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An enhanced dynamic equation for Timoshenko beams based on the Reissner energy function and its application to axial force identification
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Xin GUO1, Da WEI3, Ya-dong YAO1, 2, Dong-sheng LI4
Journal of Vibration Engineering | 2024, 37(10) : 1723 - 1730
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Journal of Vibration Engineering | 2024, 37(10): 1723-1730
An enhanced dynamic equation for Timoshenko beams based on the Reissner energy function and its application to axial force identification
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Xin GUO1, Da WEI3, Ya-dong YAO1, 2, Dong-sheng LI4
Affiliations
  • 1Transportation Institute of Inner Mongolia University，Hohhot 010070，China
  • 2Inner Mongolia Engineering Research Center of Testing and Strengthening for Bridges，Inner Mongolia University，Hohhot 010070，China
  • 3State Key Laboratory of Coastal and Offshore Engineering，Dalian University of Technology，Dalian 116024，China
  • 4Guangdong Engineering Center for Structure Safety and Health Monitoring，Shantou University， Shantou 515063，China
Published: 2024-10-28 doi: 10.16385/j.cnki.issn.1004-4523.2024.10.010
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The dynamic method for identifying axial force is grounded in vibration theory，making the vibration equation of a bar member crucial for accurate axial force estimation. Traditionally，the Timoshenko beam is derived from the equilibrium of transverse forces and moments. In this paper，an energy-based approach is applied to derive a new vibration equation for the Timoshenko beam under axial loading. The Ressiner energy equation for a Timoshenko beam，incorporating displacement，stress and axial force，is established using a condensation hypothesis from an energy perspective. The motion equation and stress equilibrium are calculated using the extremum principle，leading to a new free vibration equation for the Timoshenko beam under axial force. Compared to classical textbooks，the proposed dynamics equation includes two additional terms related to axial forces and shear effects. The new equation is validated through numerical simulations and laboratory experiments to identify the axial force in bar members. The results demonstrate that the proposed equation significantly improves the accuracy of axial force identification，confirming its correctness and applicability.

Timoshenko beam  /  free vibration  /  modal analysis  /  axial force identification
Xin GUO, Da WEI, Ya-dong YAO, Dong-sheng LI. An enhanced dynamic equation for Timoshenko beams based on the Reissner energy function and its application to axial force identification[J]. Journal of Vibration Engineering, 2024 , 37 (10) : 1723 -1730 . DOI: 10.16385/j.cnki.issn.1004-4523.2024.10.010
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Article Info
doi: 10.16385/j.cnki.issn.1004-4523.2024.10.010
  • Receive Date：2022-11-21
  • Online Date：2026-02-12
  • Published：2024-10-28
Article Data
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History
  • Received：2022-11-21
  • Revised：2023-03-01
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Affiliations
    1Transportation Institute of Inner Mongolia University，Hohhot 010070，China
    2Inner Mongolia Engineering Research Center of Testing and Strengthening for Bridges，Inner Mongolia University，Hohhot 010070，China
    3State Key Laboratory of Coastal and Offshore Engineering，Dalian University of Technology，Dalian 116024，China
    4Guangdong Engineering Center for Structure Safety and Health Monitoring，Shantou University， Shantou 515063，China
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光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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