CAPITOLUL 1

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68 7.59156⋅10 4 4.436875⋅10 4 N⋅m 2.2184375⋅10 4 N⋅m Q Fig.2.10 Probleme rezolvate. Sisteme cu 1 GLD – vibraţii forţate 1.1 15.183⋅10 4 l 2l l 2l Fmax Mmax Fmin SR, SV 1 SV 1.1 1 2 3 4 Fig.2.11 Mmin
STABILITATEA ŞI DINAMICA CONSTRUCŢIILOR 69 Diagramele de momente M, M vor fi trasate prin procedeul distribuirii şi transmiterii momentelor, figurile 2.12, 2.13 şi 2.14. Determinăm rigidităţile la rotire, rigidităţile nodurilor, factorii de distribuţie şi momentele de încastrare perfectă: -1111.0672 -1.0196 -33.1366 -1076.911 K K 21 = 32 = 3EI l 1111.0672 -1.0196 1.4728 -14.7279 47.8645 -478.6444 -444.444 1111.111 0.6923 0.3077 K2 = K21+K23 = K 21 d21 = = 0, 6923 K2 K23 = 4 EI 3l 4 EI K3 = K32+K34 = 3l K 32 d32 = = 0, 4 K3 K -1481.4808 0.0906 -0.2266 2.9456 -7.3639 95.7289 -239.3222 888.888 -2222.222 Fig.2.12 34 = 4 EI 2l 0.4 0.6 13EI 3l 10EI 3l 1481.4808 0.136 4.4183 143.5933 1333.3332 740.7404
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CONSTANTIN IONESCU STABILITATEA ŞI
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4 Cuprins 3.4. Vibraţii forţate p
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1.1.Generalităţi CAPITOLUL 1 STAB
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8 Stabilitatea şi Dinamica Constru
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10 1.2.4. Modelarea sistemelor Stab
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12 Stabilitatea şi Dinamica Constr
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14 1.2.6. Sistem dinamic (vibrant)
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16 a. m k a. m k x(t) x(t) c 1GLD b
Page 18 and 19: 18 Stabilitatea şi Dinamica Constr
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Page 26 and 27: 26 Sisteme cu un grad de libertate
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Page 34 and 35: 34 ∗ Sisteme cu un grad de libert
Page 38 and 39: 38 1.1.3 1.1.2 1 EI=const 1.1.5. m
Page 40 and 41: 40 Probleme rezolvate. Sisteme cu 1
Page 42 and 43: 42 1/2 ω = 1 mδ l/2 − Probleme
Page 44 and 45: 44 Aplicaţia 1.3 (fig.1.3) 1. Tras
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Page 52 and 53: 52 m( ω F 0 2 Sisteme vibrante cu
Page 54 and 55: 54 xF ( t) Sisteme vibrante cu 1GLD
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Page 62 and 63: 62 Breviar teoretic 1. Forţe Probl
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Page 74 and 75: 74 δ ss δ ss = δ 11 + 2δ Calcul
Page 76 and 77: 76 3. Determinarea răspunsului în
Page 78 and 79: 78 X(t) ϕ/ω=0.01782 s x0ω 2 Apli
Page 80 and 81: 80 X(t) ϕ/ω Rezolvare µ * F0δ
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Page 84 and 85: 84 m Probleme propuse. Sisteme cu 1
Page 86 and 87: 86 Fig. 1.10 F( t) = F0 sin θt Pro
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Page 90 and 91: 90 ⎡ δ11 δ12 . δ1j . δ1n ⎤
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Page 94 and 95: 94 [ Ω] ⎡ω ⎢ ⎢ ⎢ = ⎢
Page 96 and 97: 96 ⎧ 1 ⎫ y 1 = ⎨ ⎬ şi {} y
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Page 100 and 101: 100 1,1 1,1 a. b. c 1 l 1 1,1 l 1 l
Page 102 and 103: CAPITOLUL 5 SISTEME VIBRANTE CU nGL
Page 104 and 105: 104 Sisteme vibrante cu nGLD. Vibra
Page 106 and 107: 106 2 [ K] − ω [ m] ) { A} = { 0
Page 108 and 109: 108 Sisteme vibrante cu nGLD. Vibra
Page 110 and 111: 110 Dacă folosim matricea modală,
Page 112 and 113: 112 5.6.1. Folosirea metodei forţe
Page 114 and 115: 114 a. c. 2 R1p K Z1 Z2 K 2 R2p Z3
Page 116 and 117: 116 ⎧y⎫ ⎨ ⎬ ⎩θ⎭ [ r ]{
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118 3.4 1 3.3 2EI 0.5l m2 Probleme
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120 [ ∆] ⎡δ11 ⎢ ⎢ δ21 ⎢
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122 εr % = det( Probleme rezolvate
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124 Probleme rezolvate. Sisteme cu
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126 δ 11 Probleme rezolvate. Siste
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128 εa εr % = ⎛ 3 ml ⎞ 94⎜
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130 2. Determinarea matricei de fle
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134 şi matricea de flexibilitate d
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136 a. c. 1. 3265 2. 4458 e. y , 2
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138 Matricea de flexibilitate se co
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142 6EI 2 a a. 6EI 2 a c. 4EI a f.
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CAPITOLUL 6 SISTEME VIBRANTE CU nGL
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STABILITATEA ŞI DINAMICA CONSTRUC
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PROBLEME PROPUSE 2 SISTEME CU n GLD
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CAPITOLUL 7 SISTEME VIBRANTE CU NGL
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9.1. Grinda încastrată CAPITOLUL
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CAPITOLUL 11 CALCULUL DE STABILITAT
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CAPITOLUL 14 CALCULUL DE ORDINUL II
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BIBLIOGRAFIE B 1. Bănuţ, V., Calc
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CAPITOLUL 1

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