Authors:
- It gives a particular view of mechanics
- It is one of the few books focused on fundaments of western mechanics
- The book is vey rich of original quotations
- Includes supplementary material: sn.pub/extras
Part of the book series: Science Networks. Historical Studies (SNHS, volume 42)
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Table of contents (18 chapters)
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Front Matter
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Back Matter
About this book
The book presents a history of classical mechanics by focusing on issues of equilibrium. The historical point of view adopted here restricts attention to cases where the effectiveness of forces is assessed on the basis of the virtual motion of their points of application. For completeness, hints of the alternative approach are also referred, the Archimedean for ancient mechanics and the Newtonian for modern mechanics. The laws resulting from consideration of virtual motions are named laws of virtual work. The modern formulations of the principle of virtual work are only a particular form of them.
The book begins with the first documented formulations of laws of virtual work in the IV century BC in Greece and proceeds to the end of the XIX century AD in Europe. A significant space is devoted to Arabic and Latin mechanics of Middle Ages. With the Renaissance it began to appear slightly different wordings of the laws, which were often proposed as unique principles of statics. The process reached its apex with Bernoulli and Lagrange in the XVIII century. The book ends with some chapters dealing with the discussions that took place in the French school on the role of the Lagrangian version of the law of virtual work and its applications to continuum mechanics.
Reviews
From the reviews:
“The book under review is a survey work that covers the whole span of history from antiquity to the middle of the nineteenth century … . a substantial contribution to the history of physical science and will become a standard reference source for the history of mechanics. … Throughout the book there are quotations and passages from primary sources, translated into English. … The bibliography contains extensive references to the secondary literature … .” (Craig G. Fraser, Mathematical Reviews, June, 2013)Authors and Affiliations
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Università La Sapienza, Rome, Italy
Danilo Capecchi
About the author
Danilo Capecchi is full professor of mechanics of solids and of history of science at the University of Rome La Sapienza (Italy). His researches in the history of science mainly concern classical mechanics.
Bibliographic Information
Book Title: History of Virtual Work Laws
Book Subtitle: A History of Mechanics Prospective
Authors: Danilo Capecchi
Series Title: Science Networks. Historical Studies
DOI: https://doi.org/10.1007/978-88-470-2056-6
Publisher: Springer Milano
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Milan 2012
Hardcover ISBN: 978-88-470-2055-9Published: 02 March 2012
Softcover ISBN: 978-88-470-3914-8Published: 23 August 2016
eBook ISBN: 978-88-470-2056-6Published: 11 May 2012
Series ISSN: 1421-6329
Series E-ISSN: 2296-6080
Edition Number: 1
Number of Pages: XII, 492
Topics: Mechanical Engineering, Mathematical Physics, History of Science