A. Shabana, Dynamics of Multibody Systems, 3rd Ed., Cambridge University, 2005.

T.R. Kane, D.A. Levinson, Dynamics: Theory and Applications, McGraw Hill, 1985.

R.N. Jazar, Advanced Dynamics: Rigid Body, Multibody, and Aerospace Applications, Wiley, 2011.

B. Siciliano, L. Sciavicco, L. Villani, G. Oriolo, Robotics: modelling, planning and control, Springer, 2009.

L. Meirovitch, Methods of Analytical Dynamics, Dover Pub., 2004.

P. Gasbarri, R. Monti, M. Sabatini, Very large space structures: Non-linear control and robustness to structural uncertainties, Acta Astronautica, Jul. 2013.

A. Pisculli, L. Felicetti, P. Gasbarri, G.B. Palmerini, M. Sabatini, Deployment analysis and control strategies of flexible space manipulators, Prooceedings of the 64th International Astronautical Congress, Beijing, China, 2013.

P.C. Hughes, Spacecraft Attitude Dynamics, Dover ed., 2004.




DOI: http://dx.doi.org/10.19249/ams.v94i2.126

Refbacks

  • There are currently no refbacks.


Copyright © 2018. All Rights Reserved.