Nonlinear model order reduction for flexible multibody dynamics: A modal derivatives approach

Nonlinear model order reduction for flexible multibody dynamics: A modal derivatives approach

Wu, L.
Tiso, P.

Mechanical, Maritime and Materials Engineering

Precision and Microsystems Engineering

2015-11-03

An effective reduction technique is presented for flexible multibody systems, for which the elastic deflection could not be considered small. We consider here the planar beam systems undergoing large elastic rotations, in the floating frame description. The proposed method enriches the classical linear reduction basis with modal derivatives stemming from the derivative of the eigenvalue problem. Furthermore, the Craig–Bampton method is applied to couple the different reduced components. Based on the linear projection, the configuration-dependent internal force can be expressed as cubic polynomials in the reduced coordinates. Coefficients of these polynomials can be precomputed for efficient runtime evaluation. The numerical results show that the modal derivatives are essential for the correct approximation of the nonlinear elastic deflection with respect to the body reference. The proposed reduction method constitutes a natural and effective extension of the classical linear modal reduction in the floating frame.

geometric nonlinearity
floating frame of reference
modal derivatives
Craig–Bampton method

http://resolver.tudelft.nl/uuid:4e298eb3-2f14-405b-9f9b-f289ce35e204

Springer

1384-5640

https://doi.org/10.1007/s11044-015-9476-5

Multibody System Dynamics, 2015

Institutional Repository

journal article

© 2015 The Author(s)
This article is published with open access at Springerlink.com