CAPITOLUL 1

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84 m Probleme propuse. Sisteme cu 1 GLD – vibraţii libere şi forţate y(t) l/2 l/2 l/2 l/2 Fig. 1.5 1.2 Să se traseze diagramele de eforturi M, T, N maxime şi minime pentru sistemele următoare: Fig.1.6 y(t) m F( t) = F0 sinθt EI=const. l/3 2l/3 2l/3 h h/3
STABILITATEA ŞI DINAMICA CONSTRUCŢIILOR 85 Fig.1.7 Fig. 1.8 Fig.1.9 F( t) = F0 y(t) F( t) = F0 m l 2 sin θt l/2 l/2 l/2 l sinθt 1.5⋅l m 1.5 ⋅l l m F( t) = F0 sinθt l 1.5⋅l l h h
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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
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22 a. x(t) F(t) m b. u(t) Sisteme c
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24 b. pentru situaţia aplicării i
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26 Sisteme cu un grad de libertate
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30 a. b. m a. k ∆ =1 b. k m MS
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Page 34 and 35: 34 ∗ Sisteme cu un grad de libert
Page 36 and 37: 36 Sisteme cu un grad de libertate
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
Page 46 and 47: 46 nodul 1: α 1 V1=1/3 nodul 2: 1
Page 48 and 49: 48 nodul 7: ⎧ ⎪∑ x = 0; ⎨
Page 50 and 51: 50 b) forţa elastică c) forţa pe
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
Page 62 and 63: 62 Breviar teoretic 1. Forţe Probl
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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 86 and 87: 86 Fig. 1.10 F( t) = F0 sin θt Pro
Page 88 and 89: 88 a. b. c. d. y1( t ) I1 ( t ) y1(
Page 90 and 91: 90 ⎡ δ11 δ12 . δ1j . δ1n ⎤
Page 92 and 93: 92 λ n + a n−1 1 λ + ....... +
Page 94 and 95: 94 [ Ω] ⎡ω ⎢ ⎢ ⎢ = ⎢
Page 96 and 97: 96 ⎧ 1 ⎫ y 1 = ⎨ ⎬ şi {} y
Page 98 and 99: 98 c. d. 1, 1 d. 1, 1 δ1 j δ41 δ
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 ]{
Page 118 and 119: 118 3.4 1 3.3 2EI 0.5l m2 Probleme
Page 120 and 121: 120 [ ∆] ⎡δ11 ⎢ ⎢ δ21 ⎢
Page 122 and 123: 122 εr % = det( Probleme rezolvate
Page 124 and 125: 124 Probleme rezolvate. Sisteme cu
Page 126 and 127: 126 δ 11 Probleme rezolvate. Siste
Page 128 and 129: 128 εa εr % = ⎛ 3 ml ⎞ 94⎜
Page 130 and 131: 130 2. Determinarea matricei de fle
Page 132 and 133: 132 Probleme rezolvate. Sisteme cu
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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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140 Probleme rezolvate. Sisteme cu
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142 6EI 2 a a. 6EI 2 a c. 4EI a f.
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144 Probleme rezolvate. Sisteme cu
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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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