Table 5 Non-dimensional natural frequencies of clamped-free rods with A(x) = Ao sin³ (ax + b) for various values of a (L

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Table 5 Non Dimensional Natural Frequencies Of Clamped Free Rods With A X Ao Sin Ax B For Various Values Of A L 1 (105.57 KiB) Viewed 32 times

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Table 5 Non-dimensional natural frequencies of clamped-free rods with A(x) = Ao sin³ (ax + b) for various values of a (L₁ = 0, L2 = 1, b = 1) a = 0.25π-0.5b a=0.5π - b 1.448094 4.673935 7.831015 Mode 1 2 3 4 5 6 Mode 1 2 34563 10.979190 14.124430 17.268341 Table 6 Non-dimensional natural frequencies of clamped-free rods with A(z) = Ao sin³ (ax + b) for various values of b (L₁ = 0, L2=1, a = π- 2b) Mode 1 2 3 4 5 6 b=0.9 1.524289 4.771651 7.896713 11.027629 14.162600 17.299778 1.410623 4.663228 7.824694 10.974696 14.120941 17.265490 n=1 1.568123 4.715830 7.856372 10.997350 14.138571 17.279918 b=1 1.547041 4.743064 7.875459 11.011552 14.149801 17.289183 a = 0.75-1.5b 1.444102 4.679553 7.834857 10.982032 14.126673 17.270189 11.002678 14.142783 17.283392 b = 1.1 1.560065 4.726399 7.863580 11.002673 14.142767 17.283374 Table 7 Non-dimensional natural frequencies of clamped-free rods with A(x) = Ao sin" (ax + b) for various values of n (L1 = 0, L2=1, a = π- 2b, b = 1) n = 2 1.560155 4.726102 7.863537 a = π- 2b 1.547041 4.743064 7.875459 11.011552 14.149801 17.289183 n=3 1.547041 4.743064 7.875459 11.011552 14.149801 17.289183 b = 1.2 1.566753 4.717714 7.857574 10.998220 14.139250 17.280475 n = 4 1.529023 4.766484 7.892108 11.023967 14.159624 17.297288