Academic literature on the topic 'Chladni figures'

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Journal articles on the topic "Chladni figures"

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Müller, Thomas. "Numerical Chladni figures." European Journal of Physics 34, no. 4 (May 29, 2013): 1067–74. http://dx.doi.org/10.1088/0143-0807/34/4/1067.

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Arango, Jaime, and Carlos Reyes. "Stochastic Models for Chladni Figures." Proceedings of the Edinburgh Mathematical Society 59, no. 2 (August 10, 2015): 287–300. http://dx.doi.org/10.1017/s0013091515000139.

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AbstractChladni figures are formed when particles scattered across a plate move due to an external harmonic force resonating with one of the natural frequencies of the plate. Chladni figures are precisely the nodal set of the vibrational mode corresponding to the frequency resonating with the external force. We propose a plausible model for the movement of the particles that explains the formation of Chladni figures in terms of the stochastic stability of the equilibrium solutions of stochastic differential equations.
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Libisch, F., S. Rotter, and J. Burgdörfer. "Chladni figures in Andreev billiards." European Physical Journal Special Topics 145, no. 1 (June 2007): 245–54. http://dx.doi.org/10.1140/epjst/e2007-00160-5.

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Solodov, Igor, Daria Derusova, and Markus Rahammer. "Thermosonic Chladni figures for defect-selective imaging." Ultrasonics 60 (July 2015): 1–5. http://dx.doi.org/10.1016/j.ultras.2015.02.007.

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Tuan, P. H., J. C. Tung, H. C. Liang, P. Y. Chiang, K. F. Huang, and Y. F. Chen. "Resolving the formation of modern Chladni figures." EPL (Europhysics Letters) 111, no. 6 (September 1, 2015): 64004. http://dx.doi.org/10.1209/0295-5075/111/64004.

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Wade, Nicholas J. "Sound and Sight: Acoustic Figures and Visual Phenomena." Perception 34, no. 10 (October 2005): 1275–90. http://dx.doi.org/10.1068/p5295.

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The impact that the analysis of sound waves has made on theories of light is well known, and is touched upon here. However, the acoustic figures described initially by Robert Hooke in 1665 and in more detail by Ernst Chladni in 1787 (often referred to as Chladni figures) were instrumental in vision in two specific respects. First, their representation by Tyndall [1867 Sound. A Course of Eight Lectures Delivered at the Royal Institution of Great Britain (London: Longmans, Green)] in a book on sound resulted in the description of a visual illusion, the Hermann grid. Secondly, attempts to render the acoustic figures visible (on the basis of briefly persisting images) led to the discovery of instruments that could synthesise movement. These two developments are discussed in their historical contexts.
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Cortel, Adolf. "Nodes and Antinodes in Two-Color Chladni Figures." Physics Teacher 59, no. 6 (September 2021): 462–63. http://dx.doi.org/10.1119/10.0006129.

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Rzepecki, Jaroslaw, Anna Chraponska, Sebastian Budzan, Chukwuemeke William Isaac, Krzysztof Mazur, and Marek Pawelczyk. "Chladni Figures in Modal Analysis of a Double-Panel Structure." Sensors 20, no. 15 (July 22, 2020): 4084. http://dx.doi.org/10.3390/s20154084.

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Analysis of the structural vibration, under the sound excitation is an important part of the quality assurance during the design process of devices. One of the most commonly used method is Laser Doppler Vibrometry (LDV). However, under the rapid fluctuations of temperature, structural resonances are shifted into the other frequencies. In such situation LDV method may be inconvenient, due to the scanning time. In this paper the authors proposed Chladni figures to modal analysis of the double-panel structure, excited by the loudspeaker enclosed inside the casing with a rigid frame. Double-panel structure has been proven to be particularly useful for noise and vibration reduction applications. Vision images, obtained during the experiments are converted to binary patterns, using GLCM matrix, and compared with simulations performed in ANSYS.
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Valiyov, Boris M., and Vladimir D. Yegorenkov. "Circles in the sand: methods for reproducing Chladni’s figures." Physics Education 40, no. 5 (September 1, 2005): 408–10. http://dx.doi.org/10.1088/0031-9120/40/5/f03.

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Bardell, N. S. "Chladni Figures For Completely Free Parallelogram Plates: An Analytical Study." Journal of Sound and Vibration 174, no. 5 (July 1994): 655–76. http://dx.doi.org/10.1006/jsvi.1994.1300.

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Dissertations / Theses on the topic "Chladni figures"

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Malagon, Samuel A. "Chladni Figures through Vibrating Plates." Scholarship @ Claremont, 2015. http://scholarship.claremont.edu/cmc_theses/1203.

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In this paper, we examine a method on how to model and produce Chladni Figures. We walk through how a thin metal plate, when vibrating at certain frequencies, can create various interest patterns. First we discuss the equation for the vertical force exerted on the plate, then we derive a PDE to solve for the nodal lines (lines that remain fixed, while the rest of the plate is oscillating). And, discuss how to create and model these figures, through a finite difference method. There have been several experiments on Chladni Figures, using some sort of vibrating membrane or plate and then either through the use of a speaker or a violin bow, produce frequencies in order to resonate with the membrane. These eigenvalue solutions can been physically observed by putting sand on the plate and vibrating it. We will approximate theses figures, calculate the convergence of the approximation, and relate the generated figures to figures produced in experiments.
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Hoffman, Pavel. "Inovace žebroví kytary Dreadnought." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2021. http://www.nusl.cz/ntk/nusl-442572.

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This diploma thesis deals with the spectrum analysis, frequency characteristics, Chladni figures and simulation of modal and harmonic analysis of an acoustic guitar in ANSYS program interface. In the acoustic guitar analysis, various details that can influence the instrument spectrum are discussed. Especially on its performance over time, the number of generated harmonic components and their performance. Then the guitar bracing innovation of the dreadnought guitar was created from the measured, simulated and calculated data. Four acoustic guitars with the innovation were then made. These innovated instruments were further analyzed and compared with the acoustic guitar before the innovation and with a competitor’s guitar. Furthermore, the thesis describes parts of an acoustic guitar, wood properties, theoretical background and measurement methods.
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Huang, Zhi-Wei, and 黃致瑋. "Exploring the Characteristics of Chladni Figures via Anisotropic Vibrating Plates." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/6pkgjb.

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碩士
國立交通大學
理學院科技與數位學習學程
105
In this thesis, the modern thin plate vibration experiment was demonstrated by anisotropic brass plate in four different cutting angles. According to the experimental results, the phenomena of asymmetry in brass plate is getting stronger from 45° to 0°, and the nodal line of the Chladni patterns are getting more circular at the same time. By utilizing the theoretical model of figure reconstruction, we could rebuild the Chladni patterns under different cutting angles via tilting the parameters and get the precise comparison between experiment and theory. On the basis of the conclusion in this thesis, we could offer the theoretical results of the specific cutting angles of isotropic materials to match the requirements of vibrating products.
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Teng, Yu-Chun, and 鄧宇峻. "Exploring the characteristics of Chladni figures with various granular media size via a vibrating plate." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/98647948257590435235.

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碩士
國立交通大學
理學院應用科技學程
103
The purpose of this thesis is to explore the Chladni figures which are effected by various granular media size in resonant thin plate experiment. We choose Al and brass thin plates to investigate the phenomena for representing isotropic plate and anisotropic plate respectively. We spread various sizes of granular media on these two plates to progress the vibrating thin plate experiment. The characteristics of forming the nodal figures, the pattern forming time, the ways the pattern forming and how the mass of granular media on plate play the role are the specialties we concern. And we develop the theoretical model to calculate and reconstruct the Chladni figures of isotropic and anisotropic thin plates successfully. We figure out and explain it clearly the process and relations between granular media size and forming Chladni figures on isotropic plate and anisotropic plate.
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Siao, Kai-Wei, and 蕭凱威. "Exploring acoustic dispersion relations of various thin plate with Chladni figures: Aluminum、Brass、Copper、Stainless steel、Glass、Wood and PMMA." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/qqbt42.

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碩士
國立交通大學
理學院應用科技學程
102
This thesis propose a method to rapidly and accurately reconstruct the resonant modes and dispersion relationships of thin plates in different materials. In the past, the reconstructions of resonant modes are usually fulfilled by utilizing some approximative method based on numerical iteration to match the experimental resonant frequency spectrum. Besides, the measurements of key elastic coefficients of material, e.g. the Young’s modulus and Poisson ratio, are necessary for the determination of acoustic dispersion relationship. However, not only the numerically iterative process requires tedious calculations which takes lots of time, but the precision of elastic coefficients depend on a large amount of statistics on experimental data. As a consequence, rapid analysis of resonant modes and dispersion relationship are hard to achieve case-by-case by the traditional method. In this work, we analytically develop a theoretical model to calculate the Chladni figures of thin plates. We show the experimental resonant modes can be perfectly reconstructed once the theoretical nodal patterns reveal one-to-one correspondence to the experimental observations. We further demonstrate the dispersion relationships of thin plates in different materials such as aluminum, brass, copper, stainless steel, glass, wood and PMMA can be easily determined by linking the resonant frequencies to the reconstructed wavenumbers.
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Book chapters on the topic "Chladni figures"

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Pesic, Peter. "Electric Sounds." In Music and the Making of Modern Science. The MIT Press, 2014. http://dx.doi.org/10.7551/mitpress/9780262027274.003.0013.

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Those who followed Leonhard Euler’s wave theory of light often re-engaged its relation to sound. The study of electricity and magnetism resonated with ongoing initiatives in light and sound, reflecting also wider philosophical ideas about the unity of nature epitomized by Naturphilosophie. This chapter examines the intertwined study of electricity and acoustics by Georg Christoph Lichtenberg, Johann Ritter, and Ernst Chladni. The search to unify the forces of nature often relied on analogies with sound, which in turn looked to electricity for new tools. Félix Savart studied the vibration patterns of violins; after reviewing this work, Jean-Baptiste Biot joined Savart in working on electromagnetism. In the aftermath of Thomas Young’s work, waves became a newly attractive explanatory approach to the problems of electricity. Building directly on Chladni’s sound figures, Hans Christian Ørsted discovered the synthesis of “electromagnetism” that brought a new unity to these two formerly separate forces, realizing the unitive hopes of Naturphilosophie. Ørsted’s discovery involved realizing the dynamic, transverse action of electromagnetism, qualities he had previously studied in vibrating plates. Throughout the book where various sound examples are referenced, please see http://mitpress.mit.edu/musicandmodernscience (please note that the sound examples should be viewed in Chrome or Safari Web browsers).
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Satz, Aura, and Jussi Parikka. "Impulsive Synchronisation: A Conversation on Military Technologies and Audiovisual Arts." In Cold War Legacies. Edinburgh University Press, 2016. http://dx.doi.org/10.3366/edinburgh/9781474409483.003.0004.

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Stemming from their common interest in media archeology and the idea of the air as a medium of encrypted signals, Satz and Parikka explore the themes emerging from Satz's film installation 'Impulsive Synchronisation' (2013). Satz has used various technologies as the subject of her work, including the Chladni plate, mechanical music, phonograph grooves and optical sound, looking at how such objects tap into ideas of knowledge and communication in their use of notation systems, languages or codes. Satz is also interested in bringing to the fore key female figures largely excluded from mainstream historical discourse in an ongoing engagement with the question of women’s contributions to labour, technology and scientific knowledge. The starting point for ‘Impulsive Synchronisation’ was a 'Secret Communication System' patented during World War II by Hollywood star Hedy Lamarr and American composer George Antheil. This invention of 'frequency hopping', designed to protect radio-controlled torpedoes from enemy disruption by distributing the signal over many frequencies and synchronising the transmitter and receiver in rapidly changing patterns, has become the basis for today's spread-spectrum technology. In Satz’s work, these technologies are referenced to explore visual, musical and data notation, as well as its encryption, synchronisation and decipherment.
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"16. A Letter from Dr. Ørsted of Copenhagen to Mr. J. W. Ritter of Jena, Concerning Chladni's Acoustic Figures in an Electrical Context (1805)." In Selected Scientific Works of Hans Christian Orsted, edited by Andrew D. Jackson and Ole Knudsen., 180. Princeton: Princeton University Press, 1998. http://dx.doi.org/10.1515/9781400864850.180.

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Conference papers on the topic "Chladni figures"

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Jia, Hao, Hao Tang, and Philip X. L. Feng. "Multimode SiC trampoline resonators manipulate microspheres to create Chladni figures." In 2015 Joint Conference of the IEEE International Frequency Control Symposium & the European Frequency and Time Forum (FCS). IEEE, 2015. http://dx.doi.org/10.1109/fcs.2015.7138821.

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Monetti, Giulia, Immacolata D'Acunto, and Roberto De Luca. "ENGAGING LESSONS ON MECHANICAL WAVES THROUGH CHLADNI'S FIGURES." In 13th International Conference on Education and New Learning Technologies. IATED, 2021. http://dx.doi.org/10.21125/edulearn.2021.1186.

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