Modern Vibrations PrimerModern Vibrations Primer provides practicing mechanical engineers with guidance through the computer-based problem solving process. The book illustrates methods for reducing complex engineering problems to manageable, analytical models. It is the first vibrations guide written with a contemporary approach for integration with computers. Ideal for self-study, each chapter contains a helpful exposition that emphasizes practical application and builds in complexity as it progresses. Chapters address discrete topics, creating an outstanding reference tool. The lecture-like format is easy to read. The primer first promotes a fundamental understanding, then advances further to problem solving, design prediction and trouble shooting. Outdated and theoretical material isn't covered, leaving room for modern applications such as autonomous oscillations, flow-induced vibrations, and parametric excitation Until recently, some procedures , like arbitrarily-damped, multi-dimensional problems, were impractical. New methods have made them solvable, using PC-based matrix calculation and algebraic manipulation. Modern Vibrations Primer shows how to utilize these current resources by putting problems into standard mathematical forms, which can be worked out by any of a number of widely employed software programs. This book is necessary for any professional seeking to adapt their vibrations knowledge to a modern environment. |
Contents
INTRODUCTION | 6 |
FORMULATION OF TRANSLATIONAL SYSTEMS | 9 |
BASE EXCITATION | 12 |
FORMULATION OF ROTATIONAL SYSTEMS | 23 |
Continuous Systems | 28 |
UNDAMPED FREE VIBRATION | 31 |
ENERGY METHODS FOR NATURAL FREQUENCY | 43 |
APPROXIMATIONS FOR DISTRIBUTED SYSTEMS | 55 |
MULTIMASS SYSTEMS | 205 |
COMBINED TRANSLATION AND ROTATION | 223 |
LAGRANGIAN METHODS | 233 |
FORCED EXCITATION | 253 |
DAMPED MULTIDEGREEOFFREEDOM SYSTEMS | 263 |
WHIRLING | 271 |
27 | 279 |
COLUMN VIBRATION | 337 |
5 | 67 |
PERIODIC FORCE EXCITATION OF UNDAMPED SYSTEMS | 69 |
12 | 74 |
23 | 86 |
24 | 102 |
FORMULATION OF DAMPING TERMS | 105 |
PERIODIC EXCITATION OF DAMPED SYSTEMS | 111 |
25 | 112 |
SHOCK SPECTRA | 149 |
TRANSIENTS | 167 |
TRANSIENTS | 174 |
RANDOM VIBRATIONS | 177 |
TWODIRECTIONAL MOTION | 191 |
Common terms and phrases
amplitude beam Chapter characteristic equation characteristic matrix coefficients concentrated mass coordinate system cos² cylinders damper damping data points diagonal differential equation dimensionless displacement eigenvalue eigenvectors engine equilibrium equivalent mass example excitation Exercise Figure flywheel force Fourier Fourier series function governing equation gravity harmonic Hertz hydrodynamic inertia Initial Conditions input integral inverse Lagrange's equation Laplace transforms linear magnitude mass and spring mass matrix maximum Mequiv method mode shape moment of inertia motion mref natural frequency Newton's law obtain one-degree-of-freedom oscillation parameter pendulum periodic function pivot plot principal coordinates Problem resonance response rotation Section shaft sin(wext sin² sinusoidal solve spring constant square Standard Form static deflection stiffness matrix t₁ torsion spring torsional unbalance undamped system unit vector velocity vertical vibration wave wex/Wn wext wnt1 Wref write Xmax zero Ус