Advances in Vibration Analysis Research Part 3 docx

... 40-Elem. 20-Elem. 30 -Elem. 40-Elem. ω 1 36 1 .35 35 9.27 35 9.02 35 8.90 35 8.90 37 0.02 36 3.55 36 1.41 ω 3 2 938 .6 2940.5 2924 .3 2918.9 2918.9 30 12.4 2958.6 2952.72 ω 5 6980.6 7044.7 6966.0 6 939 .9 6 939 .8 7169.2 ... Mathematics, Vol. 24, No. 3, (August 1971) 2 63- 284, Online ISSN 1464 -38 55 - Print ISSN 0 033 -5614. Advances in Vibration Analysis Rese...

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... 1652. 23 ω 2 32 79.82 2978. 23 3272.97 32 49.60 32 50.92 32 44.20 32 95. 53 32 63. 30 32 52 .30 ω 3 5585.75 5296. 73 55 63. 57 5502.19 5508 .34 5488.74 5580.10 5520.47 5499.99 ω 4 82 43. 54 7872. 83 8208.29 ... 109 .34 0 109.0 63 108.206 108. 633 108.125 107. 132 107.670 105. 938 106.278 106.2 93 3 215.000 214.795 215.000 214.087 214. 230 214.688 2 13. 825 2 13. 986 214...

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... 0.77 - 0 137 .76 139 .82 1.47 - 1 286.69 290. 83 1. 43 - 7 2 470 .30 4 73. 95 0.77 - 0 137 .62 139 . 73 1.51 - 1 286.40 290.54 1. 43 - 9 2 469. 83 4 73. 16 0.70 - 0 137 .57 139 .61 1.46 - 1 286 .30 290.41 ... 472.55 4 73. 45 0.19 472.79 0 134 . 63 135 . 43 0.59 - 1 280.17 281.78 0.57 - 1 2 459.62 460.45 0.18 - 0 132 .70 133 . 63 0.69 - 1 276.19 278.04 0.67 - 3 2 4 53....

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... 4.694091 13 4.694091 13 4.694091 13 3 7.854757 7.85475744 7.85475744 7.85475744 C-S 1 2 .36 5020 2 .36 502 037 2 .36 502 037 2 .36 502 037 2 5.497806 5.4978 039 2 5.4978 039 2 5.4978 039 2 3 8. 639 380 8. 639 379 83 8. 639 379 83 ... ( π ) 3. 14159265 3. 14159265 3. 14159265 2 6.2 831 8 531 (2 π ) 6.2 831 8 531 6.2 831 8 531 6.2 831 8 531 3 9.42477796 (3 π ) 9.42477796 9....

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... stiffness matrix and 31 e is the reduced permeability constant of piezoelectric material as [ 13] ; ( ) 2 11 11 13 33 EE E E CC C C=− , ( ) 2 12 12 13 33 EE E E CC C C=− 31 31 13 33 33 EEE eeCeC=− ... ( ) 33 31 zzrr DEe θ θ Ξ εε =+ + (20) where 11 Ξ , 33 Ξ are the symmetric reduced dielectric constants of piezo layer and given by [17]; 2 33 33 33 33 () E eC ΞΞ =...

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... layered (see figure 3) of fiber inclusion reinforced laminate. The constitutive relations for each layer are described by 11 12 13 16 12 22 23 26 13 23 33 36 44 45 45 55 16 26 36 66 00 00 00 000 ... 2 .3 Damping modelling For lightly damped structures, effective results may be obtained by imposing the real damping assumption (real modeshapes). Advances in Vibration An...

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... K KKKK KK β β φ ⎡ ⎤ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎡⎤ = ⎢ ⎥ ⎡⎤ ⎣⎦ ⎣⎦ ⎢ ⎥ ⎢ ⎥ ⎡⎤ ⎢ ⎥ ⎣⎦ ⎢ ⎥ ⎡ ⎤ ⎢ ⎥ ⎣ ⎦ ⎣ ⎦ A4 Advances in Vibration Analysis Research 178 31 5 32 0 32 5 33 0 33 5 34 0 34 5 35 0 35 5 36 0 36 5 0 10000 20000 30 000 40000 50000 60000 70000 80000 90000 100000 ... Proceedings of indo-us symposium on emerging trends in vibration and noise engineering, pp. 59-70,...

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... great diffusion mainly in in situ experimental tests and has also been implemented in commercial codes. 216 Advances in Vibration Analysis Research Advances in Vibration Analysis Research 210 ... matrix. This matrix is obtained by casting the finite dimensional output vector y k into 218 Advances in Vibration Analysis Research Advances in Vibration A...

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... using the following parameters: T = 0.53s, T c = 0.43s, T s = 0.10, K p = 2.78 and CD = 1.0, see Table 1. Advances in Vibration Analysis Research 246 Õ 1 , T 1 ¦Õ 2 , T 2 ¦Õ 3 , T 3 ¦Õ i , T i ¦Õ i+1 , T i+1 ¦Õ n , T n I 1 c 1 k 1 I 2 c 2 k 2 I 3 c 3 k 3 I i c i k i I i+1 c i-1 k i-1 I n d 1 d 2 d 3 d i d i+1 d n ... shaft torsional vibration, making the res...

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... 1500 1800 2100 2400 2700 30 00 33 00 36 00 39 00 4200 4500 4800 Rotor speed n r [r/min] 0 5 10 15 20 25 30 35 40 45 50 55 60 600 900 1200 1500 1800 2100 2400 2700 30 00 33 00 36 00 39 00 4200 4500 4800 Natural ... of the Chinese Society of Agricultural Machinery, 2000 ,31 (5): 91- 93. Song Jingbo. Internal combustion Engines, l9 93, (3) :38 -40. Ying Qiguang, Bao Defu and Others...

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