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Journal articles on the topic 'Chladni figures'

Author: Grafiati

Published: 28 June 2021

Last updated: 1 February 2022

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1

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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2

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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3

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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4

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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5

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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6

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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7

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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8

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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9

Valiyov, Boris M., and Vladimir D. Yegorenkov. "Circles in the sand: methods for reproducing Chladnis 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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10

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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11

Gander, Martin J., and Felix Kwok. "Chladni Figures and the Tacoma Bridge: Motivating PDE Eigenvalue Problems via Vibrating Plates." SIAM Review 54, no. 3 (January 2012): 573–96. http://dx.doi.org/10.1137/10081931x.

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12

Trejo-Mandujano, H. A., G. Mijares-Bernal, and E. G. Ordoñez-Casanova. "Alternate model of Chladni figures for the circular homogenous thin plate case with open boundaries." Journal of Physics: Conference Series 582 (January 14, 2015): 012022. http://dx.doi.org/10.1088/1742-6596/582/1/012022.

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13

Jia, Hao, Hao Tang, and Philip X. L. Feng. "Standard and inverse microscale Chladni figures in liquid for dynamic patterning of microparticles on chip." Journal of Applied Physics 124, no. 16 (October 28, 2018): 164901. http://dx.doi.org/10.1063/1.5050025.

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14

Greshilov, A. G., and S. V. Sukhinin. "Chladni figures of a circular plate floating in the bounded and unbounded water basins with the cantilevered central support." Journal of Applied and Industrial Mathematics 11, no. 1 (January 2017): 49–57. http://dx.doi.org/10.1134/s1990478917010069.

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15

Kovtun, Igor, Juliy Boiko, Svitlana Petrashchuk, and Tomasz Kałaczyński. "Theory and practice of vibration analysis in electronic packages." MATEC Web of Conferences 182 (2018): 02015. http://dx.doi.org/10.1051/matecconf/201818202015.

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The paper represents theoretical and experimental vibration analysis of electronic packages. The research objectives are bearing parts, such as printed circuit boards, walls of the cases and electronic components, in enclosed electronic packages subjected to vibration during their operation. The theoretical model of the oscillation system representing electronic package installed on the support subjected to vibration is described. Vibration transmission from the shaker to the tested electronic package is explained as the complex problem to solve. The experimental measurement verified significant difference in amplitudes of vibrations transmitted inside the package and incident to. The elements of plate bending theory is used for main boards, case walls and other planar rectangular structures considered as equivalent homogeneous plates, in order to estimate their natural frequencies and forms of free cross oscillations and hence to identify their possible resonances with purpose to avoid them in operation. The significant attention was paid to the experimental research of dynamic characteristics, representing results in form of Chladni figures and amplitude frequency responses.

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16

Lydon, Steven. "Nietzsche’s Interpretation of Chladni’s Sound Figures." Maynooth Philosophical Papers 8 (2016): 83–89. http://dx.doi.org/10.5840/mpp2016810.

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17

Gao, Zhaoshuai, Lixin Yin, Weina Fang, Qingying Kong, Chunhai Fan, Bin Kang, Jing-Juan Xu, and Hong-Yuan Chen. "Imaging Chladni Figure of Plasmonic Charge Density Wave in Real Space." ACS Photonics 6, no. 11 (September 12, 2019): 2685–93. http://dx.doi.org/10.1021/acsphotonics.9b00644.

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18

Lydon, Steven P. "Signatura rerum: Chladni’s Sound Figures in Schelling, August Schlegel, and Brentano." Germanic Review: Literature, Culture, Theory 93, no. 4 (October 2, 2018): 334–50. http://dx.doi.org/10.1080/00168890.2018.1509051.

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19

Gillin, Edward J. "Seismology’s acoustic debt: Robert Mallet, Chladni’s figures, and the Victorian science of earthquakes." Sound Studies 6, no. 1 (November 5, 2019): 65–82. http://dx.doi.org/10.1080/20551940.2019.1678313.

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20

Bonds, Mark Evan. "Aesthetic Amputations: Absolute Music and the Deleted Endings of Hanslick's Vom Musikalisch-Schönen." 19th-Century Music 36, no. 1 (2012): 3–23. http://dx.doi.org/10.1525/ncm.2012.36.1.003.

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Abstract Eduard Hanslick's Vom Musikalisch-Schönen (1854) is the single most important document in the history of the construct known as absolute music, the idea that music functions as an entirely self-contained and self-referential art. Hanslick deleted—and did not replace—the final paragraph of the first edition, cutting most of it for the second edition of 1858 and the remainder for the third edition of 1865. This original ending evokes imagery that stands out from most of the rest of the treatise, including references to the “great motions of the cosmos” and “profound and secret connections to nature.” Scholars have pointed to the apparent inconsistencies of both tone and substance in this paragraph over and against the rest of the treatise to explain its later deletion but have not suggested why Hanslick might have ended his treatise in this way originally. The evocation of “connections to nature” points to the influence of Naturphilosophie, a mode of thought particularly prevalent in Germany in the first half of the nineteenth century that posited a basic unity of all nature. Proponents of Naturphilosophie, including such major figures as Schelling, Ritter, Goethe, and Ørsted, believed that the basic forces of nature were all interconnected. Ernst Chladni's demonstrations of the geometric patterns that could be created by sound under certain conditions fascinated his contemporaries and provide an example of how motion, sound, form, and beauty might all be interrelated. Hanslick saw tönend bewegte Formen (“forms set in motion through tones”) as the essence of music, and his original ending suggests that the kind of motion resulting in sound was related to the motions at work in physics, light, magnetism, and other forces, the “great motions of the cosmos.”

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21

Taillan, Christophe, Nicolas Combe, and Joseph Morillo. "Chladni figures at the nanoscale." European Physical Journal B 88, no. 12 (December 2015). http://dx.doi.org/10.1140/epjb/e2015-60695-x.

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22

Dorrestijn, M., A. Bietsch, T. Açıkalın, A. Raman, M. Hegner, E. Meyer, and Ch Gerber. "Chladni Figures Revisited Based on Nanomechanics." Physical Review Letters 98, no. 2 (January 8, 2007). http://dx.doi.org/10.1103/physrevlett.98.026102.

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23

Tuan, P. H., Y. H. Lai, C. P. Wen, K. F. Huang, and Y. F. Chen. "Point-driven modern Chladni figures with symmetry breaking." Scientific Reports 8, no. 1 (July 18, 2018). http://dx.doi.org/10.1038/s41598-018-29244-6.

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24

Santos, Robert Simão dos, Paulo Sérgio de Camargo Filho, and Zenaide de Fátima Dante Correia Rocha. "Descobertas sobre a teoria do som: a história dos padrões de Chladni e sua contribuição para o campo da acústica." Revista Brasileira de Ensino de Física 40, no. 2 (November 27, 2017). http://dx.doi.org/10.1590/1806-9126-rbef-2017-0248.

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As descrições dos fenômenos ondulatórios exigem do estudante observar atenta e sistematicamente fenômenos que permitam construir significados sobre conceitos como ressonância, superposição de ondas, interferência, difração, reflexão e harmônicos. Neste trabalho, objetiva-se tecer uma breve biografia do Físico Ernst Florens Friedrich Chladni, e sua contribuição para o campo da acústica para o fenômeno da formação de figuras em placas ressoantes, assunto pouco explorado na literatura brasileira de ensino de Física. As informações levantadas sobre a história e a descoberta de Chladni, foram apresentadas neste artigo a partir de uma pesquisa bibliográfica em livros publicados e reeditados em alemão e inglês por outros pesquisadores. Para cada artigo publicado e livros analisados, fez-se uma tradução livre no afã de fornecer ao leitor a compreensão histórica da descoberta de Chladni. Deste modo, os Padrões de Chladni, e a história de sua descoberta contribuem para uma aprendizagem de conceitos clássicos da física, relevantes para formação intelectual e científica do estudante e ou pesquisador.

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