Establishment of differential equation of in-plane free vibration of curved beams under MOI and shear deformation

ZHANG Zhichao; SONG Yumin

Volume 35 Issue 4

Feb. 2022

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Article Navigation > Journal of Shanghai University of Engineering Science > 2021 > 35(4): 389-394

ZHANG Zhichao, SONG Yumin. Establishment of differential equation of in-plane free vibration of curved beams under MOI and shear deformation[J]. Journal of Shanghai University of Engineering Science, 2021, 35(4): 389-394.

Citation:

ZHANG Zhichao, SONG Yumin. Establishment of differential equation of in-plane free vibration of curved beams under MOI and shear deformation[J]. Journal of Shanghai University of Engineering Science, 2021, 35(4): 389-394.

Citation:

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Establishment of differential equation of in-plane free vibration of curved beams under MOI and shear deformation

ZHANG Zhichao,
SONG Yumin^,

School of Urban Rail Transportation, Shanghai University of Engineering Science, Shanghai 201620, China

Received Date: 2021-05-23
Publish Date: 2022-02-23

Abstract

Abstract

The derivation and establishment of vibration differential equation are the key to the structural dynamic analysis. The moment of inertia (MOI) and shear deformation were taken into account, the differential equations of in-plane free vibration about lateral bending and axial deformation of curved beams were derived and established by combining geometric equations and the internal force equilibrium according to the theory of Timoshenko beam. The research results can provide a theoretical basis for dynamic study on the curved beams.
- curved beams,
- moment of inertia (MOI),
- shear deformation,
- vibration differential equation,
- Timoshenko beam

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References(8)

References

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