Variational Principles for Elastic Rods and Columns
estimate the critical (buckling) load of a column,
determine post critical shape of the column using Ritz method,
determine the optimal shape of the column, that is, the shape of the column having smallest volume and being stable against buckling. This constitutes the so-called Lagrange problem formulated in 1773 (see , ).
KeywordsVariational Principle Optimal Shape Ritz Method Pontryagin Maximum Principle Constant Cross Section
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