{"title":"An Approach for Transient Response Calculation of large Nonproportionally Damped Structures using Component Mode Synthesis","authors":"Alexander A. Muravyov","country":null,"institution":"","volume":50,"journal":"International Journal of Mechanical and Mechatronics Engineering","pagesStart":413,"pagesEnd":427,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10048","abstract":"A minimal complexity version of component mode\r\nsynthesis is presented that requires simplified computer\r\nprogramming, but still provides adequate accuracy for modeling\r\nlower eigenproperties of large structures and their transient\r\nresponses. The novelty is that a structural separation into components\r\nis done along a plane\/surface that exhibits rigid-like behavior, thus\r\nonly normal modes of each component is sufficient to use, without\r\ncomputing any constraint, attachment, or residual-attachment modes.\r\nThe approach requires only such input information as a few (lower)\r\nnatural frequencies and corresponding undamped normal modes of\r\neach component. A novel technique is shown for formulation of\r\nequations of motion, where a double transformation to generalized\r\ncoordinates is employed and formulation of nonproportional damping\r\nmatrix in generalized coordinates is shown.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 50, 2011"}