Title:Flexible Robots - Modeling and SimulationAuthor(s):Hartmut BremerAbstract:Modelling and simulation needs adequate procedures. These can be devided into the analytical and the synthetic methods the basis of which is the Central Equation of Dynamics (1904/1988), derived from LAGRANGE’s Principle (1764). The analytical methods [LAGRANGE (1780), MAGGI (1903), HAMEL (1904)] thereby do not really meet the engineering needs. But the Central Equation also leads to the synthetical method(s) which in its most general representation is the Projection Equation (1988/2003). Along with a RITZ series expansion it leads to an Order-n-Formalism for flexible robots as the most powerful procedure, approximating also real time demands (2008/2011). The historical data show a countinuous development over the decades which makes mechanics an enjoyable and inspiring science and reveals classical mechanics as modern as can be. Applications at the end of the paper demonstrate once more its success.Booktitle:Proceedings of the International Conference on Advanced Dynamics and Model Based Control of Structures and Machines, 1-4 July 2012, Saint Petersburg, RUSSIAPage Reference:10 page(s)Publishing:2012