Ei

('•./ 1 >('•./> (1+ '+/) and the mass matrix is

U ~ ij (i + 1 ) (I + 2) (j + 1 ) (j + 2) (/ + j + 3) (I + j + 4) (/ + j + 5) 4 [imi

Kij - , ;-, ;> #1 , .. , (i, j = 1,2 «) (2.302)

Results from this calculation are given in Tables 2.5 and 2.6 for the first two modes. It is clear that these results are much better than those obtained with the clamped-free beam modes. It is not unusual for polynomial functions to provide better results than those obtained with beam mode shapes. However, here it is worth

Table 2.6. Approximate Values of coiyf mI4/(EI) for Clamped-Free Beam with Tip Mass of ¡j. mi Using n Polynomial Functions

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