Abstract
Arches have been widely used in infrastructures such as bridges. This paper presents an experimental investigation of the out-of-plane dynamic instability of shallow circular arches under an in-plane central concentrated harmonic load owing to parametric resonance. The effects of central concentrated weight and the amplitude of the periodic load on the out-of-plane dynamic instability of arches are also investigated. It is found that as the weight increases, the bandwidth of the critical frequency region for out-of-plane dynamic instability decreases. It is also found that the bandwidth of the critical frequency region increases with an increase of the amplitude of the harmonic load. It is shown that the curve of the excitation frequency vs. amplitude of out-of-plane resonance bends toward the low frequency region and that the “traction” out-of-plane instability may occur owing to the “amplitude” perturbation.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bolotin, V.V. (1995). Dynamic Stability of Structures, Nonlinear Stability of Structures. Springer, Vienna.
Huang, C.S., Nieh, K.Y., Yang, M.C. (2003). In-plane free vibration and stability of loaded and shear deformable circular arches. Int. J. Solids Struct. 40(22): 5865–5886.
Simitses, G. J. (2012). Dynamic Stability of Suddenly Loaded Structures. Springer, Berlin.
Pi, Y.-L., Bradford, M.A. (2008). Dynamic buckling of shallow pin-ended arches under a sudden central concentrated load. J. Sound Vib. 317(3–5): 898–917.
Pi, Y.-L., Bradford, M.A., Tong, Q.-S. (2010). Elastic lateral-torsional buckling of circular arches subjected to a central concentrated load. Int. J. Mech. Sci. 52: 847–862.
Liu, A.R., Huang, Y.H., Yu, Q.C., Rao, R. (2014). An analytical solution for lateral buckling critical load calculation of leaning-type arch Bridge. Math. Probl. Eng., 578473.
[7] Liu, A.R., Huang, Y.H., Fu, J.Y., Yu, Q.C., Rao, R. (2015). Experimental research on stable ultimate bearing capacity of leaning-type arch rib systems. J Constr Steel Res. 114, 281–292.
[8] APS Dynamics. (2014). Systems for Generating Controlled Vibration: APS 113 ELECTRO-SEIS® Long Stroke Shaker with Linear Ball Bearings, APS Dynamics Inc., Dresden Germany.
[9]Brüel & Kjær. (2003): PULSE-Getting Started: An Introduction to PULSE. Brüel & Kjær Sound & Vibration Measurement A/S, Nærum Denmark.
Liu, A.R., Lu, H.W, Fu, J.Y., Pi, Y.-L., Huang, Y.Q, Li, Jing, Ma, Y.W. (2016).Analytical and experimental studies on out-of-plane dynamic instability of shallow circular arch based on parametric resonance. Nonlinear Dynamics.
Liu, A.R., Lu, H.W. (2014). Investigations of out-of-plane dynamic buckling of arches under concentrated forcer. Report, Guangzhou University, Guangzhou.
Acknowledgements
This investigation was sponsored by National Natural Science Foundation of China through a Research Project (No. 51578166) awarded to the first author, by Guangzhou government through a Yangcheng Fellowship (No. 1201541551), and by Technology Planning Project of Guangdong Province (No. 2016B050501004) awarded to the first author.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Singapore Pte. Ltd. and Zhejiang University Press
About this chapter
Cite this chapter
Liu, A., Lu, H., Pi, YL., Huang, Y., Li, J. (2018). Out-of-Plane Parametric Resonance of Arches Under an In-Plane Central Harmonic Load. In: Bian, X., Chen, Y., Ye, X. (eds) Environmental Vibrations and Transportation Geodynamics. ISEV 2016. Springer, Singapore. https://doi.org/10.1007/978-981-10-4508-0_4
Download citation
DOI: https://doi.org/10.1007/978-981-10-4508-0_4
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-4507-3
Online ISBN: 978-981-10-4508-0
eBook Packages: EngineeringEngineering (R0)