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- Title
Flexural–torsional vibration of thin-walled beams with open cross sections considering the additional torsional moment.
- Authors
Cai, Yong; Chen, Haijun; Fan, Xiaoyue; Lv, Xiaoyong
- Abstract
This paper proposes a solution for analyzing the flexural–torsional response of a thin-walled beam with an open mono-symmetric cross section and under moving loads induced by a moving mass. The additional torsional moment induced by the variation of the shear center location, lateral forces and rotary inertia are taken into consideration in the governing differential equations of motion. According to the Fourier finite integral transformation, the Laplace–Carson transformations and their inverse transformations, the analytical solutions are acquired for vibrational behaviors of beams. The reliability and advancement of the proposed analytical solutions are confirmed by comparing the analytical results originated from the proposed solution with those calculated by previous solutions in the relative literature. Based on the proposed solutions, an extensive parametric study is conducted to investigate the effect of the influential parameters on dynamic response of thin-walled beams, involving the additional torsional moment, lateral forces, velocities, eccentricities and mass of the moving object. The findings reveal that the additional torsional moment plays an important role in lateral displacements of thin-walled beams, especially for the beams subjected to excitation induced by a heavy mass moving at high velocities. Besides, lateral displacements increase with the rise of the additional torsional moment. It is also suggested that the rise of velocities of a moving mass, lateral forces, or eccentricities result in the growth of lateral displacements of beams.
- Subjects
TORSIONAL vibration; LATERAL loads; EQUATIONS of motion; LIVE loads; FOURIER integrals; DIFFERENTIAL equations
- Publication
Acta Mechanica, 2023, Vol 234, Issue 12, p6341
- ISSN
0001-5970
- Publication type
Article
- DOI
10.1007/s00707-023-03719-8