CAPITOLUL 1

More documents

Recommendations

Info

70 2 K34 d34 = = 0, 6 K Probleme rezolvate. Sisteme cu 1 GLD – vibraţii forţate Pab 1 ⋅ 2l ⋅ l 2 M23 = = = l = 1, 11111Nm 2 2 l ( 3l) 9 2 2 Pa b 1 ⋅ ( 2l) ⋅ l 4 M32 = = = l = 2, 22222Nm 2 2 l ( 3l) 9 Verificarea diagramei M: ∑ ∫ 3 2 M1M l 2l dx = − ⋅ 1, 111067 ⋅ 1 + ( −2 ⋅ 1, 111067 ⋅ 1 + EI 3EI 6EI l + 2 ⋅ 1, 975324 ⋅ + 1 ⋅ 1, 975324 − 3 1 l 1 − ⋅ 1, 111067) + ( 2 ⋅ 1, 975324 ⋅ − 3 6EI 3 l = ( 7, 901296 − 7, 90094) 6EI ε T 1.11067 1.975324 M,M 1 ⋅ 1, 481481) = 3 1.111067 1.481481 1 2l l Fig.2.13 1.481481 0.7074 7, 901296 − 7, 90094 −3 % = ⋅ 100 = 4, 5 ⋅ 10 < 0,1 7, 901296 Calculăm coeficientul de flexibilitate:
STABILITATEA ŞI DINAMICA CONSTRUCŢIILOR 71 δ = 1 1/3 1 l 2l l 2l ∑ ∫ Fig.2.14 M l 2l dx = ⋅ 1, 111067 ⋅ 1, 111067 + EI 3EI 6EI 2 + 2 ⋅ ( 1, 975324) − l − 2 ⋅ 1, 111067 ⋅ 1, 975324) + 6EI − 2 ⋅ 1, 975324 ⋅ 1, 481481 + + = l 6EI ⋅ 2 ⋅ ( 1, 481481) 27, 16049927 l 6EI + 2 ⋅ ( 0, 74074) 2 ⋅ ( 1, 975324) 2 2 2 ω = δ=2,155595⋅10 -6 mN -1 1 mδ = 10, 7693radS 2 2 ⋅ ( 2 ⋅ ( 1, 111067) + 2 ⋅ ( 1, 481481) − 2 ⋅ 1, 481481 ⋅ 2. Determinarea factorului de amplificare dinamică, µ. −1 µ ∗ 1 = = 1, 72072 2 2 7 2 2 7 ( 1 − ) + 4( 0, 05) 2 2 10, 4693 10, 7693 F µ ∗ Fo=1,72072⋅10 4 d = N 3. Determinarea răspunsului în eforturi 2 0, 74074 Cunoscând mărimea forţei dinamice se determină forţele maxime şi minime:
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 18 and 19:
18 Stabilitatea şi Dinamica Constr
Page 20 and 21: 20 Stabilitatea şi Dinamica Constr
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
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
Page 56 and 57: 56 sau Fd i ( t) = F ( t) + F( t) S
Page 58 and 59: 58 unde şi x ( t) j = ∑ n * µ k
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
Page 68 and 69: 68 7.59156⋅10 4 4.436875⋅10 4 N
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
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:
Page 134 and 135:
134 şi matricea de flexibilitate d
Page 136 and 137:
136 a. c. 1. 3265 2. 4458 e. y , 2
Page 138 and 139:
138 Matricea de flexibilitate se co
Page 140 and 141:
Page 142 and 143:
142 6EI 2 a a. 6EI 2 a c. 4EI a f.
Page 144 and 145:
Page 146 and 147:
CAPITOLUL 6 SISTEME VIBRANTE CU nGL
Page 148 and 149:
STABILITATEA ŞI DINAMICA CONSTRUC
Page 150 and 151:
Page 152 and 153:
Page 154 and 155:
Page 156 and 157:
Page 158 and 159:
Page 160 and 161:
Page 162 and 163:
Page 164 and 165:
Page 166 and 167:
Page 168 and 169:
Page 170 and 171:
Page 172 and 173:
PROBLEME PROPUSE 2 SISTEME CU n GLD
Page 174 and 175:
Page 176 and 177:
CAPITOLUL 7 SISTEME VIBRANTE CU NGL
Page 178 and 179:
Page 180 and 181:
Page 182 and 183:
Page 184 and 185:
Page 186 and 187:
Page 188 and 189:
Page 190 and 191:
9.1. Grinda încastrată CAPITOLUL
Page 192 and 193:
Page 194 and 195:
Page 196 and 197:
Page 198 and 199:
Page 200 and 201:
Page 202 and 203:
Page 204 and 205:
Page 206 and 207:
Page 208 and 209:
Page 210 and 211:
Page 212 and 213:
Page 214 and 215:
Page 216 and 217:
Page 218 and 219:
Page 220 and 221:
CAPITOLUL 11 CALCULUL DE STABILITAT
Page 222 and 223:
Page 224 and 225:
Page 226 and 227:
Page 228 and 229:
Page 230 and 231:
Page 232 and 233:
Page 234 and 235:
Page 236 and 237:
Page 238 and 239:
Page 240 and 241:
Page 242 and 243:
Page 244 and 245:
Page 246 and 247:
Page 248 and 249:
Page 250 and 251:
Page 252 and 253:
Page 254 and 255:
Page 256 and 257:
Page 258 and 259:
Page 260 and 261:
Page 262 and 263:
Page 264 and 265:
CAPITOLUL 14 CALCULUL DE ORDINUL II
Page 266 and 267:
Page 268 and 269:
Page 270 and 271:
Page 272 and 273:
Page 274 and 275:
Page 276 and 277:
Page 278 and 279:
Page 280 and 281:
Page 282 and 283:
Page 284 and 285:
Page 286 and 287:
Page 288 and 289:
BIBLIOGRAFIE B 1. Bănuţ, V., Calc
Page 290 and 291:
show all

CAPITOLUL 1

Create successful ePaper yourself

Delete template?

Save as template?