Chladni figures- Standing waves /stehende Wellen

Roman Chijner, May 30, 2015

Table of Contents

  1. Weblinks, videos, pictures
    1. Weblinks, videos, images
    2. Chladni patterned surfaces
    3. Bilder zu Stehwelle
    4. Chladnische Klangfigur
    5. Moiree-01-05
    6. Moiree-11-15
    7. Moiree-Effekt: Zufallsraster
    8. Chladny graph
    9. Chladni-Figuren
    10. Chladni-Figuren
    11. 2. El sonido puede verse
    12. 3. Ley de Chladni
    13. 4. Sophie Germain
    14. 5. Resonancia
    15. 6. Vibraciones líquidas
    16. 7. Los instrumentos de cuerda
    17. 8. Laboratorio virtual
  2. cross section plotter: 2D and 3D Standing waves
    1. Querschnittsplotter für 2D Chladni Figuren
    2. Querschnittsplotter für 3D Chladni Figuren
    3. Querschnittsplotter für 3D Chladni Figuren
    4. Video: 2D und 3D Chladni Figuren in Querschnittsplotter
    5. Chladni Plate Animation
    6. Chladni Figures
    7. vibrant cous-cous
    8. Chladni patronen
  3. spacial Chladni patterns/ räumliche Chladni Figuren
    1. Video: spacial Chladni patterns/ räumliche Chladni Figuren
    2. Spacial Chladni patterned surfaces  as a network of lists of points
    3. Spacial Chladni patterned surfaces  as a network of implicit curves
    4. Spacial Chladni patterned surfaces  as a network of implicit curves
    5. Translating Pattern From 2D to 3D
  4. pictures: spacial Chladni patterns
    1. gallery 1 →Chladni Figuren
    2. gallery 2 →Chladni Figuren
  5. Some earlier versions of "Chladni" applets
    1. Implicit surfaces as a network of implicit curves
    2. spacial Chladni patterns/ räumliche Chladni Figuren
    3. Räumliche Chladni Figuren- 1 2 6, s=1, L=20 HSVRGB.ggb
    4. Räumliche Chladni Figuren-1 3 4, s= -1, L=20
    5. Räumliche Chladni Figuren- 1 3 4, s=1, L=20
    6. Räumliche Chladni Figuren- 1 2 3, s=-1, L=20
    7. Räumliche Chladni Figuren-1 3 4, s= 1, L=20
    8. Räumliche Chladni Figuren- 2 3 5, s=-1, L=20
    9. Rräumliche Chladni Figuren- 1 2 3 ,s=1, L=20
    10. Räumliche Chladni Figuren- 2 3 5, s=1, L=20
    11. Räumliche Chladni Figuren 1 3 5, s=1, L=20
    12. 3D-stehende Wellen (räumliche Chladni Figuren)
    13. 3D-stehende Wellen (räumliche Chladni Figuren) 1 2 3
    14. 3D-stehende Wellen (Chladni Figuren)
    15. 3D-stehende Wellen ("räumliche Chladni Figuren")
    16. 3D-stehende Wellen ("räumliche Chladni Figuren")
    17. listenweise and punktweise Trace- Methode (HSV Färbung)
    18. listenweise and punktweise Trace- Methode (HSV Färbung)
    19. spacial Chladni patterns
    20. Chladnian sound figure

1.

Weblinks, videos, pictures

  • 1. Weblinks, videos, images
  • 2. Chladni patterned surfaces
  • 3. Bilder zu Stehwelle
  • 4. Chladnische Klangfigur
  • 5. Moiree-01-05
  • 6. Moiree-11-15
  • 7. Moiree-Effekt: Zufallsraster
  • 8. Chladny graph
  • 9. Chladni-Figuren
  • 10. Chladni-Figuren
  • 11. 2. El sonido puede verse
  • 12. 3. Ley de Chladni
  • 13. 4. Sophie Germain
  • 14. 5. Resonancia
  • 15. 6. Vibraciones líquidas
  • 16. 7. Los instrumentos de cuerda
  • 17. 8. Laboratorio virtual

1.1.

Weblinks, videos, images

Weblinks
[size=85][url=http://paulbourke.net/geometry/chladni/][color=#666666][u]http://paulbourke.net/geometry/chladni/[br][/u][/color][/url][url=http://www.phy.davidson.edu/stuhome/jimn/chladni/pages/theory.htm][color=#6161ff][u]http://www.phy.davidson.edu/stuhome/jimn/chladni/pages/theory.htm[/u][/color][/url][br][url=http://www.cymascope.com/cyma_research/physics.html]http://www.cymascope.com/cyma_research/physics.html[br]https://www.youtube.com/watch?v=Q3oItpVa9fs[/url][br][url=http://www.odinic-rite.org/main/harmonic-vibrations/]http://www.odinic-rite.org/main/harmonic-vibrations/[/url][br] [url=http://sploid.gizmodo.com/these-images-of-sound-waves-in-water-are-hypnotic-1759741538]http://sploid.gizmodo.com/these-images-of-sound-waves-in-water-are-hypnotic-1759741538[br][/url][url=http://www.cymascope.com/cyma_research/breakingnews.html]http://www.cymascope.com/cyma_research/breakingnews.html[br]https://www.youtube.com/watch?v=XBP0jmpjzBw[/url][/size]
[size=85]https://acousticslab.org[br] https://acousticslab.org/RECA220/PMFiles/Module01.htm[br]https://acousticslab.org/RECA220/PMFiles/Module02a.htm[br]https://acousticslab.org/RECA220/PMFiles/Module02b.htm[br]https://acousticslab.org/RECA220/PMFiles/Module03.htm[/size]
Chladni Patterns
Three-Dimensional Mid-Air Acoustic Manipulation [Acoustic Levitation]
Cymatic Music
Cymatics Experiment Mozart "Una Donna a Quindici Anni" Suzanne Tribe Suzanne Tribe
3-Dimensional Standing-Wave Patterns in Liquid picture
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Images of Sound Waves in Water
http://sploid.gizmodo.com/these-images-of-sound-waves-in-water-are-hypnotic-1759741538
The Physics of Sound
[url=http://www.cymascope.com/iphoneweb/cymaphone/cyma_research/physics.html]http://www.cymascope.com/iphoneweb/cymaphone/cyma_research/physics.html[/url][br][br][url=https://www.academyofeuphony.com/en/cymascope-music-made-visible/]https://www.academyofeuphony.com/en/cymascope-music-made-visible/[/url]
Holographic Music
Cymatics, shamanic drums
[url=http://www.massey.ac.nz/massey/learning/colleges/college-of-sciences/research/natural-mathematical-sciences/physics-research/musical-vibration-patterns-and-ultra-cold-atoms/musical-vibration-patterns-and-ultra-cold-atoms_home.cfm?stref=666930]http://www.massey.ac.nz/massey/learning/colleges/college-of-sciences/research/natural-mathematical-sciences/physics-research/musical-vibration-patterns-and-ultra-cold-atoms/musical-vibration-patterns-and-ultra-cold-atoms_home.cfm?stref=666930[/url]
[url=http://www.massey.ac.nz/massey/learning/colleges/college-of-sciences/research/natural-mathematical-sciences/physics-research/musical-vibration-patterns-and-ultra-cold-atoms/musical-vibration-patterns-and-ultra-cold-atoms_home.cfm?stref=666930]http://www.massey.ac.nz/massey/learning/colleges/college-of-sciences/research/natural-mathematical-sciences/physics-research/musical-vibration-patterns-and-ultra-cold-atoms/musical-vibration-patterns-and-ultra-cold-atoms_home.cfm?stref=666930[/url]
– Roman Chijner

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2.

cross section plotter: 2D and 3D Standing waves

  • 1. Querschnittsplotter für 2D Chladni Figuren
  • 2. Querschnittsplotter für 3D Chladni Figuren
  • 3. Querschnittsplotter für 3D Chladni Figuren
  • 4. Video: 2D und 3D Chladni Figuren in Querschnittsplotter
  • 5. Chladni Plate Animation
  • 6. Chladni Figures
  • 7. vibrant cous-cous
  • 8. Chladni patronen

2.1.

Querschnittsplotter für 2D Chladni Figuren

Die Gleichung für die Nullstellen der Stehwelle auf einer quadratischen Chladnischen Platte (mit Seitenlänge L) wird durch das folgende gegeben:[br]cos(n pi x / L) cos(m pi y / L) +s*cos(m pi x / L) cos(n pi y / L) = 0,[br]wobei n und m ganze Zahlen sind, s=∓1. [br]Das ist eine Verallgemeinerung "Chladni Plate Mathematics, 2D", Written by Paul Bourke: http://paulbourke.net/geometry/chladni/[br]Zugang zu den ggb files auf: http://www.umtriebe.de/3D_anwendungen.html[br]video: https://www.youtube.com/watch?v=F9fCumuIcbQ
– Roman Chijner

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3.

spacial Chladni patterns/ räumliche Chladni Figuren

  • 1. Video: spacial Chladni patterns/ räumliche Chladni Figuren
  • 2. Spacial Chladni patterned surfaces  as a network of lists of points
  • 3. Spacial Chladni patterned surfaces  as a network of implicit curves
  • 4. Spacial Chladni patterned surfaces  as a network of implicit curves
  • 5. Translating Pattern From 2D to 3D

3.1.

Video: spacial Chladni patterns/ räumliche Chladni Figuren

– Roman Chijner

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4.

pictures: spacial Chladni patterns

  • 1. gallery 1 →Chladni Figuren
  • 2. gallery 2 →Chladni Figuren

4.1.

gallery 1 →Chladni Figuren

Chladni Figuren- 1 2 4, s=1, L=20 39-46
Chladni Figuren- 1 2 5, s=1, L=20 44-50
Chladni Figuren- 1 2 6, s=1, L=20 39-44
Chladni Figuren- 1 2 6, s=1, L=20 46-50
Chladni Figuren- 1 2 7, s=1, L=20 6-15
Chladni Figuren- 1 2 7, s=1, L=20 35-39
Chladni Figuren- 1 2 8, s=1, L=20 01-15
Chladni Figuren- 1 2 8, s=1, L=20 29-33
Chladni Figuren- 1 2 9, s=1, L=20 43-50
Chladni Figuren- 1 3 5 i=48-50
– Roman Chijner

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5.

Some earlier versions of "Chladni" applets

  • 1. Implicit surfaces as a network of implicit curves
  • 2. spacial Chladni patterns/ räumliche Chladni Figuren
  • 3. Räumliche Chladni Figuren- 1 2 6, s=1, L=20 HSVRGB.ggb
  • 4. Räumliche Chladni Figuren-1 3 4, s= -1, L=20
  • 5. Räumliche Chladni Figuren- 1 3 4, s=1, L=20
  • 6. Räumliche Chladni Figuren- 1 2 3, s=-1, L=20
  • 7. Räumliche Chladni Figuren-1 3 4, s= 1, L=20
  • 8. Räumliche Chladni Figuren- 2 3 5, s=-1, L=20
  • 9. Rräumliche Chladni Figuren- 1 2 3 ,s=1, L=20
  • 10. Räumliche Chladni Figuren- 2 3 5, s=1, L=20
  • 11. Räumliche Chladni Figuren 1 3 5, s=1, L=20
  • 12. 3D-stehende Wellen (räumliche Chladni Figuren)
  • 13. 3D-stehende Wellen (räumliche Chladni Figuren) 1 2 3
  • 14. 3D-stehende Wellen (Chladni Figuren)
  • 15. 3D-stehende Wellen ("räumliche Chladni Figuren")
  • 16. 3D-stehende Wellen ("räumliche Chladni Figuren")
  • 17. listenweise and punktweise Trace- Methode (HSV Färbung)
  • 18. listenweise and punktweise Trace- Methode (HSV Färbung)
  • 19. spacial Chladni patterns
  • 20. Chladnian sound figure

5.1.

Implicit surfaces as a network of implicit curves

– Roman Chijner

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