Acta Technica Jaurinensis
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James Clerk Maxwell
James Clerk Maxwell JAMES CLERK MAXWELL Perspectives on his Life and Work Edited by raymond flood mark mccartney and andrew whitaker 3 3 Great Clarendon Street, Oxford, OX2 6DP, United Kingdom Oxford University Press is a department of the University of Oxford. It furthers the University’s objective of excellence in research, scholarship, and education by publishing worldwide. Oxford is a registered trade mark of Oxford University Press in the UK and in certain other countries c Oxford University Press 2014 The moral rights of the authors have been asserted First Edition published in 2014 Impression: 1 All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior permission in writing of Oxford University Press, or as expressly permitted by law, by licence or under terms agreed with the appropriate reprographics rights organization. Enquiries concerning reproduction outside the scope of the above should be sent to the Rights Department, Oxford University Press, at the address above You must not circulate this work in any other form and you must impose this same condition on any acquirer Published in the United States of America by Oxford University Press 198 Madison Avenue, New York, NY 10016, United States of America British Library Cataloguing in Publication Data Data available Library of Congress Control Number: 2013942195 ISBN 978–0–19–966437–5 Printed and bound by CPI Group (UK) Ltd, Croydon, CR0 4YY Links to third party websites are provided by Oxford in good faith and for information only. -
A NONSMOOTH APPROACH for the MODELLING of a MECHANICAL ROTARY DRILLING SYSTEM with FRICTION Samir Adly, Daniel Goeleven
A NONSMOOTH APPROACH FOR THE MODELLING OF A MECHANICAL ROTARY DRILLING SYSTEM WITH FRICTION Samir Adly, Daniel Goeleven To cite this version: Samir Adly, Daniel Goeleven. A NONSMOOTH APPROACH FOR THE MODELLING OF A ME- CHANICAL ROTARY DRILLING SYSTEM WITH FRICTION. Evolution Equations and Control Theory, AIMS, In press, X, 10.3934/xx.xx.xx.xx. hal-02433100 HAL Id: hal-02433100 https://hal.archives-ouvertes.fr/hal-02433100 Submitted on 8 Jan 2020 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Manuscript submitted to doi:10.3934/xx.xx.xx.xx AIMS’ Journals Volume X, Number 0X, XX 200X pp. X–XX A NONSMOOTH APPROACH FOR THE MODELLING OF A MECHANICAL ROTARY DRILLING SYSTEM WITH FRICTION SAMIR ADLY∗ Laboratoire XLIM, Universite´ de Limoges 87060 Limoges, France. DANIEL GOELEVEN Laboratoire PIMENT, Universite´ de La Reunion´ 97400 Saint-Denis, France Dedicated to 70th birthday of Professor Meir Shillor. ABSTRACT. In this paper, we show how the approach of nonsmooth dynamical systems can be used to develop a suitable method for the modelling of a rotary oil drilling system with friction. We study different kinds of frictions and analyse the mathematical properties of the involved dynamical systems. -
Leonardo Da Vinci's Contributions to Tribology
© 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ Published as Wear 360-361 (2016) 51-66 http://dx.doi.org/10.1016/j.wear.2016.04.019 Leonardo da Vinci’s studies of friction Ian M. Hutchings University of Cambridge, Department of Engineering, Institute for Manufacturing, 17 Charles Babbage Road, Cambridge CB3 0FS, UK email: [email protected] Abstract Based on a detailed study of Leonardo da Vinci’s notebooks, this review examines the development of his understanding of the laws of friction and their application. His work on friction originated in studies of the rotational resistance of axles and the mechanics of screw threads. He pursued the topic for more than 20 years, incorporating his empirical knowledge of friction into models for several mechanical systems. Diagrams which have been assumed to represent his experimental apparatus are misleading, but his work was undoubtedly based on experimental measurements and probably largely involved lubricated contacts. Although his work had no influence on the development of the subject over the succeeding centuries, Leonardo da Vinci holds a unique position as a pioneer in tribology. Keywords: sliding friction; rolling friction; history of tribology; Leonardo da Vinci 1. Introduction Although the word ‘tribology’ was first coined almost 450 years after the death of Leonardo da Vinci (1452 – 1519), it is clear that Leonardo was fully familiar with the basic tribological concepts of friction, lubrication and wear. He has been widely credited with the first quantitative investigations of friction, and with the definition of the two fundamental ‘laws’ of friction some two hundred years before they were enunciated (in 1699) by Guillaume Amontons, with whose name they are now usually associated. -
Prices and Profits in Cotton Textiles During the Industrial Revolution C
PRICES AND PROFITS IN COTTON TEXTILES DURING THE INDUSTRIAL REVOLUTION C. Knick Harley PRICES AND PROFITS IN COTTON TEXTILES DURING THE 1 INDUSTRIAL REVOLUTION C. Knick Harley Department of Economics and St. Antony’s College University of Oxford Oxford OX2 6JF UK <[email protected]> Abstract Cotton textile firms led the development of machinery-based industrialization in the Industrial Revolution. This paper presents price and profits data extracted from the accounting records of three cotton firms between the 1770s and the 1820s. The course of prices and profits in cotton textiles illumine the nature of the economic processes at work. Some historians have seen the Industrial Revolution as a Schumpeterian process in which discontinuous technological change created large profits for innovators and succeeding decades were characterized by slow diffusion. Technological secrecy and imperfect capital markets limited expansion of use of the new technology and output expanded as profits were reinvested until eventually the new technology dominated. The evidence here supports a more equilibrium view which the industry expanded rapidly and prices fell in response to technological change. Price and profit evidence indicates that expansion of the industry had led to dramatic price declines by the 1780s and there is no evidence of super profits thereafter. Keywords: Industrial Revolution, cotton textiles, prices, profits. JEL Classification Codes: N63, N83 1 I would like to thank Christine Bies provided able research assistance, participants in the session on cotton textiles for the XII Congress of the International Economic Conference in Madrid, seminars at Cambridge and Oxford and Dr Tim Leung for useful comments. -
1 Classical Theory and Atomistics
1 1 Classical Theory and Atomistics Many research workers have pursued the friction law. Behind the fruitful achievements, we found enormous amounts of efforts by workers in every kind of research field. Friction research has crossed more than 500 years from its beginning to establish the law of friction, and the long story of the scientific historyoffrictionresearchisintroducedhere. 1.1 Law of Friction Coulomb’s friction law1 was established at the end of the eighteenth century [1]. Before that, from the end of the seventeenth century to the middle of the eigh- teenth century, the basis or groundwork for research had already been done by Guillaume Amontons2 [2]. The very first results in the science of friction were found in the notes and experimental sketches of Leonardo da Vinci.3 In his exper- imental notes in 1508 [3], da Vinci evaluated the effects of surface roughness on the friction force for stone and wood, and, for the first time, presented the concept of a coefficient of friction. Coulomb’s friction law is simple and sensible, and we can readily obtain it through modern experimentation. This law is easily verified with current exper- imental techniques, but during the Renaissance era in Italy, it was not easy to carry out experiments with sufficient accuracy to clearly demonstrate the uni- versality of the friction law. For that reason, 300 years of history passed after the beginning of the Italian Renaissance in the fifteenth century before the friction law was established as Coulomb’s law. The progress of industrialization in England between 1750 and 1850, which was later called the Industrial Revolution, brought about a major change in the production activities of human beings in Western society and later on a global scale. -
Redalyc.Guillaume Amontons
Revista CENIC. Ciencias Químicas ISSN: 1015-8553 [email protected] Centro Nacional de Investigaciones Científicas Cuba Wisniak, Jaime Guillaume Amontons Revista CENIC. Ciencias Químicas, vol. 36, núm. 3, 2005, pp. 187-195 Centro Nacional de Investigaciones Científicas La Habana, Cuba Disponible en: http://www.redalyc.org/articulo.oa?id=181620584008 Cómo citar el artículo Número completo Sistema de Información Científica Más información del artículo Red de Revistas Científicas de América Latina, el Caribe, España y Portugal Página de la revista en redalyc.org Proyecto académico sin fines de lucro, desarrollado bajo la iniciativa de acceso abierto Revista CENIC Ciencias Químicas, Vol. 36, No. 3, 2005. Guillaume Amontons Jaime Wisniak. Department of Chemical Engineering, Ben-Gurion University of the Negev, Beer-Sheva, Israel 84105. [email protected] Recibido: 24 de agosto de 2004. Aceptado: 28 de octubre de 2004. Palabras clave: barómetro, termometría, cero absoluto, higrómetro, telégrafo, máquina de combustión externa, fricción en las máquinas. Key words: barometer, thermometry, absolute zero, hygrometer, telegraph, external-combustion machine, friction in machines. RESUMEN. Guillaume Amontons (1663-1705) fue un experimentador que se de- Many instruments had been de- dicó a la mejora de instrumentos usados en física, en particular, el barómetro y el veloped to measure in a gross man- termómetro. Dentro de ellos se destacan, en particular, un barómetro plegable, ner the humidity of air. Almost all un barómetro sin cisterna para usos marítimos, y un higrómetro. Experimentó systems made use of the hygro- con el termómetro de aire e hizo notar que con dicho aparato el máximo frío sería scopic properties of vegetable or aquel que reduciría el resorte (presión) del aire a cero, siendo así, el primero que animal fibers such as hemp, oats, dedujo la presencia de un cero absoluto de temperatura. -
Rubbing and Scrubbing
RUBBING AND SCRUBBING he "rubbing and scrub- Tbing department" was Though simply expressed the laws erf T^SSy, much ooff how David Tabor's friction, friction encapsulate a host OI miCrOSCOplC Leonardo's writing on fric- lubrication and wear labora- and nanoscopic phenomena whose tion did not come to light tory was described by certain until the 1960s, which is whv uncharitable colleagues at elucidation has become one of the most the individual more often as- the Cavendish Laboratory in fascinating pursuits in applied physics. sociated with the laws of fric- Cambridge, England, some tion is Guillaume Amontons, 40 years ago. The tables who independently studied have turned. Tribology, as Georg Hahner and Nicholas Spencer both lubricated and unlubri- Tabor named his discipline cated friction at the end of (from the Greek tribos, the 17th century. meaning "rubbing"), has become respectable—even posi- Amontons's observations on friction, as presented to tively modish—in physics departments worldwide. And the Royal Academy of Sciences in Paris on 19 December Tabor, having become the revered elder statesman of this 1699, were as follows flourishing field, is often accorded a place in reference 1 l> That the resistance caused by rubbing increases of even the most hardcore tribo-physics papers.1 or diminishes only in proportion to greater or lesser Although Tabor brought physics to tribology in the pressure (load) and not according to the greater or 1950s, the origins of the field lie in the engineering lesser extent of the surfaces. sciences and stretch back more than 5000 years to the D> That the resistance caused by rubbing is more neolithic period. -
Industrial Revolution
INDUSTRIAL REVOLUTION: A DOCUMENTARY HISTORY Series One: The Boulton and Watt Archive and the Matthew Boulton Papers from Birmingham Central Library Part 12: Boulton & Watt Correspondence and Papers (MS 3147/3/179) DETAILED LISTING REEL 213 3/249 Peter Ewart, 17901833 (153 items) Peter Ewart had a long association with Boulton & Watt and Boulton Watt & Co. In the 1790s he acted as an agent and engineer for them in Manchester, in much the same way that John Rennie did in London. Ewart later pursued several business ventures in Manchester and Liverpool, mainly in textiles, for which he purchased several engines. He also continued to act as an unofficial agent, liaising with customers on Boulton Watt & Co.’s behalf and passing information to Soho about the state of various firms in the North West. He also had a keen interest in steam boats. 1. Letter. Peter Ewart (Apedale) to James Watt (Harper’s Hill). 10 Oct. 1790. 2. Letter. Peter Ewart (Apedale) to John Southern [Soho]. 24 Nov. 1790. Docketed “Jos. Baker & Co. Sir Nigel Gresley.” 3. Letter. Peter Ewart (Apedale) to John Southern (Soho). 30 Nov. 1790. Docketed “Jos. Baker & Co. Sir Nigel Gresley.” 4. Letter. Peter Ewart (Apedale) to John Southern (Soho). 3 Dec. 1790. Docketed “Jos. Baker & Co. Sir Nigel Gresley.” 5. Letter. Peter Ewart (Raikes, nr. Bolton) to James Watt (Heathfield). 15 Feb. 1791. 6. Letter. Peter Ewart (Raikes, nr. Bolton) to John Southern (Soho). 15 Feb. 1791. Docketed “Bolton.” 7. Letter. Peter Ewart (Raikes, nr. Bolton) to Boulton & Watt (Soho). 16 Feb. 1791. Docketed “About his engagement with B[aker] & Co.” 8. -
Kinetyczno-Molekularnego Modelu Budowy Materii
Roskal Z. E.: Prekursorzy kinetycznej teorii gazów. Zenon E. Roskal Prekursorzy kinetycznej teorii gazów Twórcy kinetycznej teorii gazów są dobrze znani zarówno fizykom jak i filozo- fom przyrody1, ale wiedza na temat prekursorów tej teorii jest na ogół mniej dostępna i równie słabo rozpowszechniona. Według opinii S. Brusha2 kinetyczno-molekularny model budowy materii, a ściślej kinetyczną teorię gazów3, w istotny sposób inicjuje4 dopiero publikacja niemieckiego przyrodnika A. K. Kröniga z 1856. W tym roku mija zatem dokładnie 150 lat od tego wydarzenia5. Praca Kröniga nie pozostała niezauważona w XIX wieku. Powoływał się na nią – obok prac Joule’a i Clausiusa – J. C. Maxwell6. Twórcy kinetyczno-molekularnego mo- 1 W pierwszej kolejności zaliczamy w poczet twórców tej teorii R. Clausiusa (1822-1888) J. C. Maxwella (1831-1879), L. Boltzmanna (1844-1906) i J. W. Gibbsa (1839-1903). Popularne i skrótowe przedstawienie historii kinetycznej teorii gazów można znaleźć m.in. w E. Mendoza, A Sketch for a History of the Kinetic Theory of gases, ,,Physics Today’’ 14 nr 3 (1961): 36-39. 2 Por. S. G. Brush, The development of the kinetic theory of gases: III. Clausius, ,,Annals of Science’’, 14 (1958): 185-196. Na opinię tę powołuje się m.in. E. Daub, Waterston, Rankine, and Clausius on the Kinetic Theory of Gases, ,,Isis’’ 61 nr 1 (1970): 105, ale mylnie podaje, imię niemieckiego fizyka pisząc o Adolfie Krönigu. Tamże, s. 105. 3 W pierwotnym sformułowaniu tej teorii podanym przez J. C. Maxwella była ona nazywana dynamiczna teorią gazów. Taką nazwę zawierał np. tytuł wykładu Maxwella (Illustrations of the Dynamical Theory of Gases) przedstawionego w Aberdeen w 1859 r. -
INDUSTRIAL REVOLUTION: SERIES ONE: the Boulton and Watt Archive, Parts 2 and 3
INDUSTRIAL REVOLUTION: SERIES ONE: The Boulton and Watt Archive, Parts 2 and 3 Publisher's Note - Part - 3 Over 3500 drawings covering some 272 separate engines are brought together in this section devoted to original manuscript plans and diagrams. Watt’s original engine was a single-acting device for producing a reciprocating stroke. It had an efficiency four times that of the atmospheric engine and was used extensively for pumping water at reservoirs, by brine works, breweries, distilleries, and in the metal mines of Cornwall. To begin with it played a relatively small part in the coal industry. In the iron industry these early engines were used to raise water to turn the great wheels which operated the bellows, forge hammers, and rolling mills. Even at this first stage of development it had important effects on output. However, Watt was extremely keen to make improvements on his initial invention. His mind had long been busy with the idea of converting the to and fro action into a rotary movement, capable of turning machinery and this was made possible by a number of devices, including the 'sun-and-planet', a patent for which was taken out in 1781. In the following year came the double-acting, rotative engine, in 1784 the parallel motion engine, and in 1788, a device known as the 'governor', which gave the greater regularity and smoothness of working essential in a prime mover for the more delicate and intricate of industrial processes. The introduction of the rotative engine was a momentous event. By 1800 Boulton and Watt had built and put into operation over 500 engines, a large majority being of the 'sun and planet type'. -
Thermodynamic Temperature
Thermodynamic temperature Thermodynamic temperature is the absolute measure 1 Overview of temperature and is one of the principal parameters of thermodynamics. Temperature is a measure of the random submicroscopic Thermodynamic temperature is defined by the third law motions and vibrations of the particle constituents of of thermodynamics in which the theoretically lowest tem- matter. These motions comprise the internal energy of perature is the null or zero point. At this point, absolute a substance. More specifically, the thermodynamic tem- zero, the particle constituents of matter have minimal perature of any bulk quantity of matter is the measure motion and can become no colder.[1][2] In the quantum- of the average kinetic energy per classical (i.e., non- mechanical description, matter at absolute zero is in its quantum) degree of freedom of its constituent particles. ground state, which is its state of lowest energy. Thermo- “Translational motions” are almost always in the classical dynamic temperature is often also called absolute tem- regime. Translational motions are ordinary, whole-body perature, for two reasons: one, proposed by Kelvin, that movements in three-dimensional space in which particles it does not depend on the properties of a particular mate- move about and exchange energy in collisions. Figure 1 rial; two that it refers to an absolute zero according to the below shows translational motion in gases; Figure 4 be- properties of the ideal gas. low shows translational motion in solids. Thermodynamic temperature’s null point, absolute zero, is the temperature The International System of Units specifies a particular at which the particle constituents of matter are as close as scale for thermodynamic temperature. -
The Gas Laws
HANDOUT SET GENERAL CHEMISTRY I Periodic Table of the Elements 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 IA VIIIA 1 2 1 H He 1.00794 IIA IIIA IVA VA VIA VIIA 4.00262 3 4 5 6 7 8 9 10 2 Li Be B C N O F Ne 6.941 9.0122 10.811 12.011 14.0067 15.9994 18.9984 20.179 11 12 13 14 15 16 17 18 3 Na Mg Al Si P S Cl Ar 22.9898 24.305 26.98154 28.0855 30.97376 32.066 35.453 39.948 IIIB IVB VB VIB VIIB VIIIB IB IIB 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 4 K Ca Sc Ti V Cr Mn Fe Co Ni Cu Zn Ga Ge As Se Br Kr 39.0983 40.078 44.9559 47.88 50.9415 51.9961 54.9380 55.847 58.9332 58.69 63.546 65.39 69.723 72.59 74.9216 78.96 79.904 83.80 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 5 Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn Sb Te I Xe 85.4678 87.62 88.9059 91.224 92.9064 95.94 (98) 101.07 102.9055 106.42 107.8682 112.41 114.82 118.710 121.75 127.60 126.9045 131.29 55 56 57 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 6 Cs Ba La* Hf Ta W Re Os Ir Pt Au Hg Tl Pb Bi Po At Rn 132.9054 137.34 138.91 178.49 180.9479 183.85 186.207 190.2 192.22 195.08 196.9665 200.59 204.383 207.2 208.9804 (209) (210) (222) 87 88 89 104 105 106 107 108 109 110 111 112 7 Fr Ra Ac** Rf Db Sg Bh Hs Mt *** (223) 226.0254 227.0278 (261) (262) (263) (264) (265) (266) (270) (272) (277) *Lanthanides 58 59 60 61 62 63 64 65 66 67 68 69 70 71 Ce Pr Nd Pm Sm Eu Gd Tb Dy Ho Er Tm Yb Lu 140.12 140.9077 144.24 (145) 150.36 151.96 157.25 158.925 162.50 164.930 167.26 168.9342 173.04 174.967 **Actinides 90 91 92 93 94 95 96 97 98 99 100 101 102 103 Th Pa U Np Pu Am Cm Bk Cf Es Fm Md No Lr 232.038 231.0659 238.0289 237.0482 (244) (243) (247) (247) (251) (252) (257) (258) (259) (260) Mass numbers in parenthesis are the mass numbers of the most stable isotopes.