Smooth orthogonal decomposition based vibration mode analysis

Document Type

Conference Proceeding

Date of Original Version



In this paper, a new multivariate data analysis method called smooth orthogonal decomposition (SOD) is proposed to extract the mode shapes of a multi-degree-of-freedom discrete vibration system. It is demonstrated that for the undamped free vibration of a system, the computed smooth orthogonal modes approximate well the actual linear vibration modes. The same is also true for the lightly damped free vibration response of a system. In contrast to the intrinsic limitations of the proper orthogonal decomposition (POD) analysis, which requires the knowledge of the mass matrix to extract vibration modes and cannot uniquely identify the modal subspaces that have similar proper orthogonal values, SOD is shown to overcome these deficiencies. Numerical examples are provided to compare the performances of the POD and SOD in various types of vibration environment.

Publication Title, e.g., Journal

Conference Proceedings of the Society for Experimental Mechanics Series

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