Abstract
The sensitivity analysis of natural frequencies of torsional vibration of thin-walled I-beams resting on a Winkler-type elastic foundation and subjected to axial static loads is discussed. The first-order variation of the frequencies due to the design variable variations is derived. The cross-s̀ection dimensions, the beam material constants and the foundation stiffness are assumed to be the design variables. The considerations are based on the theory of thin-walled beams with nondeformable cross-section. The underintegral sensitivity coefficients of the flange width and the foundation stiffness variations for a simply supported I-beam are determined. An accuracy of approximation of the natural frequencies changes due to the design variable change, by means of their first-order variations, is also investigated.
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