ABSTRACT
This chapter aims to put forward the results in seven aspects. (1) Equivalent motion equation of a class II fractional vibrator. (2) The concepts about the terms of quasiequivalent mass, quasiequivalent damping, quasiequivalent damping ratio, quasiequivalent damping free natural frequency, quasiequivalent damped natural frequency, quasiequivalent frequency ratio, quasiequivalent logarithmic decrement, and quasiequivalent Q factor of a fractional vibrator in class II. (3) The quasiequivalent mass of a fractional vibrator in class II is in the range of (−∞, m), relying on the vibration frequency ω and the fractional order β. (4) The condition for the equivalent mass being negative regarding a fractional vibrator in class II. (5) The quasiequivalent damping of a fractional vibrator in class II is positive definite. (6) A fractional vibrator in class II is stable. (7) A set of analytic expressions to represent free response, impulse response, step response, frequency transfer function of a fractional vibrator of class II type.
