The in-plane vibration analysis of frames connected at an arbitrary angle is performed using wave propagation method as proposed in [1]. The earlier work done by Mei in [1] and [2] were limited to frames having orthogonally connected members. In the present work, the procedure is extended for interconnecting members at an arbitrary angle. The wave propagation based method used in this work is computationally efficient compared to finite element method. Thus, optimal angular orientation of the intermediate member is found for minimal vibration transmission from the source to the target structure. © 2016 The Authors.