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Kmitání soustav s vůlí a s předpětím
Půst, Ladislav ; Peterka, František
Systém s jedním stupněm volnosti s vůlí nebo s předpětím byl analyzován pomocí numerických simulací. Na průbězích resonančních křivek byl studován vliv kladné nebo záporné vůle a ukázány existence vícerázových kvaziperiodických a chaotických pohybů a tvar resonančních vrcholů.
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Oscillator with Hertzs model of soft impacts
Peterka, František
Dynamic properties of the mechanical system with one degree of freedom containing soft stop are investigated. Dynamical impact model respects the non-linearity of the restoring contact force between solid bodies as function of deformation according to the Hertz theory. The explanation of the system motion behaviour, when static clearance decreases up to negative values, which express the static prestress, is the main aim of this paper.
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Subharmonic motions of the oscillator with soft impacts
Peterka, František ; Tondl, Aleš
The excited one degree of freedom mechanical system with soft impacts, characterised by triangle hysteresis loop, is investigated using numerical simulation. Small viscous damping is assumed. Phenomena of subharmonic motions are explained by regions of their existence and stability in plane of dimensionless excitation frequency and static clearance. Bifurcation diagrams are evaluated during quasistationary changes of frequency by constant clearance.
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Response curves of vibroimpact system
Půst, Ladislav ; Peterka, František
Dynamical properties of 1DOF mechanical system impacting on soft stop are studied at excitation by harmonic force. Soft stop is of Hertzs type with viscous damping. Properties of system are analyzed by means of response curves obtained by simulation of motion at slow variation of excitation frequency. Response curves are completed by phase plane trajectories at selected frequencies and time history record. The influences of clearance in system on the response curves, type and level of oscillations are presented. This paper is in narrow connection with contribution [1], where the regions of various type of oscillations of the same system are analyzed.
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Behaviour of mechanical model of piercing machine
Peterka, František
Abstrakt:The dynamics of oscillators with soft impacts is a new direction in the investigation of strongly non-linear systems in the Institute of Thermomechanics. Notion 'soft' is used for an impact, the duration of which is impossible to neglect, unlthe 'rigid' impact described by the Newton elementary theory with coefficient of restitution. It signifies that there exist a large variety of mathematical models of soft impacts corresponding to every real practical situation, which should be invested. The numerical simulation of non-linear system dynamics is the most effective method for it.
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