Abstract
This paper reviews the weighted orthogonality property of modal vectors, the many Test-Analysis Model (TAM) transforms that have been developed to reduce Finite Element Model (FEM) based mass matrices and the Modal Assurance Criterion (MAC). These associated technologies have all been developed to try and correlate the FEM and experimentally obtained mode shapes. A case study is presented where the Effective Independence method for Degree-of-Freedom (DOF) selection was used to systematically reduce the DOF’s of the FEM and understand the effects of DOF reduction on MAC, the Guyan TAM and the System Equivalent Reduction/Expansion Process (SEREP) TAM.
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Mains, M.L. (2013). Orthogonality for Modal Vector Correlation: The Effects of Removing Degrees-of-Freedom. In: Simmermacher, T., Cogan, S., Moaveni, B., Papadimitriou, C. (eds) Topics in Model Validation and Uncertainty Quantification, Volume 5. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6564-5_13
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DOI: https://doi.org/10.1007/978-1-4614-6564-5_13
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