In multibody dynamics, the flexibility effects of each body are captured by using a linear combination of elastic mode shapes. If a co-rotational and co-translating frame of reference is used together with eigenvectors of the unconstraint body, which are free-surface modes, some spatial integrals in the floating frame of reference configuration do vanish. The corresponding coordinate system is the so-called Tisserand (or Buckens) reference frame. In the present contribution, a technique is developed for separating an arbitrary elastic mode shape into a pseudo-free-surface mode and rigid body modes. The generated pseudo-free-surface mode has most of the advantageous characteristics of a free-surface mode, and spans together with the rigid body modes the same solution space as it is spanned by the original mode shape. Due to the fact that, in the floating frame of reference configuration, the rigid body motions are already described by special generalized coordinates, only the resulting pseudo-free-surface modes are finally used to capture the flexibility effects of each body. A result of the generated pseudo-free-surface modes is that some of the spatial integrals do vanish and, thus, the equations of motion are significantly simplified. Two examples are presented in order to illustrate and to demonstrate the potential of the proposed method.
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e-mail: karim.sherif@lcm.at
e-mail: irschik@mechatronik.uni-linz.ac.at
e-mail: wolfgang.witteveen@fh-wels.at
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April 2012
Research Papers
Transformation of Arbitrary Elastic Mode Shapes Into Pseudo-Free-Surface and Rigid Body Modes for Multibody Dynamic Systems
Karim Sherif,
Karim Sherif
Research and Development Engineer
Dynamics and Structural Control, Linz Center of Mechatronics, Linz, 4040,
e-mail: karim.sherif@lcm.at
Austria
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Hans Irschik,
e-mail: irschik@mechatronik.uni-linz.ac.at
Hans Irschik
Professor and Head
Institute of Technical Mechanics, Johannes Kepler University of Linz
, Linz, 4040, Austria
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Wolfgang Witteveen
e-mail: wolfgang.witteveen@fh-wels.at
Wolfgang Witteveen
Upper Austria University of Applied Sciences
, Wels, 4600, Austria
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Karim Sherif
Research and Development Engineer
Dynamics and Structural Control, Linz Center of Mechatronics, Linz, 4040,
Austria
e-mail: karim.sherif@lcm.at
Hans Irschik
Professor and Head
Institute of Technical Mechanics, Johannes Kepler University of Linz
, Linz, 4040, Austria
e-mail: irschik@mechatronik.uni-linz.ac.at
Wolfgang Witteveen
Upper Austria University of Applied Sciences
, Wels, 4600, Austria
e-mail: wolfgang.witteveen@fh-wels.at
J. Comput. Nonlinear Dynam. Apr 2012, 7(2): 021008 (10 pages)
Published Online: January 6, 2012
Article history
Received:
February 28, 2011
Revised:
September 26, 2011
Accepted:
September 26, 2011
Online:
January 6, 2012
Published:
January 6, 2012
Citation
Sherif, K., Irschik, H., and Witteveen, W. (January 6, 2012). "Transformation of Arbitrary Elastic Mode Shapes Into Pseudo-Free-Surface and Rigid Body Modes for Multibody Dynamic Systems." ASME. J. Comput. Nonlinear Dynam. April 2012; 7(2): 021008. https://doi.org/10.1115/1.4005237
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