CAPITOLUL 1

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STABILITATEA ŞI DINAMICA CONSTRUCŢIILOR 173 0. 5 ⋅ l 0 60 l m1 m2 l l l l l 1 2 Fig.2.4 l l 0. 5 ⋅ l 2.2 Să se traseze diagramele M, T, N, maxime şi minime pentru sistemele dinamice prezentate mai jos. F( f) = F02 sin θt m2 F( f) = F01 sin θt m1 1. 5 ⋅ l Fig.2.5 l 2 1 h h
174 F( t) = F01 sin θt F( t) = F02 sin θt Probleme propuse. Sisteme cu n GLD – vibraţii libere şi forţate F( t) = F03 1 2 3 sin θt 0. 5 ⋅ l 0. 5 ⋅ l 0. 5 ⋅ l 0. 5 ⋅ l 0. 5 ⋅ l 0. 5 ⋅ l F( t) = F01 F( t) = F02 sin θt sinθt m1 Fig.2.6 F( t) = F02 m2 1 2 l l 0. 5 ⋅ l F( t) = F01 sinθt Fig.2.7 m1 m2 l l Fig.2.8 sinθt 2 1 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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34 ∗ Sisteme cu un grad de libert
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38 1.1.3 1.1.2 1 EI=const 1.1.5. m
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40 Probleme rezolvate. Sisteme cu 1
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42 1/2 ω = 1 mδ l/2 − Probleme
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44 Aplicaţia 1.3 (fig.1.3) 1. Tras
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46 nodul 1: α 1 V1=1/3 nodul 2: 1
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48 nodul 7: ⎧ ⎪∑ x = 0; ⎨
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50 b) forţa elastică c) forţa pe
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52 m( ω F 0 2 Sisteme vibrante cu
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54 xF ( t) Sisteme vibrante cu 1GLD
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56 sau Fd i ( t) = F ( t) + F( t) S
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58 unde şi x ( t) j = ∑ n * µ k
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60 2.2. 2.3. 2.4 Problema 2.2 EI=co
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62 Breviar teoretic 1. Forţe Probl
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68 7.59156⋅10 4 4.436875⋅10 4 N
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70 2 K34 d34 = = 0, 6 K Probleme re
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72 6.27166⋅10 4 2.448⋅10 4 Fig.
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74 δ ss δ ss = δ 11 + 2δ Calcul
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76 3. Determinarea răspunsului în
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78 X(t) ϕ/ω=0.01782 s x0ω 2 Apli
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80 X(t) ϕ/ω Rezolvare µ * F0δ
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PROBLEME PROPUSE 1 SISTEME CU 1GLD
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84 m Probleme propuse. Sisteme cu 1
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86 Fig. 1.10 F( t) = F0 sin θt Pro
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88 a. b. c. d. y1( t ) I1 ( t ) y1(
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90 ⎡ δ11 δ12 . δ1j . δ1n ⎤
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92 λ n + a n−1 1 λ + ....... +
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94 [ Ω] ⎡ω ⎢ ⎢ ⎢ = ⎢
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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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Page 126 and 127: 126 δ 11 Probleme rezolvate. Siste
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Page 138 and 139: 138 Matricea de flexibilitate se co
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Page 146 and 147: CAPITOLUL 6 SISTEME VIBRANTE CU nGL
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Page 172 and 173: PROBLEME PROPUSE 2 SISTEME CU n GLD
Page 176 and 177: CAPITOLUL 7 SISTEME VIBRANTE CU NGL
Page 190 and 191: 9.1. Grinda încastrată CAPITOLUL
Page 220 and 221: CAPITOLUL 11 CALCULUL DE STABILITAT
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STABILITATEA ŞI DINAMICA CONSTRUC
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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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