Abstract
In this paper, the flexural vibration of the V-shaped beam with varying section and bending stiffness submerged in a quiescent viscous fluid is studied. Fluid-structure interactions are modelled through a complex hydrodynamic function that describes added mass and damping effects. A parametric study is conducted on the two-dimensional computational fluid dynamics of an oscillating V-shaped beam under harmonic base excitation to establish a handleable formula for the hydrodynamic function, which is in terms of the frequency parameter and the ratio between the gap of the beam cross-section and the width of the beam. The real part and imaginary parts of hydrodynamic function decrease with both the frequency parameter and the ratio. The frequency response of the V-shaped beam is obtained by solving the model numerically. Findings from this work can be used in the design of V-shaped structures of interest in marine applications such as the energy harvesting devices and micromechanical oscillators for sensing and actuation.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Raman A, Melcher J, Tung R (2008) Cantilever dynamics in atomic force microscopy. Nano Today 3(1):20–27
Cha Y, Verotti M, Walcott H, Peterson SD, Porfiri M (2013) Energy harvesting from the tail beating of a carangiform swimmer using ionic polymer–metal composites. Bioinspir Biomim 8(3):036003
Aureli M, Kopman V, Porfiri M (2010) Free-locomotion of underwater vehicles actuated by ionic polymer metal composites. IEEE/ASME Trans Mechatron 15(4):603–614
Liu B, Powers TR, Breuer KS (2011) Force-free swimming of a model helical flagellum in viscoelastic fluids. Proc Natl Acad Sci 108(49):19516–19520
Lee HL, Chang WJ (2011) Sensitivity of V-shaped atomic force microscope cantilevers based on a modified couple stress theory. Microelectron Eng 88(11):3214–3218
Enikov ET, Kedar SS, Lazarov KV (2005) Analytical model for analysis and design of V-shaped thermal microactuators. J Microelectromech Syst 14(4):788–798
Aureli M, Basaran ME, Porfiri M (2012) Nonlinear finite amplitude vibrations of sharp-edged beams in viscous fluids. J Sound Vib 331(7):1624–1654
Grimaldi E, Porfiri M, Soria L (2012) Finite amplitude vibrations of a sharp-edged beam immersed in a viscous fluid near a solid surface. J Appl Phys 112(10):104907
Acknowledgements
The authors gratefully acknowledge the supports by the National Natural Science Foundation of China (Grant No. 11572190), the National Science Foundation for Distinguished Young Scholars (Grant No. 11625208), and the National Program for Support of Top-Notch Young Professionals.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Hu, L., Zhang, WM., Yan, H., Zou, HX. (2019). Analysis of Flexural Vibration of V-Shaped Beam Immersed in Viscous Fluids. In: Mathew, J., Lim, C., Ma, L., Sands, D., Cholette, M., Borghesani, P. (eds) Asset Intelligence through Integration and Interoperability and Contemporary Vibration Engineering Technologies. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-95711-1_26
Download citation
DOI: https://doi.org/10.1007/978-3-319-95711-1_26
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-95710-4
Online ISBN: 978-3-319-95711-1
eBook Packages: EngineeringEngineering (R0)