Advances in Vibration Analysis Research Part 2 docx

... Finite Element 41 22 22 1 22 2 12 (4) 0, vhw Qv y y β ωβ αα ∂∂ + −− = ∂ ∂ (1) 422 2 2 2 2 2 422 22 2 12 () 0, wh w h v Qw y yyR βα β ω γγ γ ∂∂ ∂ − +− − = ∂ ∂∂ (2) where 22 22 3 12 2 ... 1655. 62 16 52. 23 ω 2 327 9. 82 2978 .23 327 2.97 324 9.60 325 0. 92 324 4 .20 329 5.53 326 3.30 325 2.30 ω 3 5585.75 529 6.73 5563.57 55 02. 19 5508.34 5488.74 5580.1...

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... ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ − − − + ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ = ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ xy w yy w xx w y v x u y v x u DDDBBB DDDBBB DDDBBB BBBAAA BBBAAA BBBAAA xy M y M x M xy N y N x N , 2 , , ,, , , 6 626 126 626 16 26 22 122 622 12 16 121 116 121 1 6 626 166 626 16 26 221 226 221 2 16 121 116 121 1 (7) where extensional, coupling...

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... × ⎢ ⎜⎟ ′′ − ⎢ ⎝⎠ ⎣ ⎡⎤ ⎡⎤ ×× −+ + × + ⎣⎦ ⎣⎦ ′ + 10 3 1 10 3 30 21 1 022 0 122 0110 1 22 4 2 2 2 2 2 31 1 2 2 11 0 11 31 33 22 4 2 3 3 31 1 2 3 11 0 11 () ()() ()() ()() ( ) (2 ( ) ) 16 (2 ( ) ) 16 mm mm mm mpp pp rZrZr ZrZr ... 490. 62 0 140 .26 1 42. 22 1.38 - 1 29 1.89 29 5. 82 1.33 - 1 2 478.84 4 82. 09 0.67 - 0 138.54 140.60 1.46 - 1 28 8.33 29 2.47 1. 42 -...

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... 1.963445 12 1.963445 12 1.963445 12 2 4.58876313 4.58876313 4.58876313 3 7. 525 3 120 8 7. 525 3 120 8 7. 525 3 120 8 C-S 1 2. 35500 726 2. 35500 726 2. 35500 726 2 5 .26 125 511 5 .26 125 511 5 .26 125 511 3 8 .21 783948 8 .21 783948 ... Figs .2- 6. Beam Mode ADM VIM HPM P-P 1 2. 970619 02 2.970619 02 2.970619 02 2 5.955303 52 5.955303 52 5.955303 52 3 8.93099 02...

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... ** rh rh M M hab ρ = , 3 ** rh rh Db KK a = (27 a,b) where * xc yc xy ra rb T rr r rh r M dd Φ Φξη ++ = ∫∫ (28 a) 22 22 22 22 42 22 22 22 22 22 2 * 2( 1 ) xc yc xy TT TT ra rb rh rr rr rr rr rr T rr K dd ΦΦ ... , 3 rr Db KK a = (5a,b) In which 11 00 T rrr M dd Φ Φξη = ∫∫ (6a) 22 22 22 22 11 42 22 22 22 22 00 22 2 2(1 ) TT TT rr rr rr rr r T rr K d...

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... ' E is the plane stress constitutive matrix in the local material reference frame: ()() ()() 1 122 12 21 12 21 12 2 2 12 21 12 21 12 23 13 00 0 0 11 00 0 0 11 000000 00000 00000 00000 EE EE G G G ν νν ... Rhodes, Greece, 22 -24 June 20 09. Lin, R.M. & Zhu, J. (20 06). Model updating of damped structures using FRF data. Mechanical Systems andSignal Processing ,...

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... −− ⎢ ⎥ =− − ⎢ ⎥ −− −− ⎣ ⎦ (27 ) where r λ are the eigenvalues obtained by solving the equation Advances in Vibration Analysis Research 1 72 L =2. 47 m, D = 12. 69 cm, e =1. 321 mm, 10 layers of equal ... boron-epoxy laminae, which are considered by Bert and Advances in Vibration Analysis Research 194 () 2 2 cos 0 1 r r r e e λ λ λ − − − = + (28 ) Gan...

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... e-6 1x 3 dof + 2x 19 dof 4 12, 526 519 6,6 32 e -2 7,3 12 e-4 2, 498 e-6 2, 441 e-6 1x 4 dof + 2x 24 dof 5 15,676100 1,033 e-1 2, 3 32 e-3 2, 407 e-7 2, 044 e-7 1x 5 dof + 2x 29 dof 6 18, 823 011 1,486 e-1 ... the interactions among the blocks have considerable 22 2 Advances in Vibration Analysis Research Advances in Vibration Analysis Research 20 0 Fi...

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... Support Detail Concrete Slab 14000.0 8 62. 25 1 02 8 62. 25 1 02 13796.0 7 x 1 724 .5 = 120 71.5 7 62 65 40.0 25 .0 3 42. 9 Advances in Vibration Analysis Research 25 2 of shaft systems with branches ... frequencies and finite element models, Journal of Vibration and Control Vol. 2: 26 9 28 6. 23 0 Advances in Vibration Analysis Research 12 Vibration...

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... Vibration Analysis of Soft Mounted Electrical Machines 28 7 67 68 69 20 22 24 26 28 30 32 34 36 38 40 42 44 0 0 ,2 0,4 0,6 0,8 1 1 ,2 1,4 1,6 1,8 2 Natural frequency f n [Hz] Mode 1 Mode 2 Mode ... 900 120 0 1500 1800 21 00 24 00 27 00 3000 3300 3600 3900 420 0 4500 4800 Rotor speed n r [r/min] 0 5 10 15 20 25 30 35 40 45 50 55 60 600 900 120 0 1500 1800 21 00...

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