Does generalized elastica lead to bimodal optimal solutions?

作者：Spasic D T; Glavardanov V B^*

来源：International Journal of Solids and Structures, 2009, 46(14-15): 2939-2949.

DOI：10.1016/j.ijsolstr.2009.03.019

• Generalized elastica
• Optimization
• Clamped-clamped rod

This paper answers the following question. A compressed rod clamped at both ends is assumed to rotate with a constant angular velocity. In the sense of classical Bernoulli-Euler elastica theory, the shape of the lightest rod, stable against buckling, is bimodal (i.e. associated with two buckling modes). What

• 出版日期2009-7