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1 Portraits Leonhard Euler Daniel Bernoulli Johann-Heinrich Lambert
Portraits Leonhard Euler Daniel Bernoulli Johann-Heinrich Lambert Compiled and translated by Oscar Sheynin Berlin, 2010 Copyright Sheynin 2010 www.sheynin.de ISBN 3-938417-01-3 1 Contents Foreword I. Nicolaus Fuss, Eulogy on Leonhard Euler, 1786. Translated from German II. M. J. A. N. Condorcet, Eulogy on Euler, 1786. Translated from French III. Daniel Bernoulli, Autobiography. Translated from Russian; Latin original received in Petersburg in 1776 IV. M. J. A. N. Condorcet, Eulogy on [Daniel] Bernoulli, 1785. In French. Translated by Daniel II Bernoulli in German, 1787. This translation considers both versions V. R. Wolf, Daniel Bernoulli from Basel, 1700 – 1782, 1860. Translated from German VI. Gleb K. Michajlov, The Life and Work of Daniel Bernoullli, 2005. Translated from German VII. Daniel Bernoulli, List of Contributions, 2002 VIII. J. H. S. Formey, Eulogy on Lambert, 1780. Translated from French IX. R. Wolf, Joh. Heinrich Lambert from Mühlhausen, 1728 – 1777, 1860. Translated from German X. J.-H. Lambert, List of Publications, 1970 XI. Oscar Sheynin, Supplement: Daniel Bernoulli’s Instructions for Meteorological Stations 2 Foreword Along with the main eulogies and biographies [i, ii, iv, v, viii, ix], I have included a recent biography of Daniel Bernoulli [vi], his autobiography [iii], for the first time translated from the Russian translation of the Latin original but regrettably incomplete, and lists of published works by Daniel Bernoulli [vii] and Lambert [x]. The first of these lists is readily available, but there are so many references to the works of these scientists in the main texts, that I had no other reasonable alternative. -
PURA News Purdue University Retirees Association
February 2016 PURA News Purdue University Retirees Association PRF Update Featured at January PURA Monthly Luncheon Brian E. Edelman of the Purdue Research Founda- tion, Inc. (PRF) spoke to members at the January monthly meeting. He is the chief financial officer and treasurer of PRF. The Foundation was estab- lished in 1930 and has a nearly $3 billion endow- ment. Edelman is currently responsible for the areas of finance and investment, real estate transactions and information systems for PRF. He protects Purdue University’s intellectual property and also promotes entrepreneurial activities on behalf of Purdue. Addi- tionally, Edelman oversees the operations of the Chao Center for Industrial Pharmacy and Contract Manufacturing, a pharmaceutical manufacturing fa- Speaker Brian Edelman (right) and PURA host cility based in the PRF Park in West Lafayette. Edel- John Schneider, at the January PURA luncheon. man was formerly vice president of corporate finance and investment banking for Eli Lilly and Co. He earned a degree in economics from Wabash College they are not immediate sources. PRF is making it and an M.S. in finance from the Purdue Krannert easier for corporations and businesses to benefit School of Management. from sponsored research. Edelman stressed when formulating the strategy for An astonishing fact is that Purdue is listed number PRF, the overall criteria must fit with Purdue’s mis- 16 worldwide among universities in patents listed. sion as a land grant university. The mission includes Many ahead of Purdue on the list are entire coun- to, “discover, apply, and engage to improve the econ- tries versus universities. -
New General Principle of Mechanics and Its Application to General Nonideal Nonholonomic Systems
New General Principle of Mechanics and Its Application to General Nonideal Nonholonomic Systems Firdaus E. Udwadia1 Abstract: In this paper we develop a general minimum principle of analytical dynamics that is applicable to nonideal constraints. The new principle encompasses Gauss’s Principle of Least Constraint. We use this principle to obtain the general, explicit, equations of motion for holonomically and/or nonholonomically constrained systems with non-ideal constraints. Examples of a nonholonomically constrained system where the constraints are nonideal, and of a system with sliding friction, are presented. DOI: 10.1061/͑ASCE͒0733-9399͑2005͒131:4͑444͒ CE Database subject headings: Constraints; Equations of motion; Mechanical systems; Friction. Introduction ments. Such systems have, to date, been left outside the perview of the Lagrangian framework. As stated by Goldstein ͑1981, p. The motion of complex mechanical systems is often mathemati- 14͒ “This ͓total work done by forces of constraint equal to zero͔ cally modeled by what we call their equations of motion. Several is no longer true if sliding friction is present, and we must exclude formalisms ͓Lagrange’s equations ͑Lagrange 1787͒, Gibbs– such systems from our ͓Lagrangian͔ formulation.” And Pars Appell equations ͑Gibbs 1879, Appell 1899͒, generalized inverse ͑1979͒ in his treatise on analytical dynamics writes, “There are in equations ͑Udwadia and Kalaba 1992͔͒ have been developed for fact systems for which the principle enunciated ͓D’Alembert’s obtaining the equations of motion for such structural and me- principle͔… does not hold. But such systems will not be consid- chanical systems. Though these formalisms do not all afford the ered in this book.” Newtonian approaches are usually used to deal same ease of use in any given practical situation, they are equiva- with the problem of sliding friction ͑Goldstein 1981͒. -
68° Wednesday’S Frst World-Record PAGE 3 SCATTERED THUNDERSTORMS Wednesday’S Frst World-Record Attempt Was a Success
Thursday, August 16, 2018 VOL. 132 - No. 57 www.purdueexponent.org All Things Purdue New year brings change to bar scene BY RYAN CHEN City Editor As students enter Purdue’s cam- pus to start a new chapter in life, a chapter in Chauncey Hill Mall comes to a close with the previously report- ed closing of Jake’s Roadhouse. “All you had to do to get a free hot dog was say please,” said former Jake’s co-owner Ethan Brown. “We gave out over two million over 21 years!” But now the game has changed with Trinitas Ventures’ announce- ment that Chauncey Mall will be torn down by the end of 2019. “Over the summer when they an- nounced that they were going to tear Chauncey Mall down, it had a really big effect on our business,” Brown said. “I think there’s going to be more retail shops coming which will affect the retail shops already in the area. All in all, it’s a good thing for the area because it’ll bring more people. ... But for the local businesses that are already here it’ll be hard.” The initial social media reaction to reports of Jake’s closure was nega- tive, with one alumna feeling that JULIET JIMENEZ | GRAPHICS EDITOR See JAKE’S | Page 4 PUPD advises ME professor says he was pressured to patience during funk Asian students after investigation move-in week BY RYAN CHEN BY CREIGHTON SUTER he reviewed. What he did fnd aligned with what summer while he was overseas that the investiga- City Editor Staff Writer he would expect from two lab partners. -
Teaching Academy to Add Nine Fellows to Its Ranks
2 - 3 February 12, 2008 Tickets on sale for Big Ten tournaments Teaching Academy to add nine fellows to its ranks Purdue’s Teaching Academy will will present “Functional Memory: the West Lafayette campus, the Liberal Arts, and Venkat Venka- The Big Ten men’s and wom- induct six new fellows and three Implications for Classroom inductees are: tasubrama, professor of chemical en’s basketball tournaments new associate fellows as well as Teaching at Purdue University.” n Four fellows by virtue of engineering. both will be held at Conseco recognize two members at a cer- The Teaching Academy winning a Charles B. Murphy n Three new associate fellows: Fieldhouse in Indianapolis emony on Feb. 26. provides leadership for the im- Outstanding Undergraduate Rebecca Bull, organizational this year. The event will take place in provement of undergraduate, Teaching Award: Patricia Hart, behavior and human resource The women’s tournament the faculty lounges at Purdue graduate and outreach teaching. professor of foreign languages management; Gregory Gibson, is scheduled for March 6-9. Memorial Union. A reception will The academy’s executive council and literatures; Christine Hrycy- sociology; and Kristina Walker, The men’s tournament will be begin at 7 p.m., and the induction selects fellows and associates from na, associate professor of chemis- agronomy. March 13-16. ceremony will follow at 7:30 p.m. nominees. Each year, every college try; Richard Thomas, professor of Robert May, professor of For the women’s tourna- Both are open to Purdue faculty and school can nominate faculty visual and performing arts; and history, and Timothy Newby, ment, both all-session and and staff. -
On Stability Problem of a Top Rendiconti Del Seminario Matematico Della Università Di Padova, Tome 68 (1982), P
RENDICONTI del SEMINARIO MATEMATICO della UNIVERSITÀ DI PADOVA V. V. RUMJANTSEV On stability problem of a top Rendiconti del Seminario Matematico della Università di Padova, tome 68 (1982), p. 119-128 <http://www.numdam.org/item?id=RSMUP_1982__68__119_0> © Rendiconti del Seminario Matematico della Università di Padova, 1982, tous droits réservés. L’accès aux archives de la revue « Rendiconti del Seminario Matematico della Università di Padova » (http://rendiconti.math.unipd.it/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/conditions). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit conte- nir la présente mention de copyright. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http://www.numdam.org/ On Stability Problem of a Top. V. V. RUMJANTSEV (*) This paper deals with the stability of a heavy gyrostate [1] on a horizontal plane. The gyrostate is considered as a rigid body with a rotor rotating freely (without friction) about an axis invariably con- nected with the body leaning on a plane by a convex surface, i.e. the top in a broad sence of this word. For mechanician the top is a symple and principal object of study [2] attracting investigators’ attention. 1. Let $ql be the fixed coordinate system with the origin in some point of a horizontal plane and vertically up directed axis I with unit vector y; OXIX2Xa is the coordinate system rigidly connected with the body with the origin in centre of mass of gyrostate and axis ~3 coincided with one of its principal central axes of inertia. -
83Rd Annual Purdue Christmas Show Indeed ‘A Christmas to Remember’
HIGHLIGHTING: ALL CAMPUS AND COMMUNITY CHORALE | HEART & SOUL | PURDUE BELLS | PURDUE VARSITY GLEE CLUB | PURDUETTES | UNIVERSITY CHOIR A publication from Purdue Musical Yours in Song Organizations 2017 WINTER 83rd Annual Purdue Christmas Show Indeed ‘A Christmas to Remember’ Heart & Soul with Director Rhonda Blacklock A Semester Review, Looking Forward We have had such an amazing start to In October, we welcomed PMO alumni our year and have experienced so much for our annual Homecoming Weekend. during our first semester! This fall, our All of our ensembles performed for and students continued to make Purdue proud interacted with distinguished PMO as ambassadors for the University while alumni from different eras. The free “Fall performing during their busy fall schedule. Show” in November featured outstanding performances by the Purdue Bells, In August, we welcomed new and University Choir, Heart & Soul and the All- returning students in the Purduettes Campus and Community Chorale at the and Purdue Varsity Glee Club back to Long Center in downtown Lafayette. campus for our pre-season camp at Camp Tecumseh in Brookston, Ind. Once classes The semester culminated with our began, both ensembles performed free pinnacle performance of the year: the concerts on campus—the Glee Club’s 83rd annual Purdue Christmas Show! annual “First Nighter” concert in Elliott This year, “A Christmas to Remember” William E. Griffel, Director, Purdue Musical Organizations and Purdue Varsity Glee Club Hall of Music, and the “Picnic with the provided stunning performances from Purduettes” performance on Slayter all of our ensembles, culminating in the alumni activities and a celebration gala. Hill. -
On the Foundations of Analytical Dynamics F.E
International Journal of Non-Linear Mechanics 37 (2002) 1079–1090 On the foundations of analytical dynamics F.E. Udwadiaa; ∗, R.E. Kalabab aAerospace and Mechanical Engineering, Civil Engineering, Mathematics, and Information and Operations Management, 430K Olin Hall, University of Southern California, Los Angeles, CA 90089-1453, USA bBiomedical Engineering and Economics, University of Southern California, Los Angeles, CA 90089, USA Abstract In this paper, we present the general structure for the explicit equations of motion for general mechanical systems subjected to holonomic and non-holonomic equality constraints. The constraints considered here need not satisfy D’Alembert’s principle, and our derivation is not based on the principle of virtual work. Therefore, the equations obtained here have general applicability. They show that in the presence of such constraints, the constraint force acting on the systemcan always be viewed as madeup of the sumof two components.The explicit formfor each of the two components is provided. The ÿrst of these components is the constraint force that would have existed, were all the constraints ideal; the second is caused by the non-ideal nature of the constraints, and though it needs speciÿcation by the mechanician and depends on the particular situation at hand, this component nonetheless has a speciÿc form. The paper also provides a generalized formof D’Alembert’sprinciple which is then used to obtain the explicit equations of motion for constrained mechanical systems where the constraints may be non-ideal. We show an example where the new general, explicit equations of motion obtained in this paper are used to directly write the equations of motion for describing a non-holonomically constrained system with non-ideal constraints. -
Still on the Road Venue Index 1956 – 2016
STILL ON THE ROAD VENUE INDEX 1956 – 2016 STILL ON THE ROAD VENUE INDEX 1956-2016 2 Top Ten Concert Venues 1. Fox Warfield Theatre, San Francisco, California 28 2. The Beacon Theatre, New York City, New York 24 3. Madison Square Garden, New York City, New York 20 4. Nippon Budokan Hall, Tokyo, Japan 15 5. Hammersmith Odeon, London, England 14 Royal Albert Hall, London, England 14 Vorst Nationaal, Brussels, Belgium 14 6. Earls Court, London, England 12 Jones Beach Theater, Jones Beach State Park, Wantagh, New York 12 The Pantages Theater, Hollywood, Los Angeles, California 12 Wembley Arena, London, England 12 Top Ten Studios 1. Studio A, Columbia Recording Studios, New York City, New York 27 2. Studio A, Power Station, New York City, New York 26 3. Rundown Studios, Santa Monica, California 25 4. Columbia Music Row Studios, Nashville, Tennessee 16 5. Studio E, Columbia Recording Studios, New York City, New York 14 6. Cherokee Studio, Hollywood, Los Angeles, California 13 Columbia Studio A, Nashville, Tennessee 13 7. Witmark Studio, New York City, New York 12 8. Muscle Shoals Sound Studio, Sheffield, Alabama 11 Skyline Recording Studios, Topanga Park, California 11 The Studio, New Orleans, Louisiana 11 Number of different names in this index: 2222 10 February 2017 STILL ON THE ROAD VENUE INDEX 1956-2016 3 1st Bank Center, Broomfield, Colorado 2012 (2) 34490 34500 30th Street Studio, Columbia Recording Studios, New York City, New York 1964 (1) 00775 40-acre North Forty Field, Fort Worth Stockyards, Fort Worth, Texas 2005 (1) 27470 75th Street, -
Recent Advances in Multi-Body Dynamics and Nonlinear Control
Recent Advances in Multi-body Dynamics and Nonlinear Control Recent Advances in Multi-body Firdaus E. Udwadia Dynamics and Nonlinear Control Aerospace and Mechanical Engineering This paper presents some recent advances in the dynamics and control of constrained Civil Engineering,, Mathematics multi-body systems. The constraints considered need not satisfy D’Alembert’s principle Systems Architecture Engineering and therefore the results are of general applicability. They show that in the presence of and Information and Operations Management constraints, the constraint force acting on the multi-body system can always be viewed as University of Southern California, Los Angeles made up of the sum of two components whose explicit form is provided. The first of these CA 90089-1453 components consists of the constraint force that would have existed were all the [email protected] constraints ideal; the second is caused by the non-ideal nature of the constraints, and though it needs specification by the mechanician who is modeling the specific system at hand, it nonetheless has a specific form. The general equations of motion obtained herein provide new insights into the simplicity with which Nature seems to operate. They are shown to provide new and exact methods for the tracking control of highly nonlinear mechanical and structural systems without recourse to the usual and approximate methods of linearization that are commonly in use. Keywords : Constrained motion, multi-body dynamics, explicit equations of motion, exact tracking control of nonlinear systems In this paper we extend these results along two directions. First, Introduction we extend D’Alembert’s Principle to include constraints that may be, in general, non-ideal so that the forces of constraint may The general problem of obtaining the equations of motion of a therefore do positive, negative, or zero work under virtual constrained discrete mechanical system is one of the central issues displacements at any given instant of time during the motion of the in multi-body dynamics. -
Explicit Equations of Motion for Constrained
Explicit equations of motion for constrained mechanical systems with singular mass matrices and applications to multi-body dynamics Firdaus Udwadia, Phailaung Phohomsiri To cite this version: Firdaus Udwadia, Phailaung Phohomsiri. Explicit equations of motion for constrained mechanical systems with singular mass matrices and applications to multi-body dynamics. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Royal Society, The, 2006, 462 (2071), pp.2097 - 2117. 10.1098/rspa.2006.1662. hal-01395968 HAL Id: hal-01395968 https://hal.archives-ouvertes.fr/hal-01395968 Submitted on 13 Nov 2016 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. Distributed under a Creative Commons Attribution| 4.0 International License Explicit equations of motion for constrained mechanical systems with singular mass matrices and applications to multi-body dynamics 1 2 FIRDAUS E. UDWADIA AND PHAILAUNG PHOHOMSIRI 1Civil Engineering, Aerospace and Mechanical Engineering, Mathematics, and Information and Operations Management, and 2Aerospace and Mechanical Engineering, University of Southern California, Los Angeles, CA 90089, USA We present the new, general, explicit form of the equations of motion for constrained mechanical systems applicable to systems with singular mass matrices. The systems may have holonomic and/or non holonomic constraints, which may or may not satisfy D’Alembert’s principle at each instant of time. -
The Purdue Concert Guide
THE PURDUE CONCERT GUIDE Booking a concert for your student organization is a big commitment in time and resources. It is important to understand the costs related to this activity and the procedures that Purdue requires in order to put on a successful event. This manual is meant to help guide you through planning and executing your event. IMPORTANT NOTE: All Student Activities Organization (SAO) and Business Office Student Organizations (BOSO) policies including budget preparation, contract negotiations, and overall event approval must be followed by the student organization. (HINT: words in bold italics throughout this document are defined in the Glossary) WHAT TO KNOW BEFORE YOU BEGIN: TIMELINE: *see timeline template (live link) It is best to give yourself ample time to plan your event. Four months is ideal, at least one semester of advance planning is suggested by SAO and BOSO for concerts to which admission will be charged, and an Activity Form must be submitted at least 90 days prior to your proposed event. Planning a timeline for your event is an important element of your overall event coordination. The timeline lists the deadlines for each event need and who is expected to accomplish them. The timeline will not only help your organization know where you are in the planning process, but it can also help student organization advisors, financial advisors and venue personnel know how you are progressing on your project. There are several large planning elements that will need greater detail within your overall schedule: (1) booking and contract negotiation, (2) budget preparation, (3) marketing planning and strategy, (4) catering plans, and (5) day of show schedule/show sheet.