Abstract
The governing equations for multibody systems are, in general, formulated in the form of differential algebraic equations (DAEs) involving the Lagrange multipliers. It is desirable for efficient and accurate analysis to eliminate the Lagrange multipliers and dependent variables. As a method to solve the DAEs by eliminating the Lagrange multipliers, there is a method called the null space method. In a previous report, the author presented a method which extends the null space method and reduced the order to the degree of freedom of the system. However, the presented method is for a system with constraints not depending on time explicitly. In this report, a method applicable to a system with constraints depending on time explicitly is presented. Finally, the presented method is applied to four-bar linkages.
