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portada History of Virtual Work Laws: A History of Mechanics Prospective
Type
Physical Book
Author
Publisher
Language
English
Pages
492
Format
Paperback
Dimensions
23.4 x 15.6 x 2.6 cm
Weight
0.70 kg.
ISBN13
9788847039148
Edition No.
1
Categories

History of Virtual Work Laws: A History of Mechanics Prospective

Danilo Capecchi (Author) · Springer · Paperback

History of Virtual Work Laws: A History of Mechanics Prospective - Capecchi, Danilo

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Synopsis "History of Virtual Work Laws: A History of Mechanics Prospective"

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.

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