Abstract
This chapter is devoted to VWLs as presented in the main treatises of mechanics where a reductionist approach is assumed. In the first part, the treatises of Siméon Denis Poisson and Jean Marie Constant Duhamel are presented. In the second part the approach of Jean Marie Gustav Gaspard Coriolis is presented. To point out the introduction of modern term virtual work, the introduction of the problems associated with friction and finally the change in the ontological status of virtual work. From simple mathematical to physical magnitude.
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Notes
- 1.
p. 660.
- 2.
p. 664.
- 3.
pp. 670–672.
- 4.
pp. VI-VII.
- 5.
The date is wrong, it should be 1715.
- 6.
p. 267.
- 7.
pp. 170–174.
- 8.
p. 193.
- 9.
pp. 2–3.
- 10.
p. 17.
- 11.
p. IX.
- 12.
p. IX.
- 13.
p. 577.
- 14.
p. 20.
- 15.
p. 94.
- 16.
Note that Coriolis is defining, as today, work as a product of displacement and the component of force in the direction of motion and not of the force and the component of displacement in the direction of the force, as was the tradition and the way he will define it later.
- 17.
p. 95.
- 18.
p. 97.
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pp. 114–115.
- 20.
There is something unclear in Coriolis’ text. He declares that F is the tangential component of the forces exchanged among the molecules. But in this case F and δ f would be parallel each other and then cos \( \left(\widehat{F\delta f}\right)=1. \) I assume Coriolis got confused and attributed to F the meaning of whole force.
- 21.
p. 115.
- 22.
p. 116.
- 23.
p. 116.
- 24.
p. 117
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© 2012 Springer-Verlag Italia
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Capecchi, D. (2012). The treatises of mechanics. In: History of Virtual Work Laws. Science Networks. Historical Studies, vol 42. Springer, Milano. https://doi.org/10.1007/978-88-470-2056-6_16
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DOI: https://doi.org/10.1007/978-88-470-2056-6_16
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