ANALYZING AND OPTIMIZING OF A PFLUGER COLUMN

Tran Duc Trung, Bui Hai Le, Cao Quoc Cuong

Abstract


ABSTRACT

The optimal shape of a Pfluger column is determined  by using Pontryagin’s maximum principle (PMP). The governing equation of the problem is reduced to a boundary-value problem
for a single second order nonlinear differential equation. The results of the analysis problem are
obtained by Spectral method. Necessary conditions for the maximum value of the first
eigenvalue corresponding to given column volume areestablished to determine the optimal
distribution of cross-sectional area along the column axis.
Keywords: optimal shape; Pontryagin’s maximum principle.


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DOI: https://doi.org/10.15625/0866-708X/48/5/1184 Display counter: Abstract : 30 views. PDF : 26 views.

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Published by Vietnam Academy of Science and Technology