A general technique to improve stability property for a structure-dependent integration method

A general technique is proposed to improve the stability property of a structure-dependent integration method, which is very computationally efficient in solving inertia-type problems when compared with conventional integration methods, by introducing a stability amplification factor into the coefficient matrices of difference equations. As a result, an improved structure-dependent integration method with a better stability property can be achieved. The concept, derivation, and validation of this technique are intensively studied and are presented in this work. It is evident that the technique can be applied to any structure-dependent integration method to enhance its stability property.