Vibrations and Stability: Advanced Theory, Analysis, and Tools'Vibrations and Stability' is aimed at third to fifth-year undergraduates and post graduates in mechanical or structural engineering. The book covers a range of subjects relevant for a one-or two-semester course in advanced vibrations and stability. Also, it can be used for self-study, e. g. , by students on master or PhD projects, researchers, and professional engineers. The focus is on nonlinear phe nomena and tools, covering the themes of local perturbation analysis (Chaps. 3 and 4), bifurcation analysis (Chap. 5), global analysis I chaos theory (Chap. 6), and special high-frequency effects (Chap. 7). The ground for nonlinear analysis is laid with a brief summary of elementary linear vibration theory (Chap. 1), and a treatment of differential eigenvalue problems in some depth (Chap. 2). Also, there are exercise problems and extensive bibliographic references to serve the needs of both students and more experienced users; major exercises for course-work; and appendices on numerical simulation, standard mathematical formulas, vibration properties of basic structural elements, and properties of engineering materials. This Second Edition is a revised and expanded version of the first edition (pub lished by McGraw-Hill in 1997), reflecting the experience gathered during its now six years in service as a classroom or self-study text for students and researchers. The second edition contains a major new chapter (7), three new appendices, many new exercise problems, more than 120 new and updated bibliographic references, and hundreds of minor updates, corrections, and clarifications. |
Contents
III | 1 |
IV | 2 |
VII | 3 |
VIII | 4 |
X | 5 |
XI | 6 |
XII | 7 |
XV | 8 |
CXL | 197 |
CXLI | 198 |
CXLII | 199 |
CXLIII | 200 |
CXLIV | 201 |
CXLV | 202 |
CXLVI | 203 |
CXLVII | 204 |
XVI | 9 |
XVIII | 10 |
XX | 11 |
XXI | 12 |
XXII | 13 |
XXIV | 14 |
XXV | 15 |
XXVI | 16 |
XXVII | 17 |
XXIX | 18 |
XXX | 21 |
XXXI | 23 |
XXXII | 25 |
XXXIII | 27 |
XXXIV | 28 |
XXXVI | 29 |
XXXVIII | 30 |
XXXIX | 31 |
XLI | 34 |
XLII | 35 |
XLIII | 36 |
XLV | 37 |
XLVI | 39 |
XLVII | 40 |
XLIX | 41 |
LI | 42 |
LII | 43 |
LV | 44 |
LVIII | 45 |
LIX | 46 |
LX | 47 |
LXI | 48 |
LXII | 49 |
LXIII | 50 |
LXV | 51 |
LXVI | 54 |
LXVII | 58 |
LXVIII | 59 |
LXIX | 60 |
LXXI | 65 |
LXXII | 66 |
LXXIV | 68 |
LXXV | 69 |
LXXVI | 70 |
LXXVII | 71 |
LXXVIII | 72 |
LXXIX | 73 |
LXXX | 74 |
LXXXI | 76 |
LXXXII | 77 |
LXXXIII | 79 |
LXXXIV | 85 |
LXXXV | 86 |
LXXXVI | 88 |
LXXXVII | 92 |
LXXXVIII | 94 |
LXXXIX | 96 |
XC | 97 |
XCI | 99 |
XCII | 100 |
XCIII | 102 |
XCIV | 105 |
XCV | 110 |
XCVI | 111 |
XCVII | 116 |
XCVIII | 122 |
XCIX | 128 |
C | 130 |
CII | 137 |
CIII | 138 |
CIV | 140 |
CV | 144 |
CVI | 147 |
CVIII | 148 |
CIX | 149 |
CX | 150 |
CXI | 154 |
CXII | 155 |
CXIII | 156 |
CXIV | 158 |
CXV | 160 |
CXVI | 164 |
CXVIII | 165 |
CXIX | 166 |
CXX | 167 |
CXXII | 168 |
CXXIII | 169 |
CXXIV | 172 |
CXXV | 174 |
CXXVI | 177 |
CXXVII | 179 |
CXXVIII | 182 |
CXXX | 183 |
CXXXI | 185 |
CXXXII | 189 |
CXXXIII | 190 |
CXXXIV | 191 |
CXXXV | 192 |
CXXXVII | 194 |
CXXXVIII | 195 |
CXXXIX | 196 |
CXLVIII | 206 |
CXLIX | 207 |
CL | 208 |
CLI | 209 |
CLII | 210 |
CLIII | 211 |
CLV | 212 |
CLVI | 213 |
CLVII | 215 |
CLIX | 217 |
CLX | 219 |
CLXI | 221 |
CLXII | 222 |
CLXIII | 225 |
CLXIV | 227 |
CLXV | 229 |
CLXVII | 231 |
CLXIX | 234 |
CLXX | 238 |
CLXXI | 240 |
CLXXII | 241 |
CLXXIII | 242 |
CLXXV | 243 |
CLXXVI | 245 |
CLXXVII | 246 |
CLXXVIII | 248 |
CLXXIX | 249 |
CLXXXII | 251 |
CLXXXIII | 255 |
CLXXXIV | 259 |
CLXXXV | 263 |
CLXXXVIII | 264 |
CLXXXIX | 265 |
CXC | 267 |
CXCI | 268 |
CXCII | 273 |
CXCIII | 277 |
CXCV | 278 |
CXCVI | 281 |
CXCVII | 282 |
CXCVIII | 283 |
CXCIX | 284 |
CC | 287 |
CCI | 288 |
CCIII | 291 |
CCV | 292 |
CCVII | 297 |
CCVIII | 300 |
CCIX | 302 |
CCX | 303 |
CCXII | 304 |
CCXIV | 307 |
CCXV | 308 |
CCXVI | 309 |
CCXVII | 312 |
CCXVIII | 315 |
CCXIX | 318 |
CCXX | 320 |
CCXXI | 322 |
CCXXII | 324 |
CCXXIII | 325 |
CCXXIV | 327 |
CCXXV | 329 |
CCXXVII | 332 |
CCXXVIII | 333 |
CCXXIX | 334 |
CCXXX | 339 |
CCXXXII | 340 |
CCXXXIV | 343 |
CCXXXV | 347 |
CCXXXVII | 348 |
CCXXXIX | 349 |
CCXL | 350 |
CCXLI | 351 |
CCXLII | 352 |
CCXLIV | 353 |
CCXLVII | 355 |
CCXLIX | 356 |
CCLI | 357 |
CCLII | 358 |
CCLIV | 359 |
CCLV | 360 |
CCLVI | 361 |
CCLVIII | 362 |
CCLX | 363 |
CCLXI | 364 |
CCLXII | 365 |
CCLXIII | 366 |
CCLXVII | 367 |
CCLXVIII | 371 |
CCLXIX | 372 |
CCLXX | 373 |
CCLXXI | 375 |
CCLXXII | 376 |
CCLXXVI | 377 |
CCLXXIX | 378 |
CCLXXXI | 379 |
CCLXXXII | 380 |
CCLXXXIII | 381 |
393 | |
Other editions - View all
Vibrations and Stability: Advanced Theory, Analysis, and Tools Jon Juel Thomsen Limited preview - 2013 |
Vibrations and Stability: Advanced Theory, Analysis, and Tools Jon Juel Thomsen No preview available - 2014 |
Vibrations and Stability: Advanced Theory, Analysis, and Tools Jon Juel Thomsen No preview available - 2010 |
Common terms and phrases
a₁ approximation assumed attractor average axial beam behavior boundary conditions buckled c₁ c₂ center manifold chaos chaotic motion coefficient consider constant corresponding curve damping denote described differential equation double pendulum Duffing Duffing equation dynamics effect eigenfunction eigenvalues equation of motion example excitation frequency finite first-order force frequency response harmonic HF excitation homoclinic Hopf bifurcation initial conditions internal resonance Jacobian limit cycle load Lyapunov exponents mass method mode shapes multiple scales natural frequencies Nayfeh nondimensional nonlinear systems numerical obtained oscillations periodic phase plane phase plane orbits pitchfork bifurcation Poincaré map pointmass positive predictions problem quasiperiodic Rayleigh quotient saddle-node Sect self-adjoint simulation singular points slow solving stable stiffness string T₁ test functions Theorem Thomsen tion transcritical bifurcation transverse undamped unstable variables velocity vibrations whereas zero solution
Popular passages
Page 392 - Nonlinear Impact and Chaotic Response of Slender Rocking Objects," Journal of Engineering Mechanics, Vol.
Page 392 - Dynamics of a weakly nonlinear system subjected to combined parametric and external excitation.
Page 386 - Korenev, BG, and Reznikov, LM, 1993, Dynamic Vibration Absorbers: Theory and Technical Applications. John Wiley & Sons. Long, TW Long, Hanzevack EL, and Caggiano, S.,1995, "Noncolocated vibration control using neural networks," In IEEE International Symposium on Intelligent Control, pages 9-14.
Page 387 - Meerkov SM: Principle of vibrational control: theory and applications. IEEE Transactions on Automatic Control, AC-25 (1980) 4, pp.