<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, the issue of shape optimization of a column subjected to the generalized load with a force directed towards the positive pole (L. Tomski’s load, specific load) was considered. Based on the Hamilton’s principle, the differential equations of movement and boundary conditions describing the system were formulated. Taking into account a kinetic criterion of stability loss and a condition of constant total volume, the scope of changes in natural frequency as a function of an external load was determined with selected geometrical and physical parameters of the loading structure. On the basis of obtained results, values of geometrical parameters of individual column segments were determined, at which the maximum critical load value was obtained. In order to find the maximum critical force, which is a function of many variables, the simulated annealing algorithm was used.</p></abstract>

In this paper, the issue of shape optimization of a column subjected to the generalized load with a force directed towards the positive pole (L. Tomski’s load, specific load) was considered. Based on the Hamilton’s principle, the differential equations of movement and boundary conditions describing the system were formulated. Taking into account a kinetic criterion of stability loss and a condition of constant total volume, the scope of changes in natural frequency as a function of an external load was determined with selected geometrical and physical parameters of the loading structure. On the basis of obtained results, values of geometrical parameters of individual column segments were determined, at which the maximum critical load value was obtained. In order to find the maximum critical force, which is a function of many variables, the simulated annealing algorithm was used.

Shape Optimization of a Column under Generalized Load with a Force Directed towards Positive Pole

Conference Quality Production Improvement – CQPI

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper, the issue of shape optimization of a column subjected to the generalized load with a force directed towards the positive pole (L. Tomski’s load,...

Shape Optimization of a Column under Generalized Load with a Force Directed towards Positive Pole

Publié en ligne: 08 oct. 2019

Pages: 326 - 333

Reçu: 25 mars 2019

Accepté: 24 mai 2019

DOI: https://doi.org/10.2478/cqpi-2019-0044

Mots clés
shape optimization, stability, free vibrations

© 2019 Janusz Szmidla et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Shape Optimization of a Column under Generalized Load with a Force Directed towards Positive Pole

Publié en ligne: 08 oct. 2019

Pages: 326 - 333

Reçu: 25 mars 2019

Accepté: 24 mai 2019

DOI: https://doi.org/10.2478/cqpi-2019-0044

Mots clésshape optimization, stability, free vibrations

© 2019 Janusz Szmidla et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
shape optimization, stability, free vibrations