Transcription of d for judging the “significance” of a vibration
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1 EFFECTIVE MODAL MASS & MODAL PARTICIPATION FACTORS Revis ion I By Tom Irvine Ema il: December 11, 2015 _____ Introduction The effective modal mass provides a method for judging the significance of a vibration mode. Modes w ith re lative ly high effective masses can be readily exc ited by base excitation. On the other hand, modes w ith low effective masses cannot be readily e xcited in this manner. Cons ider a moda l tra ns ient or frequency response function ana lys is via the finite ele ment method. Als o cons ider that the system is a multi-degree-of-freedom system. For brevity, only a limited number of modes should be inc luded in the analys is. How many modes should be inc luded in the analys is? Perhaps the number should be enough s o that the tota l effective moda l mass of the mode l is at least 90% of the actua l mass.
2 A solution to the homogeneous form of equation (1) can be found in terms of eigenvalues and eigenvectors. The eigenvectors represent vibration modes.
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