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Floating and Platform Balances an Introduction
Floating and Platform Balances An introduction ©Darrah Artzner 3/2018 Floating and Platform Balances • Introduce main types • Discuss each in some detail including part identification and function • Testing and Inspecting • Cleaning tips • Lubrication • Performing repairs Balance Assembly Type Floating Platform Floating Balance Frame Spring stud Helicoid spring Hollow Tube Mounting Post Regulator Balance wheel Floating Balance cont. Jewel Roller Pin Paired weight Hollow Tube Safety Roller Pivot Wire Floating Balance cont. Example Retaining Hermle screws Safety Roller Note: moving fork Jewel cover Floating Balance cont. Inspecting and Testing (Balance assembly is removed from movement) • Inspect pivot (suspension) wire for distortion, corrosion, breakage. • Balance should appear to float between frame. Top and bottom distance. • Balance spring should be proportional and not distorted in any way. • Inspect jewels for cracks and or breakage. • Roller pin should be centered when viewed from front. (beat) • Rotate balance wheel three quarters of a turn (270°) and release. It should rotate smoothly with no distortion and should oscillate for several (3) minutes. Otherwise it needs attention. Floating Balance cont. Cleaning • Make sure the main spring has been let down before working on movement. • Use non-aqueous watch cleaner and/or rinse. • Agitate in cleaner/rinse by hand or briefly in ultrasonic. • Rinse twice and final in naphtha, Coleman fuel (or similar) or alcohol. • Allow to dry. (heat can be used with caution – ask me how I would do it.) Lubrication • There are two opinions. To lube or not to lube. • Place a vary small amount of watch oil on to the upper and lower jewel where the pivot wire passed through the jewel holes. -
Pioneers in Optics: Christiaan Huygens
Downloaded from Microscopy Pioneers https://www.cambridge.org/core Pioneers in Optics: Christiaan Huygens Eric Clark From the website Molecular Expressions created by the late Michael Davidson and now maintained by Eric Clark, National Magnetic Field Laboratory, Florida State University, Tallahassee, FL 32306 . IP address: [email protected] 170.106.33.22 Christiaan Huygens reliability and accuracy. The first watch using this principle (1629–1695) was finished in 1675, whereupon it was promptly presented , on Christiaan Huygens was a to his sponsor, King Louis XIV. 29 Sep 2021 at 16:11:10 brilliant Dutch mathematician, In 1681, Huygens returned to Holland where he began physicist, and astronomer who lived to construct optical lenses with extremely large focal lengths, during the seventeenth century, a which were eventually presented to the Royal Society of period sometimes referred to as the London, where they remain today. Continuing along this line Scientific Revolution. Huygens, a of work, Huygens perfected his skills in lens grinding and highly gifted theoretical and experi- subsequently invented the achromatic eyepiece that bears his , subject to the Cambridge Core terms of use, available at mental scientist, is best known name and is still in widespread use today. for his work on the theories of Huygens left Holland in 1689, and ventured to London centrifugal force, the wave theory of where he became acquainted with Sir Isaac Newton and began light, and the pendulum clock. to study Newton’s theories on classical physics. Although it At an early age, Huygens began seems Huygens was duly impressed with Newton’s work, he work in advanced mathematics was still very skeptical about any theory that did not explain by attempting to disprove several theories established by gravitation by mechanical means. -
Differential Geometry
Differential Geometry J.B. Cooper 1995 Inhaltsverzeichnis 1 CURVES AND SURFACES—INFORMAL DISCUSSION 2 1.1 Surfaces ................................ 13 2 CURVES IN THE PLANE 16 3 CURVES IN SPACE 29 4 CONSTRUCTION OF CURVES 35 5 SURFACES IN SPACE 41 6 DIFFERENTIABLEMANIFOLDS 59 6.1 Riemannmanifolds .......................... 69 1 1 CURVES AND SURFACES—INFORMAL DISCUSSION We begin with an informal discussion of curves and surfaces, concentrating on methods of describing them. We shall illustrate these with examples of classical curves and surfaces which, we hope, will give more content to the material of the following chapters. In these, we will bring a more rigorous approach. Curves in R2 are usually specified in one of two ways, the direct or parametric representation and the implicit representation. For example, straight lines have a direct representation as tx + (1 t)y : t R { − ∈ } i.e. as the range of the function φ : t tx + (1 t)y → − (here x and y are distinct points on the line) and an implicit representation: (ξ ,ξ ): aξ + bξ + c =0 { 1 2 1 2 } (where a2 + b2 = 0) as the zero set of the function f(ξ ,ξ )= aξ + bξ c. 1 2 1 2 − Similarly, the unit circle has a direct representation (cos t, sin t): t [0, 2π[ { ∈ } as the range of the function t (cos t, sin t) and an implicit representation x : 2 2 → 2 2 { ξ1 + ξ2 =1 as the set of zeros of the function f(x)= ξ1 + ξ2 1. We see from} these examples that the direct representation− displays the curve as the image of a suitable function from R (or a subset thereof, usually an in- terval) into two dimensional space, R2. -
On the Isochronism of Galilei's Horologium
IFToMM Workshop on History of MMS – Palermo 2013 On the isochronism of Galilei's horologium Francesco Sorge, Marco Cammalleri, Giuseppe Genchi DICGIM, Università di Palermo, [email protected], [email protected], [email protected] Abstract − Measuring the passage of time has always fascinated the humankind throughout the centuries. It is amazing how the general architecture of clocks has remained almost unchanged in practice to date from the Middle Ages. However, the foremost mechanical developments in clock-making date from the seventeenth century, when the discovery of the isochronism laws of pendular motion by Galilei and Huygens permitted a higher degree of accuracy in the time measure. Keywords: Time Measure, Pendulum, Isochronism Brief Survey on the Art of Clock-Making The first elements of temporal and spatial cognition among the primitive societies were associated with the course of natural events. In practice, the starry heaven played the role of the first huge clock of mankind. According to the philosopher Macrobius (4 th century), even the Latin term hora derives, through the Greek word ‘ώρα , from an Egyptian hieroglyph to be pronounced Heru or Horu , which was Latinized into Horus and was the name of the Egyptian deity of the sun and the sky, who was the son of Osiris and was often represented as a hawk, prince of the sky. Later on, the measure of time began to assume a rudimentary technical connotation and to benefit from the use of more or less ingenious devices. Various kinds of clocks developed to relatively high levels of accuracy through the Egyptian, Assyrian, Greek and Roman civilizations. -
Evolute-Involute Partner Curves According to Darboux Frame in the Euclidean 3-Space E3
Fundamentals of Contemporary Mathematical Sciences (2020) 1(2) 63 { 70 Evolute-Involute Partner Curves According to Darboux Frame in the Euclidean 3-space E3 Abdullah Yıldırım 1,∗ Feryat Kaya 2 1 Harran University, Faculty of Arts and Sciences, Department of Mathematics S¸anlıurfa, T¨urkiye 2 S¸ehit Abdulkadir O˘guzAnatolian Imam Hatip High School S¸anlıurfa, T¨urkiye, [email protected] Received: 29 February 2020 Accepted: 29 June 2020 Abstract: In this study, evolute-involute curves are researched. Characterization of evolute-involute curves lying on the surface are examined according to Darboux frame and some curves are obtained. Keywords: Curve, surface, geodesic, curvature, frame. 1. Introduction The interest of special curves has increased recently. Some of these are associated curves. They are curves where one of the Frenet vectors at opposite points is linearly dependent to the other curve. One of the best examples of these curves is the evolute-involute partner curves. An involute thought known to have been used in his optical work came up in 1658 by C. Huygens. C. Huygens discovered involute curves while trying to make more accurate measurement studies [5]. Many researches have been conducted about evolute-involute partner curves. Some of them conducted recently are Bilici and C¸alı¸skan [4], Ozyılmaz¨ and Yılmaz [9], As and Sarıo˘glugil[2]. Bekta¸sand Y¨uceconsider the notion of the involute-evolute curves lying on the surfaces for a special situation. They determine the special involute-evolute partner D−curves in E3: By using the Darboux frame of the curves they obtain the necessary and sufficient conditions between κg , ∗ − ∗ ∗ τg; κn and κn for a curve to be the special involute partner D curve. -
Vleeuwen on Van Call
© 2013 Antiquarian Horological Society. Reproduction prohibited without permission. MARCH 2013 Jan van Call and the age of the pendulum clock in the Netherlands Pier van Leeuwen* The signature of Jan van Call, best known for his work on turret clocks, appears on a controversial wall clock that was the subject of a symposium held at the British Museum in 2011. At this symposium, the author sketched van Call’s documented biographical data against the colourful background of Anglo-Dutch history. This article, a much reduced version of that presentation, focuses on Van Call’s specific achievements and preserved heritage. From Kall to Nijmegen Brabant. The brass drum had twenty-four holes on one Jan van Call was born in Kall in the German Eifel and rule of about 45 cm. On 1 January 1647 Jan Becker moved to Batenburg near Nijmegen in the Dutch duchy Call was granted citizenship in the town of Nijmegen, of Guelders (since 1814 Province of Guelderland). This by which time he must have moved from Batenburg to old capital of the duchy had a rich medieval history, the capital. Amongst other constructional work he renowned among art historians as the birthplace of the produced pumps, drains and waterworks.3 Limburg brethren, court illuminators of at least two Books of Hours for the Duke of Berry. Nijmegen had an Repairing a monumental clock impressive medieval castle known as the Valkhof, once In the year in which he officially became a citizen of inhabited by emperor Charles V who made the old Nijmegen, Jan van Call repaired, for the fee of 280 duchy another part of his Habsburg realm. -
Edward East (1602–C
Valerie J. Finch, Adrian A. Finch, Anthony W. Finch Edward East (1602–c. 1695). Part 1 – Early Stuart period and Commonwealth Antiquarian Horology, Volume 38, No. 3 (September 2017), pp. 343–364 The AHS (Antiquarian Horological Society) is a charity and learned society formed in 1953. It exists to encourage the study of all matters relating to the art and history of time measurement, to foster and disseminate original research, and to encourage the preservation of examples of the horological and allied arts. To achieve its aims the AHS holds meetings and publishes books as well as its quarterly peer-reviewed journal Antiquarian Horology. The journal, printed to the highest standards fully in colour, contains a variety of articles and notes, the society’s programme, news, letters and high-quality advertising (both trade and private). A complete collection of the journals is an invaluable store of horological information, the articles covering diverse subjects including many makers from the famous to the obscure. The entire back catalogue of Antiquarian Horology, every single page published since 1953, is available on-line, fully searchable. It is accessible for AHS members only. For more information visit www.ahsoc.org Volume 38, No. 3 (September 2017) contains the following articles Mechanical clocks and the advent of scientific astronomy by Dietrich Matthes & Rocío Sánchez-Barrios NUMBER THREE VOLUME THIRTY-EIGHT SEPTEMBER 2017 Edward East (1602–c. 1695). Part 1 – Early Stuart period and Commonwealth by Valerie J. Finch, Adrian A. Finch, Anthony W. Finch Galileo, Huygens and the invention of the pendulum clock by Sebastian Whitestone Martin Burgess, sculptural clockmaker by Jonathan Betts The horological legacy of Stanley John Wise by Geoffrey A. -
Evolution of Clock Escapement Mechanisms
Miodrag Stoimenov Associate Professor Evolution of Clock Escapement University of Belgrade Faculty of Mechanical Engineering Mechanisms Branislav Popkonstantinović Associate Professor The paper presents and explains the evolution of details design of the clock University of Belgrade escapement mechanisms through the ages. As particularly significant, the Faculty of Mechanical Engineering following mechanisms are emphasized: the crown wheel (verge & foliot), Ljubomir Miladinović anchor recoil, deadbeat and detached escapements, and their variations – Associate Professor gravity and chronometer escapements, as well as the English and Swiss University of Belgrade lever watch escapements. All important geometrical, kinematical and Faculty of Mechanical Engineering dynamical properties and the influence of these properties on the clock Dragan Petrović accuracy are explained. Associate Professor University of Belgrade Keywords: clock, escapement, evolution, mechanism, lever. Faculty of Mechanical Engineering 1. INTRODUCTION oscillator with the restoring force and standardized pace. The crown wheel rate, acted upon by driving torque, is This work is aimed at a qualitative analysis of regulated only by the foliot inertia with a rather advancement in escapement mechanism structural unpredictable error. When the crown wheel is rotating, definition and development of a timepiece over the past the pallet of the verge is caught by one of the wheel’s seven centuries. This study cowers the following issues teeth, rotating the verge and a solid foliot in one a) the crown wheel, the verge and foliot, b) the recoil direction and leading to engagement of the opposite anchor escapement, c) deadbeat escapements, and d) tooth with the second pallet [4]. Due to the foliot inertia, detached escapements. Measure of the effectiveness in that next tooth stops the wheel’s motion, and the wheel the regulator horological properties could be specified with its eigen driving torque finally stops the rotation of as follows: a) the level of constructive and dynamic the foliot too. -
The Evolution of Tower Clock Movements and Their Design Over the Past 1000 Years
The Evolution Of Tower Clock Movements And Their Design Over The Past 1000 Years Mark Frank Copyright 2013 The Evolution Of Tower Clock Movements And Their Design Over The Past 1000 Years TABLE OF CONTENTS Introduction and General Overview Pre-History ............................................................................................... 1. 10th through 11th Centuries ........................................................................ 2. 12th through 15th Centuries ........................................................................ 4. 16th through 17th Centuries ........................................................................ 5. The catastrophic accident of Big Ben ........................................................ 6. 18th through 19th Centuries ........................................................................ 7. 20th Century .............................................................................................. 9. Tower Clock Frame Styles ................................................................................... 11. Doorframe and Field Gate ......................................................................... 11. Birdcage, End-To-End .............................................................................. 12. Birdcage, Side-By-Side ............................................................................. 12. Strap, Posted ............................................................................................ 13. Chair Frame ............................................................................................. -
Computer-Aided Design and Kinematic Simulation of Huygens's
applied sciences Article Computer-Aided Design and Kinematic Simulation of Huygens’s Pendulum Clock Gloria Del Río-Cidoncha 1, José Ignacio Rojas-Sola 2,* and Francisco Javier González-Cabanes 3 1 Department of Engineering Graphics, University of Seville, 41092 Seville, Spain; [email protected] 2 Department of Engineering Graphics, Design, and Projects, University of Jaen, 23071 Jaen, Spain 3 University of Seville, 41092 Seville, Spain; [email protected] * Correspondence: [email protected]; Tel.: +34-953-212452 Received: 25 November 2019; Accepted: 9 January 2020; Published: 10 January 2020 Abstract: This article presents both the three-dimensional modelling of the isochronous pendulum clock and the simulation of its movement, as designed by the Dutch physicist, mathematician, and astronomer Christiaan Huygens, and published in 1673. This invention was chosen for this research not only due to the major technological advance that it represented as the first reliable meter of time, but also for its historical interest, since this timepiece embodied the theory of pendular movement enunciated by Huygens, which remains in force today. This 3D modelling is based on the information provided in the only plan of assembly found as an illustration in the book Horologium Oscillatorium, whereby each of its pieces has been sized and modelled, its final assembly has been carried out, and its operation has been correctly verified by means of CATIA V5 software. Likewise, the kinematic simulation of the pendulum has been carried out, following the approximation of the string by a simple chain of seven links as a composite pendulum. The results have demonstrated the exactitude of the clock. -
The Unilateral Twin Pivot Grasshopper Escapement
NAWCC Chapter 161 Horological Science Newsletter 2014-1 www.hsn161.com THE UNILATERAL TWIN PIVOT GRASSHOPPER ESCAPEMENT David Heskin. 16th November 2013 All currently known written, illustrated and/or physical evidence attributable to John ‘Longitude’ Harrison (1693-1776) indicates that he invented and constructed three configurations of the grasshopper escapement: (1) The twin pivot. Almost certainly the first grasshopper escapement invented by Harrison and the first to be realised in physical form within his Brocklesby Park tower clock. The entry and exit pallet arms and their paired composers are mounted upon separate pivots, located to either side of the escapement frame arbor (crutch arbor) axis. This configuration could, therefore, be referred to as a ‘bilateral twin pivot’ or ‘BTP’ grasshopper escapement. Recent analysis1 has revealed that the deliberate incorporation of matching entry and exit start of impulse torque arms and matching entry and exit end of impulse torque arms is not only possible and arguably desirable, but is also of invaluable assistance during the geometrical design process. (2) The single pivot 2. Created by Harrison for his early wooden longcase regulators and his final land-based regulator, now commonly referred to as the ‘RAS Regulator’. Optimised in his 1775 manuscript ‘Concerning Such Mechanism…’ (CSM)3 and an untitled escapement illustration, catalogued by the Worshipful Company of Clockmakers as ‘MS3972/3’. The entry and exit pallet arms and both composers share a single pivot, located on the entry side of the escapement frame arbor axis. All realistic single pivot grasshopper escapement geometries unavoidably incorporate mismatched torque arms and asymmetrical entry versus exit impulse. -
A Royal 'Haagseklok'
THE SPLIT (Going and Strike) BARREL (top) p.16 Overview Pendulum Applications. The Going-wheel The Strike-wheel Ratchet-work Stop-work German Origins Hidden Stop Work English Variants WIND-ME MECHANISM? p.19 An "Up-Down" Indicator (Hypothetical Project) OOSTERWIJCK'S UNIQUE BOX CASE p.20 Overview Show Wood Carcass Construction Damage Control Mortised Hinges A Royal 'Haagse Klok' Reviewed by Keith Piggott FIRST ASSESSMENTS p.22 APPENDIX ONE - Technical, Dimensions, Tables with Comparable Coster Trains - (Dr Plomp's 'Chronology' D3 and D8) 25/7/1 0 Contents (Horological Foundation) APPENDIX TWO - Conservation of Unique Case General Conservation Issues - Oosterwijck‟s Kingwood and Ebony Box INTRODUCTION First Impressions. APPENDIX SIX - RH Provenance, Sir John Shaw Bt. Genealogy HUYGENS AUTHORITIES p.1 Collections and Exhibitions Didactic Scholarship PART II. „OSCILLATORIUM‟ p.24 Who was Severijn Oosterwijck? Perspectives, Hypotheses, Open Research GENERAL OBSERVATIONS p.2 The Inspection Author's Foreword - Catalyst and Conundrums Originality 1. Coster‟s Other Contracts? p.24 Unique Features 2. Coster‟s Clockmakers? p.24 Plomp‟s Characteristic Properties 3. Fromanteel Connections? p.25 Comparables 4. „Secreet‟ Constructions? p.25 Unknown Originator : German Antecedents : Application to Galilei's Pendulum : Foreknowledge of Burgi : The Secret Outed? : Derivatives : Whose Secret? PART I. „HOROLOGIUM‟ p.3 5. Personal Associations? p.29 6. The Seconds‟ Hiatus? p.29 The Clock Treffler's Copy : Later Seconds‟ Clocks : Oosterwijck‟s Options. 7. Claims to Priority? p.33 THE VELVET DIALPLATE p.3 8. Valuation? p.34 Overview Signature Plate APPENDIX THREE - Open Research Projects, Significant Makers Chapter Ring User-Access Data Comparable Pendulum Trains, Dimensions.