... 12 2011 many-body problems matrix algebra vectors vehicle dynamics In this paper, a simple topological way to improve the efficiency of Maggi’s formulation, based on a double velocity transformation, will be described. It is known that the presence of rods (slender elements with two...

... technique. Finally, a slider-crank mechanism with eccentricity is considered as an example of application in order to illustrate how the violation of constraints can be affected by different factors. 30 07 2009 10 12 2009 13 10 2010 13 10 2010 Laplace transforms many-body...

... Syst. Dyn. 1384-5640 10.1023/A:1009710818135 , 2 ( 2 ), pp. 169 – 225 . 30 11 2007 04 08 2008 09 03 2009 differential algebraic equations integration Jacobian matrices joining processes linearisation techniques many-body problems mechanical products...

... strictly more equations than variables. The ability to solve such systems is relevant for several classes of applications such as multibody dynamics and molecular dynamics. convergence of numerical methods crankcases friction impact (mechanical) integration kinematics many-body problems...

... simulation interactive systems iterative methods many-body problems mechanical engineering computing DAE systems numerical stability modular modeling interactive simulation Traditionally, a mechanical engineer in charge of the design of a mechanism with some expected behaviors starts...

... are not repeated here. The following paragraphs discuss methods that were developed after their review paper appeared. 16 11 2006 18 06 2007 02 11 2007 differential algebraic equations many-body problems N-body problems constrained multibody dynamics constraint conditions...

...” and by the government of Upper Austria within the framework “Industrielle Kompetenzzentren und Netzwerke.” 29 09 2006 20 03 2007 algebra diesel engines differential equations dynamics elastic deformation many-body problems Nowadays, the simulation of multibody dynamics is a well...

... out by von Dombrowski ( 38 ). In any case, the stiffness matrix K a is highly nonlinear and requires special evaluation as shown by Shabana ( 19 ). 03 05 2005 24 05 2005 vibrations flexible structures many-body problems nonlinear dynamical systems linear systems...

... structures. Analysis of complex systems becomes impossible without using powerful computer-aided numerical methods. One can find a wide review of various approaches in the literature ( 1 ). deformation many-body problems flexible structures plastic deformation finite element analysis...