A method for adding static external forcing to invariant manifolds

摘要

We present a new method for applying static forcing to invariant manifolds without breaking their invariance. This done by retaining only the applied force component tangential to the manifold surface. Outlined for a system with two degrees of freedom (dof) and exemplified through a six dof system, results show an improved performance compared to other methods of applying forcing directly on invariant manifolds. Means of estimating the error using the present method is presented. Typical areas of application are biasing or inclusion of dampening forces to reduced order models.