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Forced Vibration of Single Mode Systems
Systems with Two Degrees of Freedom
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acceleration accelerometer amplifier amplitude analogue computer analysis angle angular frequency applied Argand diagram becomes characteristics closed loop co0t component constant control signal control system corresponding cycle damped system damper damping ratio dead zone deflection differential equation displacement equal equation of motion equilibrium equivalent example exponential delay expressed finite force free vibration frequency ratio gain given gyroscope harmonic functions hysteretic illustrated in figure impulse inertia initial conditions integral loop harmonic response loop transfer function magnitude mass spring system maximum mode shapes modes of vibration natural frequency ncot obtain open loop harmonic open loop transfer optimum oscillation output shaft phase phase plane plane plotted poles potentiometer proportional real axis represent response diagram result root-locus roots rotor servomechanism shown in figure single mode system speed stability steady state error stiffness strain energy transient turbine undamped unity variable vibrating system viscous damping voltage zero