The Sound Figures in Goethe, Schopenhauer, and Nietzsche
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Response Variation of Chladni Patterns on Vibrating Elastic Plate Under Electro-Mechanical Oscillation
Nigerian Journal of Technology (NIJOTECH) Vol. 38, No. 3, July 2019, pp. 540 – 548 Copyright© Faculty of Engineering, University of Nigeria, Nsukka, Print ISSN: 0331-8443, Electronic ISSN: 2467-8821 www.nijotech.com http://dx.doi.org/10.4314/njt.v38i3.1 RESPONSE VARIATION OF CHLADNI PATTERNS ON VIBRATING ELASTIC PLATE UNDER ELECTRO-MECHANICAL OSCILLATION A. E. Ikpe1,*, A. E. Ndon2 and E. M. Etuk3 1, DEPT OF MECHANICAL ENGINEERING, UNIVERSITY OF BENIN, P.M.B. 1154, BENIN, EDO STATE, NIGERIA 2, DEPT OF CIVIL ENGINEERING, AKWA IBOM STATE UNIVERSITY, MKPAT ENIN, AKWA IBOM STATE, NIGERIA 3, DEPT OF PRODUCTION ENGINEERING, UNIVERSITY OF BENIN, P.M.B. 1154, BENIN, EDO STATE, NIGERIA E-mail addresses: 1 [email protected], 2 [email protected], 3 [email protected] ABSTRACT Fine grain particles such as sugar, sand, salt etc. form Chladni patterns on the surface of a thin plate subjected to acoustic excitation. This principle has found its relevance in many scientific and engineering applications where the displacement or response of components under the influence of vibration is vital. This study presents an alternative method of determining the modal shapes on vibrating plate in addition to other existing methods like the experimental method by Ernst Chladni. Three (3) finite element solvers namely: CATIA 2017 version, ANSYS R15.0 2017 version and HYPERMESH 2016 version were employed in the modelling process of the 0.40 mm x 0.40 mm plate and simulation of corresponding mode shapes (Chladni patterns) as well as the modal frequencies using Finite Element Method (FEM). Result of modal frequency obtained from the experimental analysis agreed with the FEM simulated, with HYPERMESH generated results being the closest to the experimental values. -
00 Portadillas
La primera Historia de la Literatura romana: el programa de curso de F. A. Wolf (1787) 1 Francisco GarCía -J UradO Bernd MarIzzI Universidad Complutense [email protected] [email protected] recibido: 31 de marzo de 2009 aceptado: 20 de octubre de 2009 RESUMEN Se ofrece por primera vez en versión castellana el programa de Historia de la Literatura romana publi - cado por Friedrich august Wolf en 1787. El programa, escrito originalmente en alemán (y no en latín, como era normal en este tipo de publicaciones), contiene la primera formulación de una historia litera - ria en términos de literatura nacional. asimismo, se hace un estudio biográfico del autor y de su im - pronta en España, al tiempo que se ofrece un comentario de las ideas historiográficas que sustentan el curso, no ajenas a la estética del llamado Clasicismo de Weimar. Palabras clave: Historia literaria. Literatura romana. Friedrich august Wolf. GarCía -J UradO , F., MarIzzI , B., «La primera Historia de la Literatura romana: el programa de curso de F. a. Wolf (1787)», Cuad. fil. clás. Estud. Lat . 29.2 (2009) 145-177. The first History of roman Literature: F. a. Wolf’s lecture programme (1787) AbStRAct This is the first time F. a. Wolf’s History of roman Literature Programme is translated to Spanish since its first edition in 1787. The programme is written in German (not in Latin, as it was usual in this kind of studies), and roman Literature is shown as a national literature. In addition, we study Wolf’s life, his influence in Spain and we offer a commentary on historiographic ideas found in his programme. -
Orbital Shaped Standing Waves Using Chladni Plates
doi.org/10.26434/chemrxiv.10255838.v1 Orbital Shaped Standing Waves Using Chladni Plates Eric Janusson, Johanne Penafiel, Andrew Macdonald, Shaun MacLean, Irina Paci, J Scott McIndoe Submitted date: 05/11/2019 • Posted date: 13/11/2019 Licence: CC BY-NC-ND 4.0 Citation information: Janusson, Eric; Penafiel, Johanne; Macdonald, Andrew; MacLean, Shaun; Paci, Irina; McIndoe, J Scott (2019): Orbital Shaped Standing Waves Using Chladni Plates. ChemRxiv. Preprint. https://doi.org/10.26434/chemrxiv.10255838.v1 Chemistry students are often introduced to the concept of atomic orbitals with a representation of a one-dimensional standing wave. The classic example is the harmonic frequencies which produce standing waves on a guitar string; a concept which is easily replicated in class with a length of rope. From here, students are typically exposed to a more realistic three-dimensional model, which can often be difficult to visualize. Extrapolation from a two-dimensional model, such as the vibrational modes of a drumhead, can be used to convey the standing wave concept to students more easily. We have opted to use Chladni plates which may be tuned to give a two-dimensional standing wave which serves as a cross-sectional representation of atomic orbitals. The demonstration, intended for first year chemistry students, facilitates the examination of nodal and anti-nodal regions of a Chladni figure which students can then connect to the concept of quantum mechanical parameters and their relationship to atomic orbital shape. File list (4) Chladni manuscript_20191030.docx (3.47 MiB) view on ChemRxiv download file SUPPORTING INFORMATION Materials and Setup Phot.. -
Martinho, Claudia. 2019. Aural Architecture Practice: Creative Approaches for an Ecology of Affect
Martinho, Claudia. 2019. Aural Architecture Practice: Creative Approaches for an Ecology of Affect. Doctoral thesis, Goldsmiths, University of London [Thesis] https://research.gold.ac.uk/id/eprint/26374/ The version presented here may differ from the published, performed or presented work. Please go to the persistent GRO record above for more information. If you believe that any material held in the repository infringes copyright law, please contact the Repository Team at Goldsmiths, University of London via the following email address: [email protected]. The item will be removed from the repository while any claim is being investigated. For more information, please contact the GRO team: [email protected] !1 Aural Architecture Practice Creative Approaches for an Ecology of Affect Cláudia Martinho Goldsmiths, University of London PhD Music (Sonic Arts) 2018 !2 The work presented in this thesis has been carried out by myself, except as otherwise specified. December 15, 2017 !3 Acknowledgments Thanks to: my family, Mazatzin and Sitlali, for their support and understanding; my PhD thesis’ supervisors, Professor John Levack Drever and Dr. Iris Garrelfs, for their valuable input; and everyone who has inspired me and that took part in the co-creation of this thesis practical case studies. This research has been supported by the Foundation for Science and Technology fellowship. Funding has also been granted from the Department of Music and from the Graduate School at Goldsmiths University of London, the arts organisations Guimarães Capital of Culture 2012, Invisible Places and Lisboa Soa, to support the creation of the artworks presented in this research as practical case studies. -
František Kupka: Sounding Abstraction – Musicality, Colour and Spiritualism
Issue No. 2/2019 František Kupka: Sounding Abstraction – Musicality, Colour and Spiritualism Anna-Maria von Bonsdorff, PhD, Chief Curator, Finnish National Gallery / Ateneum Art Museum, Helsinki Also published in Anne-Maria Pennonen, Hanne Selkokari and Lene Wahlsten (eds.), František Kupka. Ateneum Publications Vol. 114. Helsinki: Finnish National Gallery / Ateneum Art Museum 2019, 11–25. Transl. Tomi Snellman The art of František Kupka (1871–1957) has intrigued artists, art historians and exhibition visitors for many decades. Although nowadays Kupka’s name is less well known outside artistic circles, in his day he was one of the artists at the forefront in creating abstract paintings on the basis of colour theory and freeing colours from descriptive associations. Today his energetic paintings are still as enigmatic and exciting as they were in 1912, when his completely non- figurative canvases, including Amorpha, Fugue in Two Colours and Amorpha, Warm Chromatics, created a scandal when they were shown in the Salon d’Automne in Paris. It marked a turning point in many ways, not least in the decision of the Gaumont Film Company to use Kupka’s abstract works for the news in cinemas in France, Germany, the United States and England.1 And as we will see, Kupka’s far-reaching shift to abstraction was a long process which grew partly out of his childhood interest in spiritualism and partly from Symbolist and occultist ideas to crystallise into the concept of an art which could be seen, felt and understood on a more multisensory basis. Kupka’s art reflects the idea of musicality in art, colour and spiritualism. -
Wave Goodbye to Sound Waves
www.cymascope.com Wave Goodbye to Sound Waves Wave Goodbye to Sound Waves John Stuart Reid Sound is a wave, right? If you share this commonly held belief it is probably because everything you have ever read or been told about sound, whether from high school, popular science books or university courses has said so. And yet, if our eyes could see sound, we would not see waves wiggling their way through the air. Instead, we would see something quite surprising, as you will soon learn. So how did the popular belief in ‘sound waves’ begin? The confusion may have begun with German musician and physicist Ernst Chladni (1756-1827), sometimes described as ‘the father of acoustics.’ Chladni was inspired by the earlier work of English scientist Robert Hooke (1635–1703), who made contributions to many fields including mathematics, optics, mechanics, architecture and astronomy. In 1680 Hooke devised an apparatus consisting of a glass plate covered with flour that he ‘played’ with a violin bow. He was fascinated by the resulting patterns. Around 1800 this phenomenon Ernst Chladni was further explored by Ernst Robert Hooke Chladni, who used a brass plate and sand. Brass is a highly resonant metal and the bell-like sounds he created resulted in the sand grains organizing themselves into complex geometric patterns. These archetypal patterns are now referred to as ‘Chladni Figures,’ although the originator of the invention was actually Hooke. Chladni demonstrated this seemingly magical phenomenon all over Europe and he even had an audience with Napoleon. The French leader was so impressed that he sponsored a competition with The French Academy of Sciences in order to acquire an explanation as to the mechanism behind the sand patterns. -
Now You See It, Now You Don't!
CALIFORNIA STATE SCIENCE FAIR 2009 PROJECT SUMMARY Name(s) Project Number Stephanie S. Manson-Hing J1315 Project Title Now You See It, Now You Don't! Abstract Objectives/Goals The objective of my science project is to explore how the perception of objects, using peripheral vision, is affected by the objects' color. Methods/Materials I tested ten people from two different age groups: 30-60 year old adults and 13-15 year old adolescents. Using a vision protractor I designed and created myself for the project (made out of foam core), I tested which out of the colors blue, red, yellow, and green was percepted easiest and at the earliest degree on the protractor. Each person must focus on a pin in their direct line of central vision (90 degree mark on the vision protractor) thus forcing them to use their peripheral vision to detect the different, nickel sized, colored objects. I tested both eyes/sides of peripheral vision in my experiment. Results After gathering together my data, I concluded that the object colored yellow, for both age groups, was detected earliest and was easiest to see. For the 13-15 year old age group, the average perception was 9.5 degrees and the average for the 30-60 year olds was 11 degrees. I also figured out that green was the most difficult color of object to recognize. The younger age group recognized the objects earlier in general (with all four colors) by about 2-4 degrees on both sides. Conclusions/Discussion My hypothesis: If I test peripheral vision using the colors blue, red, yellow, and green, then the brightest color, yellow will be detected earliest and easiest out of the four colors, was proven correct by my experiment#s data. -
CHLADNI PATTERNS by Tom and Joseph Irvine
CHLADNI PATTERNS By Tom and Joseph Irvine September 18, 2000 Email: [email protected] ______________________________________________________________________ HISTORICAL BACKGROUND Ernst Chladni (1756-1827) was a German physicist who performed experimental studies of vibrating plates. Specifically, he spread fine sand over metal or glass plates. He then excited the fundamental natural frequency of the plate by stroking a violin bow across one of its edges. As a result, a standing wave formed in the plate. A standing wave has "anti-nodes" where the maximum displacement occurs. A standing wave also has "nodes" where no displacement occurs. For a vibrating plate, the nodes occur along "nodal lines." In Chladni's experiment, the sand grains responded to the excitation by migrating to the nodal lines of the plates. The grains thus traced the nodal line pattern. Sophie Germain (1776-1831) derived mathematical equations to describe Chladni's experiments. She published these equations in Memoir on the Vibrations of Elastic Plates. Jules Lissajous (1822-1880) performed further vibration research using Chladni's test methods. THEORY Elastic plates have numerous natural frequencies. The lowest natural frequency is called the fundamental natural frequency. The fundamental frequency is usually the dominant frequency. Each natural frequency has a corresponding "mode." The mode is defined in terms of its nodal line pattern. Each mode has a unique pattern. Points on opposite sides of a nodal line vibrate "180 degrees out-of-phase." Stroking a plate with a violin bow may excite several natural frequencies, thus complicating the experiment. Again, the response will usually be dominated by the fundamental mode. 1 The higher modes can be individually excited, to some extent, by stroking the plate at different edge locations. -
Orbital Shaped Standing Waves Using Chladni Platess
88 Chem. Educator 2020, 25, 88–91 Orbital Shaped Standing Waves Using Chladni Platess Eric Janusson, Johanne Penafiel, Shaun MacLean, Andrew Macdonald, Irina Paci* and J. Scott McIndoe* Department of Chemistry, University of Victoria, P.O. Box 3065 Victoria, BC V8W3V6, Canada, [email protected], [email protected] Received December 3, 2019. Accepted February 5, 2020. Abstract: Chemistry students are often introduced to the concept of atomic orbitals with a representation of a one-dimensional standing wave. The classic example is the harmonic frequencies, which produce standing waves on a guitar string; a concept that is easily replicated in class with a length of rope. From here, students are typically exposed to a more realistic three-dimensional model, which can often be difficult to visualize. Extrapolation from a two-dimensional model, such as the vibrational modes of a drumhead, can be used to convey the standing wave concept to students more easily. We have opted to use Chladni plates, which may be tuned to give a two-dimensional standing wave that serves as a cross-sectional representation of atomic orbitals. The demonstration, intended for first year chemistry students, facilitates the examination of nodal and anti-nodal regions of a Chladni figure that students can connect to the concept of quantum mechanical parameters and their relationship to atomic orbital shape. Introduction orbitals. There exist excellent examples in the literature of two- and three-dimensional visualizations of atomic orbitals, Understanding that an electron in an orbital can be thought making use of custom or proprietary software in order to of as a three-dimensional standing wave is a tough concept to produce plots of atomic and molecular orbitals and wrap one’s head around. -
Analysis of Vibrational Modes of Chemically Modified Tone Wood
University of Northern Iowa UNI ScholarWorks Honors Program Theses Honors Program 2018 Analysis of vibrational modes of chemically modified onet wood Madison Flesch University of Northern Iowa Let us know how access to this document benefits ouy Copyright ©2018 Madison Flesch Follow this and additional works at: https://scholarworks.uni.edu/hpt Part of the Biology and Biomimetic Materials Commons, Chemistry Commons, and the Other Music Commons Recommended Citation Flesch, Madison, "Analysis of vibrational modes of chemically modified onet wood" (2018). Honors Program Theses. 315. https://scholarworks.uni.edu/hpt/315 This Open Access Honors Program Thesis is brought to you for free and open access by the Honors Program at UNI ScholarWorks. It has been accepted for inclusion in Honors Program Theses by an authorized administrator of UNI ScholarWorks. For more information, please contact [email protected]. ANALYSIS OF VIBRATIONAL MODES OF CHEMICALLY MODIFIED TONE WOOD A Thesis Submitted In Partial Fulfillment Of the Requirements for the Designation University Honors Madison Flesch University of Northern Iowa May 2018 This Study by: Madison Flesch Entitled: Analysis of Vibrational Modes of Chemically Modified Tone Wood Has been approved as meeting the thesis or project requirement for the Designation University Honors __________ _______________________________________________________________ Date Dr. Curtiss Hanson, Honors Thesis Advisor __________ _______________________________________________________________ Date Dr. Jessica Moon, Director, University Honors Program Acknowledgements I would like to thank Dr. Curtiss Hanson profusely for all of his guidance, contributions, and time for the duration of this project. I would also like to acknowledge Dr. Joshua Sebree for his time and contribution to this project in the form of graphing many of the data collections taken during this time. -
Front Matter
Cambridge University Press 978-0-521-87185-3 - Arthur Schopenhauer: Parerga and Paralipomena: Short Philosophical Essays: Volume 2 Edited by Adrian Del Caro and Christopher Janaway Frontmatter More information ARTHUR SCHOPENHAUER Parerga and Paralipomena The purpose of the Cambridge Edition of the Works of Schopenhauer is to offer translations of the best modern German editions of Schopenhauer’s work in a uniform format suitable for Schopenhauer scholars, together with philosophical introductions and full editorial apparatus. With the publication of Parerga and Paralipomena in 1851, there finally came some measure of the fame that Schopenhauer thought was his due. Described by Schopenhauer himself as ‘incomparably more popular than everything up till now’, Parerga is a miscellany of essays addressing themes that complement his work The World as Will and Representation, along with more divergent, speculative pieces. It includes essays on method, logic, the intellect, Kant, pantheism, natural science, religion, education, and language. The present volume offers a new translation, a substantial introduction explaining the context of the essays, and extensive editorial notes on the different published versions of the work. This readable and scholarly edition will be an essential reference for those studying Schopenhauer, history of philosophy, and nineteenth-century German philosophy. adrian del caro is Distinguished Professor of Humanities and Head of Modern Foreign Languages and Literatures at the University of Tennessee. He has published many books, including The Early Poetry of Paul Celan: In the beginning was the word (1997) and Grounding the Nietzsche Rhetoric of Earth (2004). He has published numerous articles in journals including Journal of the History of Ideas, Philosophy and Literature, and German Studies Review. -
Christian Gottlob Heyne and the Changing Fortunes of the Commentary in the Age of Altertumswissenschaft
Christian Gottlob Heyne and the changing fortunes of the commentary in the age of Altertumswissenschaft Book or Report Section Accepted Version Harloe, K. (2015) Christian Gottlob Heyne and the changing fortunes of the commentary in the age of Altertumswissenschaft. In: Kraus, C. S. and Stray, C. (eds.) Classical Commentaries: Explorations in a scholarly genre. Oxford University Press, Oxford, pp. 435-456. ISBN 9780199688982 Available at http://centaur.reading.ac.uk/39805/ It is advisable to refer to the publisher’s version if you intend to cite from the work. See Guidance on citing . Publisher: Oxford University Press All outputs in CentAUR are protected by Intellectual Property Rights law, including copyright law. Copyright and IPR is retained by the creators or other copyright holders. Terms and conditions for use of this material are defined in the End User Agreement . www.reading.ac.uk/centaur CentAUR Central Archive at the University of Reading Reading’s research outputs online Christian Gottlob Heyne and the Changing Fortunes of the Commentary in the Age of Altertumswissenschaft Katherine Harloe This chapter seeks to explore issues raised by the major commentaries on Tibullus, Virgil and the Iliad that came from the pen of Christian Gottlob Heyne (1729–1812). For a long time Heyne was neglected within classical scholars’ understanding of their own history, yet in his own age he was something of a European intellectual celebrity, and even at the end of the nineteenth century Friedrich Paulsen could identify him as ‘indisputably the leader in the field of classical studies in Germany during the second half of the eighteenth century’ (1885: 441).