CAPITOLUL 1

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46 nodul 1: α 1 V1=1/3 nodul 2: 1 l 2 3 ⎧ ⎪ ⎨ ⎪ ⎩ ∑ ∑ x = 0; N 1 y = 0; 3 4 l Probleme rezolvate. Sisteme cu 1 GLD – vibraţii libere 12 cos α + N 12 5 + N sin α 13 = 0 = 0 V1=1/3 V2=2/3 3 Fig. 1.10 2 4 6 α α α α α α 5 1 6 α l SV SR N12 N12 N12 N12 N12 N12 N23 N56 N67 N34 N45 N13 −N N 12 12 N24 cos ∝ + N sin ∝ + N 23 N35 Fig.11 ⎧ ⎪∑ x = 0; ⎨ ⎪⎩ ∑ y = 0; 23 cos ∝ + N sin ∝= 0 24 N46 = 0 N57 7 α h 7 V2=2/3
STABILITATEA ŞI DINAMICA CONSTRUCŢIILOR 47 nodul 3: nodul 4: nodul 5: nodul 6: −N N N −N N 23 34 −N 45 13 24 35 − N 23 ⎧ ⎪∑ x = 0; ⎨ ⎪⎩ ∑ y = 0; cos ∝ + N cos( 90− ∝) + N − N 34 sin ∝ + N − N 45 sin ∝ + N −N N 56 46 − N 34 35 ⎧ ⎪∑ x = 0; ⎨ ⎪⎩ ∑ y = 0; cos ∝ −N 45 46 N sin ∝= 0 ⎧ ⎪∑ x = 0; ⎨ ⎪⎩ ∑ y = 0; cos ∝ + N 56 57 34 cos ∝= 0 cos( 90− ∝) = 0 − N + N 45 56 sin ∝ −1 = 0 ⎧ ⎪∑ x = 0; ⎨ ⎪⎩ ∑ y = 0; 56 sin ∝ + N cos ∝ + N 57 57 sin ∝= 0 cos ∝= 0 cos ∝= 0 cos ∝= 0 Tabelul 1.2. Bare i,j li,j (m) EA (N) Ni,j, Ni,j (N) Ni,j·Ni,j·li,j 1.2 4,3 7.875⋅10 8 -0.4095 0.721 1,3 5,0 0.238 0.283 2,3 4,3 0.4095 0.721 2,4 5,0 -0.476 1.133 3,4 4,3 -0.4095 0.721 3,5 5,0 0.714 2.549 4,5 4,3 0.4095 0.721 4,6 5,0 -0.952 4.532 5,6 4,3 0.819 2.884 5,7 5,0 0.476 1.133 6,7 4,3 -0.819 2.894 EAi,jδ=ΣNi,jNi,j 10.282
Page 1: CONSTANTIN IONESCU STABILITATEA ŞI
Page 4 and 5: 4 Cuprins 3.4. Vibraţii forţate p
Page 6 and 7: 1.1.Generalităţi CAPITOLUL 1 STAB
Page 8 and 9: 8 Stabilitatea şi Dinamica Constru
Page 10 and 11: 10 1.2.4. Modelarea sistemelor Stab
Page 12 and 13: 12 Stabilitatea şi Dinamica Constr
Page 14 and 15: 14 1.2.6. Sistem dinamic (vibrant)
Page 16 and 17: 16 a. m k a. m k x(t) x(t) c 1GLD b
Page 22 and 23: 22 a. x(t) F(t) m b. u(t) Sisteme c
Page 24 and 25: 24 b. pentru situaţia aplicării i
Page 26 and 27: 26 Sisteme cu un grad de libertate
Page 30 and 31: 30 a. b. m a. k ∆ =1 b. k m MS
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 60 and 61: 60 2.2. 2.3. 2.4 Problema 2.2 EI=co
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Page 70 and 71: 70 2 K34 d34 = = 0, 6 K Probleme re
Page 72 and 73: 72 6.27166⋅10 4 2.448⋅10 4 Fig.
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
Page 82 and 83: PROBLEME PROPUSE 1 SISTEME CU 1GLD
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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96 ⎧ 1 ⎫ y 1 = ⎨ ⎬ şi {} y
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98 c. d. 1, 1 d. 1, 1 δ1 j δ41 δ
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100 1,1 1,1 a. b. c 1 l 1 1,1 l 1 l
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CAPITOLUL 5 SISTEME VIBRANTE CU nGL
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104 Sisteme vibrante cu nGLD. Vibra
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106 2 [ K] − ω [ m] ) { A} = { 0
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108 Sisteme vibrante cu nGLD. Vibra
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110 Dacă folosim matricea modală,
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112 5.6.1. Folosirea metodei forţe
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114 a. c. 2 R1p K Z1 Z2 K 2 R2p Z3
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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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