Columns under Conservative Forces
Leonard Euler (1707–1783) was arguably the foremost mathematical scientist of the 18th century. Euler and Daniel Bernoulli established the basic theory of beams and columns. The structural stability of columns under a compressive (conservative) force was first studied by Euler in 1744 [1, 2]. This chapter discusses columns from the viewpoint of dynamic stability.
- 1.Timoshenko, S. P. (1953). History of strength of materials. New York: McGraw-Hill. (1983, Dover Publications, Inc. New York).Google Scholar
- 2.Timoshenko, S. P., & Gere J. M. (1961). Theory of elastic stability. New York: McGraw-Hill. (2009, Dover Publications, Inc., New York)Google Scholar
- 4.Sugiyama, Y., Fujiwara, N., & Sekiya, T. (1969). Studies on nonconservative problems of instability of columns by means of analog computer. In Proceedings of the 18th Japan National Congress for Applied Mechanics, 1968 (pp. 113–126). Tokyo: The University of Tokyo Press.Google Scholar