TY - JOUR AU - Trung, Tran Duc AU - Le, Bui Hai AU - Huong, Cao Quoc PY - 2012/06/26 Y2 - 2024/03/29 TI - ANALYZING AND OPTIMIZING OF A PFLUGER COLUMN JF - Vietnam Journal of Science and Technology JA - Vietnam J. Sci. Technol. VL - 48 IS - 5 SE - Articles DO - 10.15625/0866-708X/48/5/1184 UR - https://vjs.ac.vn/index.php/jst/article/view/1184 SP - AB - <p>ABSTRACT</p><p>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 <br />for a single second order nonlinear differential equation. The results of the analysis problem are <br />obtained by Spectral method. Necessary conditions for the maximum value of the first <br />eigenvalue corresponding to given column volume areestablished to determine the optimal <br />distribution of cross-sectional area along the column axis. <br />Keywords: optimal shape; Pontryagin’s maximum principle.</p> ER -