Experimental Transfer Path Contribution Study with the Projected Operational Forces Estimated from the Responses

This paper presents a study of experimental transfer path contribution with the estimation technique of the projected operational force under CVT clutch lockup operational condition. Since transfer path analysis is conducted with respect to the evaluation location, the forces applied onto the substructures are, therefore, also required to estimate the coherent operational forces. In order to estimate the forces, the coherent inertance matrix, which is the projection of the inertance matrix onto the subspace with respect to the evaluation location, is estimated without measuring it directly. The acceleration responses at the connections of the passive substructure are measured by the excitation at the evaluation location with reciprocity. The proposed technique decomposes the acceleration responses into the output and input element vectors on the subspace. With those vectors, the coherent full inertance matrix considering cross coupling effects is constructed. The coherent operational forces at the passive substructure can be estimated by the coherent operational accelerations, with respect to the evaluation location, pre-multiplied by the inverted coherent inertance matrix. As a result, the experimental transfer path contribution with respect to the evaluation location is calculated with these coherent estimated forces and the transfer functions of the passive substructure.