Decoupling Solution and Verification of Free Vibration Equation of Curved Beam

Li Xingzhao; Li Pengzhou; Sun Lei

doi:10.13832/j.jnpe.2016.S2.0007

Volume 37 Issue S2

Feb. 2025

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Li Xingzhao, Li Pengzhou, Sun Lei. Decoupling Solution and Verification of Free Vibration Equation of Curved Beam[J]. Nuclear Power Engineering, 2016, 37(S2): 7-10. doi: 10.13832/j.jnpe.2016.S2.0007

Citation:

Li Xingzhao, Li Pengzhou, Sun Lei. Decoupling Solution and Verification of Free Vibration Equation of Curved Beam[J]. Nuclear Power Engineering, 2016, 37(S2): 7-10. doi: 10.13832/j.jnpe.2016.S2.0007

Li Xingzhao, Li Pengzhou, Sun Lei. Decoupling Solution and Verification of Free Vibration Equation of Curved Beam[J]. Nuclear Power Engineering, 2016, 37(S2): 7-10. doi: 10.13832/j.jnpe.2016.S2.0007

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Decoupling Solution and Verification of Free Vibration Equation of Curved Beam

doi: 10.13832/j.jnpe.2016.S2.0007

Reactor Engineering Research Institute, Nuclear Power Institute of China, Chengdu, 610213, China

Received Date: 2016-10-09
Rev Recd Date: 2016-11-07

Available Online: 2025-02-15

Publish Date: 2025-02-15

Abstract

Abstract

Based on Euler-Bernoulli beam model, this paper establishes the differential equation of arc-curved beam in the free vibration state, and the decoupling solution is theoretically derived, and verified with FEM method. The results show that the modal frequency results of the theoretic method differ from the ones of FEM method within 2% in the low-frequency area.
- Curved beam,
- Vibration differential equation,
- Decoupling,
- FEM,
- Verification