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Titlebook: History of Virtual Work Laws; A History of Mechani Danilo Capecchi Book 2012 Springer Milan 2012 Fundaments of mechanics.History of mechani

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发表于 2025-3-21 18:02:22 | 显示全部楼层 |阅读模式
书目名称History of Virtual Work Laws
副标题A History of Mechani
编辑Danilo Capecchi
视频video
概述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:
丛书名称Science Networks. Historical Studies
图书封面Titlebook: History of Virtual Work Laws; A History of Mechani Danilo Capecchi Book 2012 Springer Milan 2012 Fundaments of mechanics.History of mechani
描述.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 ver
出版日期Book 2012
关键词Fundaments of mechanics; History of mechanics; Principle of virtual work
版次1
doihttps://doi.org/10.1007/978-88-470-2056-6
isbn_softcover978-88-470-3914-8
isbn_ebook978-88-470-2056-6Series ISSN 1421-6329 Series E-ISSN 2296-6080
issn_series 1421-6329
copyrightSpringer Milan 2012
The information of publication is updating

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发表于 2025-3-22 00:02:03 | 显示全部楼层
The principle of virtual velocities,by the displacement of its application point, named virtual velocity. He offers a number of applications to the various cases including the fluid but does not provide any demonstration. In the final part a comparison of Varignon’s mechanics, based on composition of forces and Bernoulli’s mechanics based on his VWL is considered.
发表于 2025-3-22 03:36:50 | 显示全部楼层
,The debate at the École polytechnique,Ampère is presented. Note the use of purely geometric virtual velocities, following the lead of Lazare Carnot. In the third part the probably less interesting demonstration of Pierre Simon Laplace is reported.
发表于 2025-3-22 07:56:07 | 显示全部楼层
Logic status of virtual work laws, intuitive nature of evidence, possibly established a priori. Currently there is a more liberal view and one does not require evidence of the principles, only that they must have sufficient strength and do not lead to logical contradictions.
发表于 2025-3-22 11:49:17 | 显示全部楼层
发表于 2025-3-22 16:40:18 | 显示全部楼层
Introduction,forces appear together with the motion of their points of application independently of the logical status assumed, be it a theorem, a principle or an empirical law. In this sense the . of virtual work represent a particular historical point of view on mechanics.
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发表于 2025-3-22 22:33:38 | 显示全部楼层
,Lazare Carnot’s mechanics of collision,ulating a generalization of VWL that allows one to evaluate the velocities of a system of hard bodies each of which the initial velocity is known. In the second part his extension to gradually variable forces is presented with the introduction of virtual or real work, named moment of activity, as the fundamental magnitudes of applied mechanics.
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