Mechanical Vibrations: M.K.S. System

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Nem Chand, 1972 - Vibration - 468 pages
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Contents

FUNDAMENTALS OF VIBRATIONS 127
1
UNDAMPED FREE VIBRATIONS
28
DAMPED FREE VIBRATIONS
70
Copyright

10 other sections not shown

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above equation abscissa acceleration accelerometer amplitude of vibration angular angular acceleration angular velocity beam bending moment boundary conditions cantilever centre centre of gravity centrifugal force characteristic equation coefficient coefficient of friction complex conjugate constant coordinates corresponding Coulomb critical damping critical speed cylinder engine damping damping factor damping ratio dashpot deflection curve degree of freedom differential equation dimensionless groups disc displacement displacement vector displacement-time displacement-time plot elliptic integral energy equal equation of motion equilibrium position equivalent equivalent electrical circuit excitation F0 sin farads Find flywheels forcing function four-stroke cycle Fourier series free body diagrams free vibrations freedom system friction friction torque fundamental frequency given gives harmonic motion However Illustrative Example inertia force inertia torque initial conditions inverse transform isoclines kg-cm kg-cm/rad kg-sec/cm kg/cm kinetic energy ktnw Laplace transform linear system load mass maximum Maxwell's theorem method mode of vibration mode shapes modulus of elasticity moment of inertia natural frequency Newton's second law obtained original system oscillations pendulum periodic motion phase angle phase plane Phase plane method plot potential energy pulse rad/sec radians radius of gyration ramp functions ratio reciprocating engine rectangular pulse remainder torque resonance resonant frequencies ROORKEE rotating rotor shaft shown in Fig simple harmonic motion simple pendulum sin wt sine waves singular point sinusoidal Solution spring spring constant spring-mass system static static equilibrium step input stiffness Strength of Materials Substituting system shown Therefore torsional Torsional vibrations trajectory undamped vector velocity viscous weight Wiyi wkipping zero

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