A New Algorithm for an Efficient Stabilized Index Two STF for the Original ADAMS Computer Program

Abstract

Numerical integration methods such as Index Two (I2) and Stabilized Index Two (SI2) gave good results. However, one of their drawbacks, especially for SI2 is an increase of the number of equations with a decrease of sparsity, that somehow reduces the simulation productivity. At the same time methods like I2 and Index One (I1) that use only velocity and accelerations constraints, when simulating tough problems, produce a drift in the displacements so that the geometrical constraints are not satisfied anymore. Hence, an ideal solution will be to use a stabilized method that satisfies the geometric constraints, like the Index Three (I3), reduces the noise in the acceleration and Lagrange Multipliers, as the SI2, at the same time, maintaining the number of equation and sparsity of I3. In this way the simulations produce correct results with good productivity. This paper discusses such an algorithm.