Примери за използване на Lissajous на Английски и техните преводи на Български
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Demonstration tool for Lissajous physiques.
Jules Lissajous entered the École Normale Supérieure in 1841.
You can choose from several phase views, including Histogram,Mid/Side, Lissajous and Phase Wheel.
For instance- Lissajous curves or Chladni patterns.
When we are faced with signal frequencies that are not the same, Lissajous figures get quite a bit more complex.
Lissajous figure: Horizontal/vertical frequency ratio is 3:2.
The mathematical curves that were created by this method were similar to the Lissajous mathematical wave form.
Lissajous figure: Horizontal frequency is twice that of vertical.
The more complex the ratio between horizontal and vertical frequencies,the more complex the Lissajous figure.
Helmholtz used Lissajous' instruments in his study of string vibrations.
For an oscillating reference and measurement signal,this results in a complex looping pattern referred to as a Lissajous curve.
Lissajous was interested in waves and developed an optical method for studying vibrations.
If the two frequencies are locked in an exact integer ratio between each other, the Lissajous figure will be stable on the viewscreen of the CRT.
Lissajous was awarded the Lacaze Prize in 1873 for his work on the optical observation of vibration.
Duhamel had tried to demonstrate these vibrations with a mechanical linkage but Lissajous wanted to avoid the problems caused by the linkage.
The first picture is of the Lissajous figure formed by two AC voltages perfectly in phase with each other.
With a little imagination is alo possible to find such complex apparatus as an oscilloscope, andtry to explain the occasional occurrence of very rare occurring imitations of Lissajous patterns(), but also a variety of resonant circuits.
Lissajous, who was about two and a half years younger than Foucault, was one of his few childhood friends.
More scientific publications followed such as one on a meteor explosion in 1807, three papers on orbits of comets(1815, 1818,1820), and in 1815 he studied Lissajous figures while studying the motion of a pendulum suspended from two points.
The first picture is of the Lissajous figure formed by two AC voltages perfectly in phase with each other:(Figure below).
More scientific publications followed, including a study of a meteor explosion(1807), three papers on the orbits of comets(1815,1818, 1820) and a study of the Lissajous figures created by the motion of a pendulum suspended from two points(1815).
These patterns are called Lissajous figures and are a common means of comparative frequency measurement in electronics.
Lissajous studied beats seen when his tuning forks had slightly different frequencies, in this case a rotating ellipse is seen.
In cases where the frequencies of the two AC signals are not exactly a simple ratio of each other(but close), the Lissajous figure will appear to“move”, slowly changing orientation as the phase angle between the two waveforms rolls between 0o and 180o.
In 1874 Lissajous became rector of the Academy at Chambéry, then in 1875 he was appointed rector of the Academy at Besançon.
Example of an analog oscilloscope Lissajous figure, showing a harmonic relationship of 1 horizontal oscillation cycle to 3 vertical oscillation cycles.
Shown is a Lissajous figure, showing a harmonic relationship of one horizontal oscillation cycle to three vertical oscillation cycles.
Despite this limitation, Lissajous figures are a popular means of frequency comparison wherever an accessible frequency standard(signal generator) exists.
Rather, the Lissajous figure will take on the appearance of an oval, becoming perfectly circular if the phase shift is exactly 90° between the two signals, and if their amplitudes are equal.
Here is a sampling of Lissajous figures for two sine-wave signals of equal frequency, shown as they would appear on the face of an oscilloscope(an AC voltage-measuring instrument using a CRT as its“movement”).