Abstract
At the end of the 19th century, applied (or technical) mechanics, as one of the basics of technical development, found itself a desolate state, due largely to the refusal of its practitioners to recognize the influence of kinetics on (spatial) motion. They had failed to keep up with developments in the science underlying their craft and were unable to keep pace with the speeds of such systems as the steam engine. On the other hand, theoretical (or rational) mechanics was already well established, mainly in conservative astrodynamics. Into this critical situation, two scientists began to build a bridge, from two different sides: August Föppl (1854–1924) and Felix Klein (1849–1925).
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References
d’Alembert, J.: Traité de dynamique, 2nd edn. David, Paris (1758)
du Bois-Reymond, E.: Hermann von Helmholtz: Gedächnisrede (1897). Univ. Bibl. Heidelberg (2014)
Cosserat, E., Cosserat, F.: Théorie des corps déformables. Hermann, Paris (1909)
Euler, L.: Mechanica sive motus scientia analytice exposita (1736). German Translation by J. Ph. Wolfers, vol. 2. C.A. Koch, Greifswald (1848, 1850)
Euler, L.: Découverte d’un nouveau principe de la mécanique (1750). Mém. Acad. Sci. Berlin 6, 185–217 (1752, printed)
Euler, L.: Nova methodus motum corporum rigidorum determinandi (1775). Mém. Acad. Sci. Petropol. 20, 208–238 (1776, printed)
Föppl, A.: Vorlesungen überTechnische Mechanik. B. G. Teubner, Leipzig (1899)
Hamel, G.: Die Lagrange-Eulerschen Gleichungen der Mechanik. ZAMP, 1–57 (1904)
von Helmholtz, H.: Über die Erhaltung der Kraft. Reimers, Berlin (1847)
Heun, K.: Die kinetischen Probleme der wissenschaftlichen Technik. Jahresberichte der DMV, IX, 2 (1900)
Klein, F., Sommerfeld, A.: Theorie des Kreisels. B. G. Teubner, Leipzig (1897)
de Lagrange, J., Correspondance (1755). Reprint: Oeuvres de Lagrange, vol. 14, pp. 146–151 and pp. 152–154. Gauthiers-Villars, Paris (1892). http://gdz.sub.uni-goettingen.de
de Lagrange, J.: Essai d’une nouvelle méthode pour déterminer les maxima et les minima des formules intégrales indéfinies (1760). Reprint: Oeuvres de Lagrange, vol. 1, p. 389. Gauthiers-Villars, Paris (1873). http://gdz.sub.uni-goettingen.de
de Lagrange, J.: Application de la méthode exposée dans le mémoire précédent a la solution de différents poblèmes de dynamique (1760). Reprint: Oeuvres de Lagrange, vol. 1, p. 419. Gauthiers-Villars, Paris (1873). http://gdz.sub.uni-goettingen.de
de Lagrange, J.: Récherches sur la libration de la lune (1764). Reprint: Oeuvres de Lagrange, vol. 6. Gauthiers-Villars, Paris (1873)
de Lagrange, J.L.: Méchanique analytique. Desaint, Paris (1788). German by H. Servus. Springer, Berlin (1897)
Magnus, K.: Mechanik bei B. G. Teubner. B. G. Teubner, Leipzig (1986)
Magnus, K.: Kreisel, Theorie und Anwendungen. Springer, Berlin (1971). https://doi.org/10.1007/978-3-642-52162-1
Pfeiffer, F., Bremer, H. (eds.): The Art of Modeling Mechanical Systems, pp. 100–110. Springer, Heidelberg (2016). https://doi.org/10.1007/978-3-319-40256-7
Truesdell, C.: An Idiot’s Fugitive Essays on Science. Springer, New York (1984). https://doi.org/10.1007/978-1-4613-8185-3
Weingarten, J.: Rezensionen. Archiv d. Math. u. Phys., pp. 342–352 (1901) and pp. 239–243 (1908). B. G. Teubner, Leipzig, Berlin
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Bremer, H. (2018). The 19th-Century Crisis in Engineering. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2017. EUROCAST 2017. Lecture Notes in Computer Science(), vol 10671. Springer, Cham. https://doi.org/10.1007/978-3-319-74718-7_4
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