Free Vibration Analysis of Thin-Walled Box Beam of  Crane Considering Distortion

TAN Minyao; CHENG Wenming; LI Hangfei; ZANG Fulian

doi:10.3969/j.issn.0258-2724.20200613

Volume 57 Issue 5

Oct. 2022

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Journal of Southwest Jiaotong University > 2022 > 57(5): 1040-1046.

TAN Minyao, CHENG Wenming, LI Hangfei, ZANG Fulian. Free Vibration Analysis of Thin-Walled Box Beam of Crane Considering Distortion[J]. Journal of Southwest Jiaotong University, 2022, 57(5): 1040-1046. doi: 10.3969/j.issn.0258-2724.20200613

Citation:

TAN Minyao, CHENG Wenming, LI Hangfei, ZANG Fulian. Free Vibration Analysis of Thin-Walled Box Beam of Crane Considering Distortion[J]. Journal of Southwest Jiaotong University, 2022, 57(5): 1040-1046. doi: 10.3969/j.issn.0258-2724.20200613

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Free Vibration Analysis of Thin-Walled Box Beam of Crane Considering Distortion

doi: 10.3969/j.issn.0258-2724.20200613

School of Mechatronics Engineering, Southwest Jiaotong University, Chengdu 610031, China

Received Date: 09 Sep 2020
Rev Recd Date: 30 Oct 2020

Available Online: 09 Aug 2022

Publish Date: 04 Nov 2020

Abstract

Abstract

In order to improve the calculation accuracy of the natural frequency of thin-walled box beams, the dynamic characteristics of thin-walled box beams are analyzed using the generalized coordinate principle. Firstly, the free vibration differential equations of five highly coupled modes (i.e., extension, bending, torsion, warping and distortion) are obtained by the virtual work principle and considering the influence of the distortion deformation. Secondly, considering the influence of the rotational inertial motion term, the kinematics model under the simply supported boundary condition is established. The fourth order algebraic equation of free vibration of the thin-walled box beam and the exact solution of the natural frequency are obtained. Finally, a numerical example is provided to compare the exact solution of natural frequency considering distortion with the results of Prokić theory and finite element analysis, so that the effectiveness and accuracy of present method are verified. The results show that when taking the distortion effect into consideration, the natural frequency of free vibration of the thin-walled box beam can be more accurately reflected in high-order modes. Comparison of natural frequencies at four orders of the free vibration indicates that when the length of the box girder is 3 m, the relative error of the present theory was reduced to 0.38% from Prokić’s 0.42%; when the length of the box girder is 4 and 5 m, the relative error can be further reduced to 0.30% and 0.40%, respectively.
- bending,
- torsion,
- distortion,
- thin-walled box beam,
- free vibration

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References(22)

References

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