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Journal articles on the topic 'Chladni figures'

Author: Grafiati

Published: 28 June 2021

Last updated: 29 July 2025

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1

Müller, Thomas. "Numerical Chladni figures." European Journal of Physics 34, no. 4 (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 (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

Cheng, Feng, Zhongning Guo, and Junjun Lei. "Assembly and dynamic manipulations of 3D Chladni figures in a cylindrical cavity using standing bulk acoustic waves." Journal of the Acoustical Society of America 157, no. 4 (2025): 2896–904. https://doi.org/10.1121/10.0036435.

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A method based on standing bulk acoustic waves (BAWs) is introduced for the three-dimensional (3D) arrangement and manipulation of microparticles in a fluid. Specifically, the study demonstrates the simultaneous assembly of both Chladni and inverse Chladni figures by generating controllable 3D standing BAWs in a cylindrical cavity using a single piezoelectric transducer. An aluminum alloy chip-based acoustofluidic device is developed for ultrasonic microparticle manipulations. When exposed to harmonic ultrasonic excitations, standing BAWs are generated in the cylindrical cavity, causing the su

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4

Libisch, F., S. Rotter, and J. Burgdörfer. "Chladni figures in Andreev billiards." European Physical Journal Special Topics 145, no. 1 (2007): 245–54. http://dx.doi.org/10.1140/epjst/e2007-00160-5.

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5

Dixit, Anirudh, and Kiran P. Wani. "Modal and harmonic acoustical analysis of a circular rubber membrane and classification of resonant frequencies using deep learning." Journal of Physics: Conference Series 2601, no. 1 (2023): 012034. http://dx.doi.org/10.1088/1742-6596/2601/1/012034.

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Abstract Mode shapes of a component or a structure can be determined by conducting Modal analysis. Chladni figures can also be used to determine the mode shapes of a plate. In this research comparison of these mode shapes using Chladni figures and ANSYS simulation has been carried out. Analysis systems used for ANSYS simulation are Harmonic Acoustic Analysis and modal analysis. With the help of wave equation, a mathematical formulation has been achieved. The experimental and simulation results are compared, and an error of not more than 9% for modal and 10% for harmonic acoustics is found. Cla

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6

Khedkar, Nitin, Kiran Wani, Vijaykumar Jatti, and Vivek Joshi. "Experimental, Modal, and Harmonic Response Analysis of a Chladni Plate at Ultrasonic Frequencies." Engineering, Technology & Applied Science Research 13, no. 6 (2023): 12289–94. http://dx.doi.org/10.48084/etasr.6428.

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Mode shapes and natural frequencies of mechanical structures can be determined with the Chladni approach. Visual patterns are generated on the Chladni plate if it is exposed to vibrations. These patterns are known as Chladni patterns/figures. Mechanical vibrators are used to excite the plates at particular frequencies for pattern generation, but based on the making and application, their range is limited up to 10 kHz. Piezoelectric transducers are a special kind of transducers that are capable of generating ultrasonic frequencies and if are attached to a plate, intricate visual patterns can be

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7

Wei, Tianyi. "Further Study of Music Visualization: Chladni's Figure." Journal of Education, Humanities and Social Sciences 38 (September 28, 2024): 313–20. http://dx.doi.org/10.54097/c8dp7j27.

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By applying the principle of standing waves, the various scales produced by a piano within music software can be transformed into Chladni figures. These figures, which visually represent the vibration patterns of a surface, can be captured using photographic equipment. By carefully selecting the most accurate patterns and organizing them into a comprehensive table, it is possible to create a visual representation of Chladni figures corresponding to each musical syllable. This method provides a unique way to visualize the acoustic characteristics of different musical notes.

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8

Suciu, Barenten, and Sota Karimine. "Visualization of Chladni Patterns at Low-Frequency Resonant and Non-Resonant Flexural Modes of Vibration." European Journal of Engineering and Technology Research 9, no. 3 (2024): 25–32. http://dx.doi.org/10.24018/ejeng.2024.9.3.3165.

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In this study, Chladni patterns corresponding to resonant and non-resonant vibration modes are visualized on square plates made in steel and aluminum alloys in the low frequency domain of 10–210 Hz. Using a laser sensor, the plate displacement at its central excitation point is measured, and from the obtained frequency response, the resonant and anti-resonant vibration modes are identified. Using the quality-factor method, the damping ratio corresponding to the 1st resonant peak is evaluated. Over a wide range of excitation frequencies, transitions of Chladni figures between resonant patterns

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9

Suciu, Barenten, Sota Karimine, Naofumi Yamazumi, and Yuki Mitsuishi. "On the Wavelength and Frequency of the Actual Chladni Patterns Visualized on Square Plates." European Journal of Engineering and Technology Research 10, no. 1 (2025): 1–14. https://doi.org/10.24018/ejeng.2025.10.1.3217.

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In this study, Chladni patterns are visualized on square plates made of various metallic materials in the domain of low frequencies around the first flexural resonant peak. Using the membrane and the thin plate models, the undamped and damped natural frequency of the square panel is explicitly expressed versus the mean wavelength of the bending vibration. The wavelength of the idealized Chladni figures is evaluated for linear and curvilinear nodal lines relevant to our experiments. Significant discrepancy between the computed and measured frequencies is corrected based on the wavelength evalua

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10

Wade, Nicholas J. "Sound and Sight: Acoustic Figures and Visual Phenomena." Perception 34, no. 10 (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

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11

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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12

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 (2015): 64004. http://dx.doi.org/10.1209/0295-5075/111/64004.

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13

Cortel, Adolf. "Nodes and Antinodes in Two-Color Chladni Figures." Physics Teacher 59, no. 6 (2021): 462–63. http://dx.doi.org/10.1119/10.0006129.

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14

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 (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

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15

Valiyov, Boris M., and Vladimir D. Yegorenkov. "Circles in the sand: methods for reproducing Chladnis figures." Physics Education 40, no. 5 (2005): 408–10. http://dx.doi.org/10.1088/0031-9120/40/5/f03.

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16

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

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17

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

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18

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 (2018): 164901. http://dx.doi.org/10.1063/1.5050025.

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19

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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20

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 significa

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21

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 (2017): 49–57. http://dx.doi.org/10.1134/s1990478917010069.

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22

Zumba Novay, Ember Geovanny, Manuel Fernando González Puente, Ana Lucía Tacan Meneses, and Carmen Jhuliana Peña Robles. "Analysis of Sound Frequencies: Fundamentals, Applications, and Experiments (Resonance, Particles, and Patterns)." Revista Tecnológica Ciencia y Educación Edwards Deming 9, no. 2 (2025): 85–103. https://doi.org/10.37957/rfd.v9i2.158.

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The present research offers a rigorous and interdisciplinary analysis of the concept of frequency, addressing its mathematical definition and its application in key fields such as acoustics, medicine, electronics, physics, and astronomy. Frequency, measured in hertz (Hz), constitutes a fundamental parameter in understanding wave, vibrational, and energetic phenomena. This basic, qualitative, and experimental study was conducted using a descriptive-explanatory design, supported by a systematic review academic sources, from which highly relevant articles were selected for theoretical and practic

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23

Camacho Lozada, Kyara Mayte Cielo, Gerardo Matias Calizaya Álvarez, Atilio Rodolfo Buendía Giribaldi, and Rafael Edgardo Carlos Reyes. "Figuras sonoras de Chladni para el desarrollo del pensamiento abstracto en niños de 5 años." FitoVida 2, no. 2 (2023): 34–42. http://dx.doi.org/10.56275/fitovida.v2i2.26.

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Este estudio investigó el impacto de las figuras sonoras de Chladni en el desarrollo del pensamiento abstracto en niños de 5 años, empleando una metodología experimental que combinó sesiones prácticas y tecnológicas. Se llevaron a cabo sesiones interactivas en las que los niños participaron activamente en la creación de patrones geométricos mediante arena y vibraciones. Durante estas sesiones, se fomentó la observación detallada y la manipulación directa de las figuras sonoras. Además, se implementó el lenguaje de programación Python para la generación y manipulación de las figuras de Chladni,

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24

Alves, Marcos Paulo de Sousa Silva, Francisco Tawan Silva de Sousa, and Éric Carvalho Rocha. "Figuras Cimáticas: análise da dimensão fractal utilizando o prato de chladni e a linguagem python." Revista Ensino em Debate 3 (August 27, 2024): e202431. http://dx.doi.org/10.21439/2965-6753.v3.e202431.

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Este trabalho abordou o fenômeno da cimática através da construção de um Prato de Chladni em um experimento de baixo custo. Inspirado nos estudos de Ernest Chladni, buscou-se destacar como o estudo das ondas sonoras pode gerar padrões visíveis. Como principal objetivo, este trabalho buscou calcular a dimensão fractal das Figuras de Chladni formadas no dispositivo. Metodologicamente, esta pesquisa tem finalidade instrucional, de cunho experimental com levantamento bibliográfico. Para a geração dos padrões, utilizou-se matérias acessíveis como chapa de metal inoxidável, rádio antigo e um smartph

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25

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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26

Gao, Zhaoshuai, Lixin Yin, Weina Fang, et al. "Imaging Chladni Figure of Plasmonic Charge Density Wave in Real Space." ACS Photonics 6, no. 11 (2019): 2685–93. http://dx.doi.org/10.1021/acsphotonics.9b00644.

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27

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

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28

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

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29

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 connectio

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30

Krysenko, Pavlo Ihorovych, Maksym Olehovych Zoziuk, Oleksandr Ivanovych Yurikov, Dmytro Volodymyrovych Koroliuk, and Yurii Ivanovych Yakymenko. "Chladni Figures Simulation on a Rectangular Plate." Microsystems, Electronics and Acoustics 26, no. 3 (2021). http://dx.doi.org/10.20535/2523-4455.mea.241698.

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An analytical model for creating flat Chladni figures is presented. The equation of a standing wave in the simplest boundary conditions and the Fourier transform are used. Top view images are shown at different frequencies. The practical significance of the results obtained for the further development of the field of creating Chladni figures based on standing waves of different physical nature has been determined.

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31

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

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32

Soloodov, Igor, Darya Derusova, and Markus Rahammer. "Thermosonic Chladni figures for defect-selective imaging." April 22, 2015. https://doi.org/10.5281/zenodo.17011.

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33

Dorrestijn, M., A. Bietsch, T. Açıkalın, et al. "Chladni Figures Revisited Based on Nanomechanics." Physical Review Letters 98, no. 2 (2007). http://dx.doi.org/10.1103/physrevlett.98.026102.

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34

Corless, Robert. "Pure tone modes for an elliptic 5:3 drum." Maple Transactions 5, no. 1 (2025). https://doi.org/10.5206/mt.v5i1.22463.

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This paper shows how to draw the Chladni figures and contour plots for the mode shapes of a vibrating elliptical drum. A Chladni figure is named for a German physicist who found that sprinkling sand on a metal plate held fixed at the center and then vibrating the plate using a violinist's bow would produce patterns shown by the sand collecting on the lines where the plate was relatively motionless. This paper uses Mathieu functions to model what would happen if the plate were elliptical and held fixed at the edges.

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35

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 (2018). http://dx.doi.org/10.1038/s41598-018-29244-6.

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36

Jirásek, Ondřej. "Dreadnought guitar top plate innovation." VOLUME 46 46, VOLUME 46 (2023). http://dx.doi.org/10.36336/akustika20234646.

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This paper describes the innovation of Dreadnought guitars, especially braces on top plate. The goal was to increase the dynamic range of the instruments, not only in strength but also in spectral spread. The prolongation of tones in the Sustain and Release phases was also important. Mechanical and acoustic properties of instruments from Furch Guitars' production were measured (Chladni figures, frequency response), numerical simulation of innovated top plate in program ANSYS was prepared (by the matrix) and the changes in organisation of ribs were proposed as following. The new samples of inno

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37

Neres, Thomaz Santos, Edvaldo Alves de Souza, and Emerson Luís Santa-Helena. "Estudo dos padrões estacionários de Chladni." Revista Brasileira de Ensino de Física 46 (2024). http://dx.doi.org/10.1590/1806-9126-rbef-2023-0354.

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A física ondulatória descreve sistemas físicos nos quais uma força restauradora comanda o movimento oscilatório do sistema em torno de um ponto de equilíbrio. Essas oscilações se manifestam em diferentes tipos de ondas e se propagam com velocidades associadas às distintas características do meio de propagação. Uma manifestação que impressiona pela simetria, pela própria elegância, são os padrões de Chladni, que inclusive são utilizados como indicador de qualidade na fabricação de instrumentos musicais. Neste trabalho são apresentados um aparato experimental simples e uma interface gráfica mate

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38

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 (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 apres

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39

Carmo Júnior, José Roberto do, and Leandro Gawlowski. "Dispositivo acionador de corda para cordofones dedilhados e friccionados." Revista Brasileira de Luteria 2, no. 1 (2023). http://dx.doi.org/10.5380/rbl.v2i1.83729.

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Neste artigo descrevemos as etapas de projeto e construção de um dispositivo que coloca em vibração a corda de um instrumento musical de forma remota, independentemente da intervenção humana. Concebido inicialmente para padronizar testes de transdutores para instrumentos musicais de corda, o dispositivo pode também ser utilizado pelo luthier para analisar o posicionamento de captadores, auxiliar na detecção de ruídos, gerar figuras de Chladni, entre outros usos. O dispositivo consiste em um circuito amplificador de sinal de áudio baseado no amplificador operacional LM386, e é composto por duas

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