Use of Principal Axes as the Floating Reference Frame for a Moving Deformable Body
- 186 Downloads
In this paper a method to adopt the principal axes of a deformable body as its body-attached frame is presented. The deformable body in a multibody setting is allowed to deform while it undergoes rigid-body motion. The fundamental concepts of imposing the principal axes as a moving reference frame are that the origin of the frame must remain at the instantaneous mass center and that the three products of inertia must remain zero as the body deforms. These conditions require the construction of several auxiliary matrices that are used in the constraint equations at the position, velocity, and acceleration levels. These auxiliary matrices are constructed only once and remain unchanged through the motion of the deformable body. The presented formulation does not depend on the type of finite element and multibody formulations or any associated assumptions.
Key Wordsprincipal axes body-attached frame floating frame deformable body multibody dynamics
Unable to display preview. Download preview PDF.
- 1.De Veubeke, B.F., ‘The dynamics of flexible bodies’, International Journal Engineering Science 14, 1976, 895–913.Google Scholar
- 2.Agrawal, O.P. and Shabana, A.A., ‘Application of deformable-body mean axis to flexible multibody system dynamics’, Computer methods in Applied Mechanics and Engineering 56, 1986, 217–245.Google Scholar
- 3.Canavin, J.R. and Likins, P.W., ‘Floating reference frames for flexible spacecraft’, J. Spacecraft 14(12), 1977, 724–732.Google Scholar
- 4.Gere, J.M., Mechanics of Materials, 5th ed. Brooks/Cole, 2000.Google Scholar
- 5.Nikravesh, P.E. and Lin, Y., ‘Body Reference Frames in Deformable Multibody Systems’, International Journal of Multiscale Computational Engineering 1(2/3), 2003, 201–217 (Begell House, Inc., 145 Madison Avenue, New York, NY 10016).Google Scholar