Application of Singular Value Decomposition in Component Mode Synthesis with Experimentally Approach in Plate

Numerical problems arising from lack of suitable selection of coordinates in substructures’ modal models lead to absurd results and gross the errors. In the present paper numerically problems that are normally associated with coupling procedures when experimentally approaches employ, are discussed. For this purpose, free interface component mode synthesis (CMS) method is described. CMS is a coupling approach that employs experimentally generated data. Redundancy in modal model is also expressed. Afterward, to recognize proper modal coordinates that required in coupling process, singular value decomposition is used as a most powerful mathematical tool. In addition, to decrease the redundancy errors an algorithm is employed that eliminates extra degrees of freedom (DOFs). Using two continues model (strip of sheet and plate) and one empirical plate model, the efficacy of these methods and their eliminations are estimated. According to the results, modal redundancy errors are evident well in plates and effects of methods which employed to decrease these errors can be observed, easily.