Abstract
This chapter will discuss some of the widely used techniques for modeling flexible multibody systems (MBS). Among the topics discussed in this chapter are the floating frame of reference (FFR) formulation and the absolute nodal coordinate formulation (ANCF). Discussion on the use of the CAD-based methods such as B-spline and NURBS (Non-uniform rational B-spline) will be also provided. The FFR formulation is used to study small deformation problems, while ANCF finite elements are used in the large deformation analysis.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bonet, J., & Wood, R. D. (1997). Nonlinear continuum mechanics for finite element analysis: Cambridge: Cambridge University Press.
Boresi, A. P., & Chong, K. P. (2000) Elasticity in engineering mechanics (2nd ed.). Wiley. Dierckx, P. (1993). Curve and surface fitting with splines. New York: Oxford University Press.
Farin, G. (1999). Curves and surfaces for CAGD, a practical guide (5th ed.). San Francisco: Morgan Kaufmann Publishers.
Hu, W., Tian, Q., & Hu, H. Y. (2014). Dynamics simulation of the liquid-filled flexible multibody system via the absolute nodal coordinate formulation and sph method. Nonlinear Dynamics, 75, 653–671.
Kreyszig, E. (1991). Differential geometry. Dover Publications.
Liu, C., Tian, Q., & Hu, H. Y. (2011). Dynamics of large scale rigid-flexible multibody system composed of composite laminated plates. Multibody System Dynamics, 26, 283–305.
Ogden, R. W. (1984) Non-Linear elastic deformations. Dover Publications.
Omar, M. A., & Shabana, A. A. (2001). A two-dimensional shear deformable beam for large rotation and deformation problems. Journal of Sound Vibration, 243(3), 565–576.
Piegl, L., & Tiller, W. (1997). The NURBS book (2nd ed.). New York: Springer.
Rogers, D. F. (2001). An introduction to NURBS with historical perspective. San Diego: Academic Press.
Shabana, A. A. (2012). Computational continuum mechanics (2nd ed.). Cambridge: Cambridge University Press.
Shabana, A. A. (2014). Dynamics of multibody systems (4th ed.). Cambridge: Cambridge University Press.
Sanborn, G. G., & Shabana, A. A. (2009). On the integration of computer aided design and analysis using the finite element absolute nodal coordinate formulation. Multibody System Dynamics, 22, 181–197.
Tian, Q., Chen, L. P., Zhang, Y. Q., & Yang, J. Z. (2009). An efficient hybrid method for multibody dynamics simulation based on absolute nodal coordinate formulation. ASME Journal of Computational and Nonlinear Dynamics, 4, 021009-1–021009-14.
Tian, Q., Sun, Y. L., Liu, C., Hu, H. Y., & Paulo, F. (2013). Elasto-hydro-dynamic lubricated cylindrical joints for rigid-flexible multibody dynamics. Computers & Structures, 114–115, 106–120.
Tian, Q., Xiao, Q. F., Sun, Y. L., Hu, H. Y., Liu, H., & Paulo, F. (2015). Coupling dynamics of a geared multibody system supported by elasto-hydro-dynamic lubricated cylindrical joints. Multibody System Dynamics, 33, 259–284.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 CISM International Centre for Mechanical Sciences
About this chapter
Cite this chapter
Shabana, A.A. (2017). Modeling of Flexible Bodies. In: Pfeiffer, F., Bremer, H. (eds) The Art of Modeling Mechanical Systems. CISM International Centre for Mechanical Sciences, vol 570. Springer, Cham. https://doi.org/10.1007/978-3-319-40256-7_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-40256-7_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-40255-0
Online ISBN: 978-3-319-40256-7
eBook Packages: EngineeringEngineering (R0)