Publication detail

Odezva pohonové soustavy na harmonické buzení

PROCHÁZKA, F.

Original Title

Odezva pohonové soustavy na harmonické buzení

English Title

Response of a Drive System on Harmonic Excitation

Type

journal article - other

Language

Czech

Original Abstract

Předkládaný příspěvek se zabývá problematikou chování pohonových soustav při jejich odezvě na harmonický budící signál o konstantní amplitudě a amplitudě úměrné kvadrátu budící úhlové frekvence spolu s konstrukcí diagramu stability a analýzy topologických vlastností trajektorií ustálené odezvy pohonové soustavy.

English abstract

The paper deals with problems of drive systems behaviour during their response on harmonic excitation with constant amplitude and amplitude proportional to the square of excitation angular frequency together with stability diagram construction and analysis of topological properties of drive systems steady state response trajectories. Based on previously mentioned detailed analysis of the drive system behaviour during its response on harmonic excitation signal certain observation can be summarized into two conclusions: a)Steady state response of the drive system, defined by amplitude and phase shift of steady state forced oscillations is always uniquely defined, that means there is no multiple solution, so typical for nonlinear systems. Furthermore it is shown that uniqueness of the drive systems steady response is its generic property. b)The disturbance components trajectory of the drive system steady response in angular velocity-torque coordinates is from topological point of view expressed by an algebraic equation of the second order (conic section) and based on this algebraic equation invariants values it was proved that it is always ellipse in displaced and rotated position (higher harmonic components, which are always present due to the nonlinear elements cause only minor deformation of pure ellitic shape of the trajectory), that means that elliptic shape of drive systems steady response trajectory is again its generic property.

Keywords

Pohonová soustava, harmonický signál, diagram stability, ustálená odezva, trajektorie, topologie.

Key words in English

Driving systems, harmonical signal, stability diagram, steady state response, trajectory.

Authors

PROCHÁZKA, F.

Released

15. 3. 2004

ISBN

1210-2717

Periodical

Inženýrská mechanika - Engineering Mechanics

Year of study

11

Number

1

State

Czech Republic

Pages from

21

Pages to

42

Pages count

22

BibTex

@article{BUT46028,
  author="František {Procházka}",
  title="Odezva pohonové soustavy na harmonické buzení",
  journal="Inženýrská mechanika - Engineering Mechanics",
  year="2004",
  volume="11",
  number="1",
  pages="22",
  issn="1210-2717"
}