Multibody Systems - approaches and challenges

Any new rigid solid with constrained motion introduces minimum seven new equations (the case of a single constraint) and maximum eleven new equations (the case of five independent constraints). [...]it is possible that the system admits only certain motions, fact that leads to the apparition of the redundant equations. The problem of the determination of the equilibrium positions still remains an open one, while the numerical methods used to solve the problem have the disadvantage of a convergence limited to a particular domain (generally, a small one) around the solution. [...]the system may lead to the existence of many equilibrium positions, the number of them being impossible to be a priori determined. [...]the field of multibody systems is a domain with numerous future directions of research.