2C24 Optimal sampled-data control by vibration manipulation function for one mass-spring system obtained from three vibro-impact oscillators under Grover algorithm(The 12th International Conference on Motion and Vibration Control)

Mechanical Engineering Journal

Ichizaki

2017

Self Cite

Although more than 55 years have been passed since its first development, it remains unknown whether a posicast-shaped function (PSF) is a unique intermittent input command for a one-time rapid rest-to-rest motion in one natural period. In addition, it has not been determined whether more generalized expressions exist. We recently deduced an intermittent input command of a feedforward formula, called a vibration manipulation function for one natural period (oVMF), to manipulate an undamped 1-DOF linear floating oscillator in an arbitral operational period based on the dynamics of three vibro-impact oscillators under a Grover algorithm in the field of quantum information. As a special case of oVMF, we can define the formula of an input command for a restto-rest motion in one natural period, called roVMF. In this study, we proved that any PSF for an undamped 1-DOF oscillator (uPSF) can be expressed as an infinite series of roVMF. Moreover, because uPSF has a stricter symmetrical property than roVMF, we have concluded that the set of uPSF, Uup, is contained in the set of roVMF, UroV. Hence roVMF is a more general expression than uPSF.

Section: Vibration Manipulation Function For One Natural Periodmentioning

confidence: 99%

“…(5) (Kotake et al, 2014). By enforcedly displacing the base along XoV(t0+t') during one natural period of τ, the mass will move along the trajectory of Eq.…”

Section: Vibration Manipulation Function For One Natural Periodmentioning

confidence: 99%

Relation between posicast-shaped function and vibration manipulation function of undamped 1-DOF linear oscillator for one-time rest-to-rest motion in a natural period

Mechanical Engineering Journal

Ichizaki

2017

Self Cite

“…Recently, we have found basis functions of the above solutions, by considering the dynamics of three-vibro-impact oscillators [9], which is specially designed to obey Grover algorithm. Grover algorithm is known as a random searching algorithm in quantum computer [10], which works under the mechanism of quantum mechanics, instead of classical mechanics in ordinal ones.…”

Section: B Grover Algorithm In Three-vibro-impact Oscillatorsmentioning

confidence: 99%

“…Since the cost function of the present trajectory of is the action, it is most natural way to determine the route. Precise mathematical discussions and relation to quantum information can be seen in the other report [9].…”

Section: Vmf As Solution Of Inverse Problem In 1dof Oscillatormentioning

confidence: 99%

See 1 more Smart Citation

Vibration manipulation function as general lifting function for discrete sampled-data tracking control of 1DOF oscillator

2015 IEEE/SICE International Symposium on System Integration (SII)

2015

Self Cite

Intermittent lifting function, termed vibration manipulation function (VMF), is proposed as a general formula of inverse problem to manipulate a linear one-degree-of-freedom (1DOF) oscillator. Discrete sampled-data tracking control is realized by using the continuous intermittent feedforward control and discrete sampled-data feedback decided from previously determined discrete aimed states in every operating instant. Since VMF can be modified repeatedly from the discrete error deviation, we can minimize error deviation between discrete sampled output and discrete aimed value in order to make the system robust.

2309 Vibration Affected by Contact Radius and Sinusoidal Wavy Workpiece to Explain Initial Resonance Growth in Turing

Ito

2015

LEM21

Before occurrence of self-excited chatter, initial resonance has to be grown in turning. In this study, despite external forced vibration, we explain occurrence and growth of SDoF tool oscillation from the trajectory of the tool nose contacting with wavy cylindrical workpiece. By regarding the deviation of the workpiece as a simple sinusoidal function and local contact of the tool with finite radius, we showed the trajectory excites the oscillator under high-order harmonic resonance conditions. The amplitude of the resonance is affected from local contact radius against that of workpiece. From damping effect these resonance conditions are expanded. The growth of the initial resonance would cause either forced or self-excited chatters in afterwards. The occurrence of chatter during wear and the existence of ultra-precision machining are explained from these properties.