Out-of-Plane Free Vibration and Forced Harmonic Response of a Curved Beam

Joint Authors

Xu, Tiantian
Mao, Hancheng
Yu, Guangbin
Liu, Wei

Source

Shock and Vibration

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-14, 14 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-12-30

Country of Publication

Egypt

No. of Pages

14

Main Subjects

Civil Engineering

Abstract EN

Based on the governing differential equation of out-of-plane curved beam, the wave propagation behavior, free vibration, and transmission properties are presented theoretically in this paper.

Firstly, harmonic wave solutions are given to investigate the dispersion relation between frequency and wave number, cut-off frequency, displacement, amplitude ratio, and phase diagram.

The frequency spectrum results are obtained to verify the work by Kang and Lee.

Furthermore, natural frequencies of the single and composite curved beam are calculated through solving the characteristic equation in the case of free-free, clamped-clamped, and free-clamped boundaries.

Finally, the transfer matrices of the out-of-plane curved beam are derived by combining the continuity between the different interfaces.

The transmissibility curves of the single and composite curved beam are compared to find the vibration attention band.

This work will be valuable to extend the study of the out-of-plane vibration of curved beams.

American Psychological Association (APA)

Mao, Hancheng& Yu, Guangbin& Liu, Wei& Xu, Tiantian. 2020. Out-of-Plane Free Vibration and Forced Harmonic Response of a Curved Beam. Shock and Vibration،Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1213187

Modern Language Association (MLA)

Liu, Wei…[et al.]. Out-of-Plane Free Vibration and Forced Harmonic Response of a Curved Beam. Shock and Vibration No. 2020 (2020), pp.1-14.
https://search.emarefa.net/detail/BIM-1213187

American Medical Association (AMA)

Mao, Hancheng& Yu, Guangbin& Liu, Wei& Xu, Tiantian. Out-of-Plane Free Vibration and Forced Harmonic Response of a Curved Beam. Shock and Vibration. 2020. Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1213187

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1213187