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Опубліковано: 12 жовтня 2023

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Статті в журналах з теми "Hear the shape of a drum"

Gordon, Carolyn, David L. Webb, and Scott Wolpert. "One Cannot Hear the Shape of a Drum." Bulletin of the American Mathematical Society 27, no. 1 (July 1, 1992): 134–39. http://dx.doi.org/10.1090/s0273-0979-1992-00289-6.

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CIPRA, B. "You Can't Hear the Shape of a Drum." Science 255, no. 5052 (March 27, 1992): 1642–43. http://dx.doi.org/10.1126/science.255.5052.1642.

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LAPIDUS, MICHEL L. "FRACTALS AND VIBRATIONS: CAN YOU HEAR THE SHAPE OF A FRACTAL DRUM?" Fractals 03, no. 04 (December 1995): 725–36. http://dx.doi.org/10.1142/s0218348x95000643.

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We study various aspects of the question “Can one hear the shape of a fractal drum?”, both for “drums with fractal boundary” (or “surface fractals”) and for “drums with fractal membrane” (or “mass fractals”).

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Zuluaga, S., and F. Fonseca. "Can’t one really hear the shape of a drum?" Acoustical Physics 57, no. 4 (July 2011): 465–72. http://dx.doi.org/10.1134/s106377101104021x.

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Amar, Martien Ben, and Patrício Da Silva. "Can one hear the shape of a smectic drum?" Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 454, no. 1978 (October 8, 1998): 2757–65. http://dx.doi.org/10.1098/rspa.1998.0279.

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Protter, M. H. "Can One Hear the Shape of a Drum? Revisited." SIAM Review 29, no. 2 (June 1987): 185–97. http://dx.doi.org/10.1137/1029041.

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Okada, Y., A. Shudo, S. Tasaki, and T. Harayama. "‘Can one hear the shape of a drum?’: revisited." Journal of Physics A: Mathematical and General 38, no. 9 (February 17, 2005): L163—L170. http://dx.doi.org/10.1088/0305-4470/38/9/l02.

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Bari, Naveed S., and Eugenie Hunsicker. "Isospectrality for Orbifold Lens Spaces." Canadian Journal of Mathematics 72, no. 2 (August 27, 2019): 281–325. http://dx.doi.org/10.4153/s0008414x19000178.

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AbstractWe answer Mark Kac’s famous question, “Can one hear the shape of a drum?” in the positive for orbifolds that are 3-dimensional and 4-dimensional lens spaces; we thus complete the answer to this question for orbifold lens spaces in all dimensions. We also show that the coefficients of the asymptotic expansion of the trace of the heat kernel are not sufficient to determine the above results.

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BEALS, RICHARD, and PETER C. GREINER. "STRINGS, WAVES, DRUMS: SPECTRA AND INVERSE PROBLEMS." Analysis and Applications 07, no. 02 (April 2009): 131–83. http://dx.doi.org/10.1142/s0219530509001335.

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This survey treats a number of interconnected topics related in one way or another to the famous paper of Mark Kac, "Can one hear the shape of a drum?": wave motion, classical and quantum inverse problems, integrable systems, and the relations between spectra and geometry. We sketch the history and some of the principal developments from the vibrating string to quantum inverse problems, the KdV equation and integrable systems, spectral geometry and the index problem.

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Johnson, Henry. "Chinese toms in the making of the drum kit: Localization and exoticism." Journal of Popular Music Education 5, no. 2 (July 1, 2021): 227–42. http://dx.doi.org/10.1386/jpme_00059_1.

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The late nineteenth century and early decades of the twentieth century saw the drum kit emerge as an assemblage of musical instruments that was central to much new music of the time and especially to the rise of jazz. This article is a study of Chinese drums in the making of the drum kit. The notions of localization and exoticism are applied as conceptual tools for interpreting the place of Chinese drums in the early drum kit. Why were distinctly Chinese drums used in the early drum kit? How did the Chinese drums shape the future of the drum kit? The drum kit has been at the heart of most popular music throughout the twentieth century to the present day, and, as such, this article will be beneficial to educators, practitioners and scholars of popular music education.

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Дисертації з теми "Hear the shape of a drum"

McCorkle, Tricia Dawn. "Math, music, and membranes: A historical survey of the question "can one hear the shape of a drum"?" CSUSB ScholarWorks, 2005. https://scholarworks.lib.csusb.edu/etd-project/2933.

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In 1966 Mark Kac posed an interesting question regarding vibrating membranes and the sounds they make. His article entitled "Can One Hear the Shape of a Drum?", which appeared in The American Mathematical Monthly, generated much interest and scholarly debate. The evolution of Kac's intriguing question will be the subject of this project.

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Adams, Christine. "Can One Hear...? An Exploration Into Inverse Eigenvalue Problems Related to Musical Instruments." Master's thesis, University of Central Florida, 2013. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/5598.

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The central theme of this thesis deals with problems related to the question, "Can one hear the shape of a drum?" first posed formally by Mark Kac in 1966. More precisely, can one determine the shape of a membrane with fixed boundary from the spectrum of the associated differential operator? For this paper, Kac received both the Lester Ford Award and the Chauvant Prize of the Mathematical Association of America. This problem has received a great deal of attention in the past forty years and has led to similar questions in completely different contexts such as "Can one hear the shape of a graph associated with the Schrodinger operator?", "Can you hear the shape of your throat?", "Can you feel the shape of a manifold with Brownian motion?", "Can one hear the crack in a beam?", "Can one hear into the sun?", etc. Each of these topics deals with inverse eigenvalue problems or related inverse problems. For inverse problems in general, the problem may or may not have a solution, the solution may not be unique, and the solution does not necessarily depend continuously on perturbation of the data. For example, in the case of the drum, it has been shown that the answer to Kac's question in general is "no." However, if we restrict the class of drums, then the answer can be yes. This is typical of inverse problems when a priori information and restriction of the class of admissible solutions and/or data are used to make the problem well-posed. This thesis provides an analysis of shapes for which the answer to Kac's question is positive and a variety of interesting questions on this problem and its variants, including cases that remain open. This thesis also provides a synopsis and perspectives of other types of "can one hear" problems mentioned above. Another part of this thesis deals with aspects of direct problems related to musical instruments.
M.S.
Masters
Mathematics
Sciences
Mathematical Science; Industrial Mathematics

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Pachón-Morales, John Alexander. "Torrefaction and grinding of lignocellulosic biomass for its thermochemical valorization : influence of pretreatment conditions on powder flow properties." Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLC051.

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Une technologie prometteuse pour répondre à la demande croissante en énergie renouvelable est la gazéification de biomasse lignocellulosique pour la production de biocarburants de deuxième génération. Ce procédé nécessite une alimentation en biomasse sous forme de poudre. Les problèmes de convoyage et de manipulation liés à la faible coulabilité de la biomasse broyée sont un verrou pour l’industrialisation des procédés BtL. La torréfaction comme procédé de prétraitement, en plus d'augmenter densité énergétique de la biomasse, peut influencer également les propriétés des particules obtenues après broyage, et en conséquence, l’écoulement des poudres. L'évaluation de l'écoulement des poudres de biomasse sous différentes conditions de consolidation est essentielle pour concevoir des technologies de manipulation et de convoyage efficaces.L'objectif de ce travail est d'évaluer l'effet des conditions de torréfaction et de broyage sur l’écoulement de poudres de biomasse. Une première partie consiste en une étude expérimentale dans laquelle la coulabilité d'échantillons torréfiés sous différentes intensités a été évaluée à l'aide d'un appareil de cisaillement annulaire. La coulabilité est corrélée à l'intensité de la torréfaction (mesurée par la perte de masse globale) pour deux essences différentes. La forme des particules semble être le paramètre qui influence de manière prédominante la coulabilité des poudres à l'état consolidé. La caractérisation de la coulabilité à l’état non consolidée a été effectuée à l'aide d'un tambour rotatif par l’analyse des avalanches des poudres. Des corrélations entre les caractéristiques des particules et la coulabilité sont ainsi établies. La modélisation de l'écoulement de la biomasse à l'aide de la Méthode des Éléments Discrets (DEM) constitue une deuxième partie de cette recherche. La taille submillimétrique des particules de biomasse, ainsi que leur faible densité, leur forme allongée et leur comportement cohésif sont des défis pour l’implémentation d’un modèle de réaliste d’écoulement particulaire en DEM. Un modèle DEM des particules de biomasse est mis en œuvre à l'aide d'une représentation simplifiée (assemblement de sphères) à gros grains de la forme des particules, ainsi que d'un modèle de force cohésif. Une procédure systématique de calibration des paramètres DEM permet d'obtenir un ensemble de paramètres ajustés. L'évolution expérimentale des contraintes de cisaillement d’une poudre dans un état consolidé peut alors être reproduite de façon réaliste. De même, le comportement d’avalanche des poudres dans un tambour tournant est également bien reproduit par les simulations, de façon qualitative et quantitative. Ces résultats mettent en évidence le potentiel des simulations DEM pour étudier l'effet des caractéristiques des particules, qui sont influencées par la torréfaction et les conditions de broyage, sur le comportement d'écoulement de la biomasse en poudre
Gasification of lignocellulosic biomass for production of second-generation biofuels is a promising technology to meet renewable energy needs. However, feeding and handling problems related to the poor flowability of milled biomass considerably hinder the industrial implementation of Biomass-to-Liquid processes. Torrefaction as pretreatment step, in addition to improving energy density of biomass, also affects the properties of the milled particles (namely size and shape) that significantly influence flow behavior. The evaluation of biomass flow characteristics under different flow conditions is essential to design efficient and trouble-free handling solutions.The aim of this work is to assess the effect of the torrefaction and grinding conditions on the biomass flow behavior. A first part consists of an experimental study in which the flow properties of samples torrefied under different intensities were obtained using a ring shear tester. Flowability is correlated to the intensity of torrefaction, as measured by the global mass loss, for two different wood species. Particle shape seems to be the predominant parameter influencing flowability of powders in a consolidated state. Characterization of non-consolidated flowability through avalanching analysis using an in-house rotating drum was also conducted. Correlations between particle characteristics and flow behavior are thus established.The modelling of biomass flow using the Discrete Element Method (DEM) constitutes a second major part of this research. Challenging aspects of biomass particle modeling are their submillimetric size, low density, elongated shape and cohesive behavior. A material DEM model is implemented using a simplified (multisphere) upscaled representation of particle shape, along with a cohesive contact model. A systematic calibration procedure results in an optimal set of DEM parameters. The experimental shear stress evolution and yield locus can then be realistically reproduced. The avalanching behavior of the powders is also well captured by simulations, both qualitatively and quantitatively. These results highlight the potential of DEM simulations to investigate the effect of particle characteristics, which are driven by torrefaction and grinding conditions, on the flow behavior of powdered biomass

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Liao, Che-Wei, and 廖哲暐. "A Study on Drum Shape Error in WEDM and the Improvement Strategy." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/93932780319549081994.

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碩士
國立臺灣大學
機械工程學研究所
98
WEDM is a machining process using thin wire electrodes. Because of the flexibility of the wire electrodes, there would be vertical alignment geometric error left on the machined surface. In most workshop practice, the error is corrected through multiple surface-finishing process, which is not efficient in time and cost.The previous studies over this issue proposed that the vertical alignment geometric error were out of two mechanisms – either vibration of the wire electrodes, or the ineffective of debris removal – both making the uneven distribution of the electoral discharge alone the wire electrodes. In this research, with SKD11 alloy of 60mm in thickness as the workpiece, the influences of the wire electrode tension, the servo voltage, and ignition delay time (Td) over the vertical alignment geometric error were observed, and also in conjunction with the ignition delay time of electrical discharged (Td) in order to figure out the suitable control index for feedback automatic control. It showed that, as the wire electrode tension increased, the influence of the wire vibration diminished, which suppressed the removal of the debris making the uneven distribution of electrical discharges. This research also noted that the vertical alignment geometric error could be categorized into two major types: nearly linear type, and irregular type. Different types of the error were attributed to two factors – the flow of debris removal, and the width of discharged gap – which reflected to different normal discharge ratios. Under the adequate normal discharge ratio, the vertical alignment geometric error would be much reduced. Based on the finding stated above, a clean-cut feedback control strategy was proposed in this research. Under the machining setting of servo feeding (G95), the normal discharge ratio was used as the control index to change the discharge off-time for the feedback control. Through on-site experiments, it was proved that, under the machining condition setting of this research, the vertical alignment geometric error could be much decreased with the normal discharge ratio of 40%. For workpiece of 60mm in thickness, the geometric error decreased from 6μm to nearly zero. For workpiece of 80mm in thickness, the geometric error decreased from 11μm to 2μm.

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Su, Hsin-Cheng, and 蘇信政. "Study to Improve Drum Shape Error in Rough Cutting of Wire-EDM." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/75782783845821137557.

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博士
國立臺灣大學
機械工程學研究所
97
Wire electrical discharge machining (Wire-EDM) is an essential material removal process in die and mold making and precision machining. This is because Wire-EDM provides the best alternative or sometimes the only alternative for machining conductive, exotic and high strength and temperature resistive (HSTR) materials with the scope of generating intricate shapes and profiles. However, it usually results in the drum shape along vertical axis (bowing) of the machined part. Several subsequent finishing cuts are needed to remove this inaccurate part so that the required dimensional tolerance is satisfied. A too large bowing will need more finishing cuts, which in turn increases machining time and cost. It also makes process planning of the allowance in advance more difficult. In the most serious case, re-do of the machined part all over again is needed. There have been very few studies on the bowing of the wire-cut machined part so far. The purpose is to find out the reason why the drum shape machined workpiece is formed, and the factors that would affect its magnitude. The effect of the vibration of wire on drum shape error is studied. The experimental results show that the drum shape machined workpiece is formed mainly due to the dielectric fluid flow and debris distribution in the machining gap. There is positive relationship of the location distribution of discharge with drum shape error. Also, the behaviour of the wire vibration observed by high speed camera. The objectives of this thesis are to investigate the relationship between the machining parameters and the characteristic of WEDM. The objectives of this dissertation are to investigate if there are significant parameters affecting barrel shape machined part (drum shape error), and to develop a mathematical model to predict drum shape error. Based on the Taguchi Quality design and the analysis of variance, it is found that comparatively workpiece thickness and ignition on time play more important roles. But statistically there is no significant factor affecting drum shape error. The size of the barrel is the result of cross effect of machining parameters. Based on this finding, the neural network with genetic algorithms to find the optimal operation machined was adopted and a model related the drum shape error and machining parameters was established. Experimental results show that the predicted error is less than 6%. By using this model the amount of drum shape error at rough machining stage can be accurately predicted, and applied for process planning of Wire-EDM. Incorporating the machining settings adjustment principles with the developed model, it is also found that the drum shape error can be reduced from 40μm to around 10μm. Thus, part with less amount of drum shape error and a better straightness 6 μm can be obtained.

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Книги з теми "Hear the shape of a drum"

Schindler, Susanne. "Can one hear the shape of a drum?": Considerations of the inverse eigenvalue problem. Oxford: Oxford Brookes University, 2000.

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Carman, Tim. Shape Beats: Drum Notation Simplified. Independently Published, 2020.

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Kudrolli, A. A. Hear the Shape of Misery? Minerva Press, 1996.

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Barry, Brent M. I Want to Hear the Beat of the Drum. PublishAmerica, 2003.

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Sharp, Thom. I Can Hear YA Knockin' for String Orchestra and Drum Set. Latham Music, Ltd., 2009.

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Graves, Susan Elaine. Can't You Hear the Howl?: A Shape Shifter Series: A Collection of Freestyle, Poetry, Prose: A Series with Each Relating to the Next, Creating a Fantasy Love Story with a Curse (A Shape Shifter Series). PublishAmerica, 2006.

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Figone, Albert J. Do No Evil, See No Evil, and Hear No Evil. University of Illinois Press, 2017. http://dx.doi.org/10.5406/illinois/9780252037283.003.0004.

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This chapter shifts the focus from the players to the coaches. After the basketball scandal broke in January of 1951, colleges, with the aid of many writers, were quick to label the players' misdeeds “criminal” and to attribute them to players' lack of moral values and flawed characters. Yet the blame for the pervasive corruption in college athletics did not rest on the shoulders of the athletes alone. The chapter argues that the college coaches, administrations, and other such authorities were also in part responsible for the gambling issue, although unlike the players, they were largely able to escape the taint of scandal. Thus, this chapter argues that how basketball coaches made their choice to ignore game fixing reveals the essential role their passive complicity played in the size and shape of the scandals.

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Liddy, Christian D. Communication. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198705208.003.0005.

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The exercise of political power in late medieval English towns was predicated upon the representation, management, and control of public opinion. This chapter explains why public opinion mattered so much to town rulers; how they worked to shape opinion through communication; and the results. Official communication was instrumental in the politicization of urban citizens. The practices of official secrecy and public proclamation were not inherently contradictory, but conflict flowed from the political process. The secrecy surrounding the practices of civic government provoked ordinary citizens to demand more accountability from town rulers, while citizens, who were accustomed to hear news and information circulated by civic magistrates, were able to use what they knew to challenge authority.

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De Souza, Jonathan. Horns To Be Heard. Oxford University Press, 2017. http://dx.doi.org/10.1093/acprof:oso/9780190271114.003.0007.

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How do listeners relate to musial instruments that they do not play? This chapter investigates technically mediated modes of listening in the context of Haydn’s horn music. The valveless horns in Haydn’s orchestra had distinctive pitch affordances, which gave rise to several idiomatic figures. This instrumental invariance can shape tonal expectations, affecting how the music appears to listeners. Haydn (and other composers) also used horn calls in compositions for other instrumental forces. If situated listeners are attuned to schematic instrumental textures—if, for example, they can hear virtual horns in a string quartet or piano piece—this implies that their perception is grounded in multimodal experiences of instruments. Like performance, then, listening is both embodied and conditioned by technology.

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Mansell, James G. National Acoustics. University of Illinois Press, 2017. http://dx.doi.org/10.5406/illinois/9780252040672.003.0005.

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This chapter takes the case study of the Second World War to trace the progress of the various “ways of hearing” outlined so far in the book. The chapter focusses on national sounds and national hearing as features of sonic modernity, tracing the war’s influence on attempts to shape the auditory space of the nation. It shows how the noise abatement movement dealt with the war, taking civil defence workers out of the city for quiet rest breaks in the countryside, and considers the meaning of different wartime sounds, such as bomb noise and church bells, to the wartime nation. The chapter argues that wartime citizens were situated as hearers and directed towards “healthy” ways to hear the war by different auditory experts.

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Частини книг з теми "Hear the shape of a drum"

Lapidus, Michel L. "Can One Hear the Shape of a Fractal Drum? Partial Resolution of the Weyl-Berry Conjecture." In Mathematical Sciences Research Institute Publications, 119–26. New York, NY: Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4613-9711-3_13.

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Nursultanov, Medet, Julie Rowlett, and David Sher. "How to Hear the Corners of a Drum." In 2017 MATRIX Annals, 243–78. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-04161-8_18.

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Gordon, Carolyn S. "You Can’t Hear the Shape of a Manifold." In New Developments in Lie Theory and Their Applications, 129–46. Boston, MA: Birkhäuser Boston, 1992. http://dx.doi.org/10.1007/978-1-4612-2978-0_7.

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Bratteli, Ola, and Palle Jorgensen. "Can you hear the shape of a wavelet?" In Applied and Numerical Harmonic Analysis, 147–202. Boston, MA: Birkhäuser Boston, 2002. http://dx.doi.org/10.1007/978-0-8176-8144-9_3.

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Fujiwara, Koji. "Can One Hear the Shape of a Group?" In Springer Proceedings in Mathematics & Statistics, 139–46. Tokyo: Springer Japan, 2016. http://dx.doi.org/10.1007/978-4-431-56021-0_7.

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Graham, Ron, and Kevin O’Bryant. "Can You Hear the Shape of a Beatty Sequence?" In Additive Number Theory, 39–52. New York, NY: Springer New York, 2010. http://dx.doi.org/10.1007/978-0-387-68361-4_3.

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Hettich, Katja. "Can You Hear the Love Tonight? Creating Cinematic Romance with Diegetic Songs." In When Music Takes Over in Film, 203–24. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-030-89155-8_11.

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AbstractThis chapter argues that ‘romance’ as a film genre is best conceived of as an affective experience provided not only by narrative but also by stylistic means. Against this background, it explores a particular type of musical moment in non-musical films: scenes that portray, reflect and shape conceptions of romantic love and create various forms of cinematic romance through the diegetic use of popular songs. Drawing from research on the physical and psychological effects of listening to music, the chapter points out in which aspects songs are placed in a special relationship with romance. Based on the assumption that diegetic song moments can be considered as communicative acts, it proposes starting points for analysing different forms of diegetic song moments. Using examples from films of the last decades, it shows how different narrative set-ups, ways of integrating diegetic songs, performance styles and diegetic audiences influence the shape of cinematic romance.

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Sandul, Amy L., and Veda B. Moore. "Harm Reduction: Tipping the Balance Toward Treatment and Recovery." In Public Health Ethics Analysis, 141–52. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-92080-7_10.

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AbstractOpioid use has risen dramatically over the past 40 years. In response, federal programs and policies aimed at decreasing supply of prescription opioids have stabilized excessive prescribing. Unintended consequences of limiting the quantity of prescription opioids in the population has resulted in increased use of illicit drugs and opened a pathway of transition from misuse of pills to injection of heroin and use of potent formulations of cheap, synthetic opioids such as fentanyl. Harm reduction interventions function at the community level to provide health benefits and avoidance of harm to persons engaging in illicit and injection drug use. The Consolidated Appropriations Act of 2016 gives states, local, tribal, and territorial health departments the opportunity to use federal money to support a comprehensive set of harm reduction services. Critics of harm reduction strategies argue that formalizing and legalizing certain activities creates the perception that communities and local authorities are sanctioning or encouraging illicit/illegal drug use. Syringe services programs that provide clean needles and syringes so people who inject drugs are not forced to share or reuse injection equipment, are often at the heart of such controversy. This story addresses tensions that exist in communities grappling with harm reduction approaches to opioid and injection drug use.

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Earl, Richard. "I’ll name that tune in…" In Mathematical Analysis: A Very Short Introduction, 112–29. Oxford University PressOxford, 2023. http://dx.doi.org/10.1093/actrade/9780198868910.003.0006.

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Abstract A piano string can vibrate to create a single, pure note, but generally a vibration is made up of infinite such pure contributions or ‘harmonics’. Fourier analysis—named after Joseph Fourier—is the idea of expressing general vibrations as an infinite sum of harmonics. ‘I’ll name that tune in…’ describes Fourier’s work, which has wider significance, for example in quantum theory. It would take the development of an infinite-dimensional analysis, called ‘functional analysis’, in the 20th century to describe all these applications rigorously. The chapter also discusses the related question: can you hear the shape of a drum? That is, can differently shaped drums produce the same frequencies of harmonics?

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Pratama, Onny Nur. "The Meaning of the Deer Representation on Dambus from Bangka Island." In Wie wir leben wollen. Kompendium zu Technikfolgen von Digitalisierung, Vernetzung und Künstlicher Intelligenz, 229–38. Logos Verlag Berlin, 2021. http://dx.doi.org/10.30819/5319.18.

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Dambus is one of the art products (traditional music) found on Bangka Island used by the landbased people. They are obviously related to Malay people. Dambus is a term used for musical instruments, music (ensembles), patterns, techniques, songs and dances. The dambus art in its ensemble consisted of a tawak-tawak, a larger main drum, anak drum that was smaller in size, a tambourine and a gong. The dambus has a unique feature. It is the instrument head shape that resembles a deer head which contrasts with Malay beliefs namely with the teachings of Islam. In Islamic teachings it is strictly prohibited to make something similar to a statue or idol as the form of a dambus. The Bangka community also had the activity of ngelapun or berasuk in the past. Ngelapon or berasuk is a community activity that hunts deer in groups using a type of Lelapun (trap). During the Berume event, tradition of Ngetep Nasik Baru, Rusa's animal meat was one of the side dishes presented during the process of preparing food from the first crop, called ‘new rice’. This research will explain how all these things are interconnected to get a common thread about the meaning of the deer head representation on the musical instrument dambus of Bangka.

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Тези доповідей конференцій з теми "Hear the shape of a drum"

Ma, Qin. "Analogy Between Transient Heat Conduction and Dissolution of Solid Particles in Liquids Based on the Shrinking Core Model." In ASME 2017 Heat Transfer Summer Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/ht2017-5009.

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In this study, the analogy between transient heat conduction and mass transfer is applied to investigate the dissolution behavior of solid particles in liquids, particularly, for the transport phenomenon associated with the controlled drug release process. Mathematical modeling is established assuming the shrinking core is solely caused by the diffusion mechanism. The transport governing equations for the dissolution process of controlled drug release are compared with the transient heat conduction differential equations. Analogous quantities, certain analytical solutions and numerical solutions for complex geometry are obtained to demonstrate the dissolution behavior of this specific type of solid particles in liquids based on the proposed shrinking core model. It is found that the shape of the drug capsule plays an important role for effective and timely release of drug content after intake. Among the three shapes investigated herein, sphere, cube and cuboid, we conclude that the drug concentration in a cuboid shaped drug head depletes the quickest whereas the spherical shaped head dissolves the slowest.

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ARRIGHETTI, W., and G. GEROSA. "CAN YOU HEAR THE FRACTAL DIMENSION OF A DRUM?" In Proceedings of the 7th Conference. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701817_0007.

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Herz, Fabian, Yogesh Sonavane, and Eckehard Specht. "Analysis of Local Heat Transfer in Direct Fired Rotary Kilns." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-22086.

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Heat transfer in the rotary kiln is a complex phenomenon due to the different modes of heat transfer. In the first part of this study, the local heat transfer coefficients are analysed theoretically, to describe the heat transfer mechanisms in the cross section of the rotary kiln. Furthermore, the axial solid motion along the length of the kiln is considered in the local surfaces which exchanges the heat. A pilot plant drum of length 0.45 m and internal diameter of 0.6 m has been designed and fabricated to measure the contact heat transfer coefficient from the kiln wall to the covered solid bed. The cylinder is heated continuously by means of three electrical heaters fixed externally around the cylinder at various positions. K-type thermocouples have been used to measure the wall and solid bed temperature along the circumferential and the radial direction. Experiments are performed with various materials such as Quartz sand and Copper pellets of different size, shape and thermal conductivity. The effect of the material properties, the rotational speed (1–6 rpm) and the filling degree (10–20%) on the contact heat transfer have been studied thoroughly.

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Cosmo, Luca, Mikhail Panine, Arianna Rampini, Maks Ovsjanikov, Michael M. Bronstein, and Rodola Rodola. "Isospectralization, or How to Hear Shape, Style, and Correspondence." In 2019 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2019. http://dx.doi.org/10.1109/cvpr.2019.00771.

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Shih, Oliver, and Anthony Rowe. "Can a phone hear the shape of a room?" In IPSN '19: The 18th International Conference on Information Processing in Sensor Networks. New York, NY, USA: ACM, 2019. http://dx.doi.org/10.1145/3302506.3310407.

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Hultén, Johan, John Flint, and Thomas Nellemose. "Mode Shape of a Squealing Drum Brake." In SAE Noise and Vibration Conference and Exposition. 400 Commonwealth Drive, Warrendale, PA, United States: SAE International, 1997. http://dx.doi.org/10.4271/972028.

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Nguyen, Linh, Jaime Valls Miro, and Xiaojun Qiu. "Can a Robot Hear the Shape and Dimensions of a Room?" In 2019 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS). IEEE, 2019. http://dx.doi.org/10.1109/iros40897.2019.8968612.

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MATSUMOTO, WAICHIRO, Minoru Murai, and Shoji Yotsutani. "ONE CAN HEAR THE SHAPES OF SOME NON-CONVEX DRUMS." In Proceedings of the 5th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812835635_0083.

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Dokmanic, Ivan, Yue M. Lu, and Martin Vetterli. "Can one hear the shape of a room: The 2-D polygonal case." In ICASSP 2011 - 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2011. http://dx.doi.org/10.1109/icassp.2011.5946405.

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Scire` Mammano, Giovanni, and Eugenio Dragoni. "Modelling of Wire-on-Drum Shape Memory Actuators for Linear and Rotary Motion." In ASME 2010 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2010. http://dx.doi.org/10.1115/smasis2010-3616.

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The paper presents the analytical model of a linear/rotary solid-state actuator formed by a shape memory wire wound over a cylindrical drum. The model assumes a bilinear stress-strain behaviour of the wire in the martensitic state (low temperature) and a linear elastic response in the austenitic state (high temperature). Based on simple equilibrium conditions, the model calculates the stress and strain distributions in the wire subjected to a constant backup force and to frictional sliding forces at the contact with the drum. Closed-form expressions are supplied for the stroke produced by whatever actuator geometry. The model shows that large strokes (up to one half of the drum diameter) are achieved if the frictional coefficient is kept below 0.01. Rolling-contact architectures or sonic-pulse excitation of the drum are discussed as technical solutions to obtain such low friction values.

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