000 03354nam a22004695i 4500
001 978-88-470-2056-6
003 DE-He213
005 20140220083335.0
007 cr nn 008mamaa
008 120510s2012 it | s |||| 0|eng d
020 _a9788847020566
_9978-88-470-2056-6
024 7 _a10.1007/978-88-470-2056-6
_2doi
050 4 _aTJ1-1570
072 7 _aTGB
_2bicssc
072 7 _aTEC009070
_2bisacsh
082 0 4 _a621
_223
100 1 _aCapecchi, Danilo.
_eauthor.
245 1 0 _aHistory of Virtual Work Laws
_h[electronic resource] :
_bA History of Mechanics Prospective /
_cby Danilo Capecchi.
264 1 _aMilano :
_bSpringer Milan :
_bImprint: Springer,
_c2012.
300 _aXII, 492 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aScience Networks. Historical Studies ;
_v42
505 0 _aLogic status of virtual work laws -- Greek origins -- Arabic and Latin science of weights -- Italian Renaissance statics -- Torricelli’s principle -- European statics during the XVI and XVII centuries -- The principle of virtual velocities -- The Jesuit school of the XVIII century -- Lagrange’s contribution -- Lazare Carnot’s mechanics of collision -- The debate in Italy -- The debate at the Ecole polytechnique -- Poinsot’s criticism -- The treatises of mechanics -- Virtual work laws and continuum mechanics -- Thermodynamical approach.
520 _a 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.
650 0 _aEngineering.
650 0 _aScience
_xHistory.
650 0 _aMechanical engineering.
650 1 4 _aEngineering.
650 2 4 _aMechanical Engineering.
650 2 4 _aMathematical Physics.
650 2 4 _aHistory of Science.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9788847020559
830 0 _aScience Networks. Historical Studies ;
_v42
856 4 0 _uhttp://dx.doi.org/10.1007/978-88-470-2056-6
912 _aZDB-2-ENG
999 _c104099
_d104099