Abstract
The Central Equation of Dynamics allows a unified view on existing methods and reveals them as a specific view on one and the same classical mechanics. Thereby, the particular methods exhibit special advantages and disadvantages according to the aim of investigation. For the derivation of the motion equations, the analytical methods display some drawbacks: the use of non-holonomic velocities needs an enormous effort and non-holonomic constraints can not à-priori be considered. Due to the directional derivatives w.r.t. the angular velocities, the obtained linearized equations do not represent the motions w.r.t. the co-rotational frame(and any orthogonal frame, resp.) as usually requested. This fact may lead to severe misinterpretations. In elastic multi body systems, the calculation effort increases dramatically. All these drawbacks are removed when using the Projection Equation
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References
H.Bremer: Elastic Multibody Dynamics — A Direct Ritz Approach. Springer, ISBN 978-1-4020-8679-3, August 2008.
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Bremer, H. (2010). Problems in Fast Moving Non-Holonomic Elastic Systems. In: Irschik, H., Krommer, M., Watanabe, K., Furukawa, T. (eds) Mechanics and Model-Based Control of Smart Materials and Structures. Springer, Vienna. https://doi.org/10.1007/978-3-211-99484-9_3
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DOI: https://doi.org/10.1007/978-3-211-99484-9_3
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-99483-2
Online ISBN: 978-3-211-99484-9
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