Abstract
A method for determining the drag coefficient of a thin plate harmonically oscillating in a viscous incompressible fluid is proposed. The method is based on measuring the amplitude of deflections of cantilever-fixed thin plates exhibiting damping flexural oscillations with a frequency corresponding to the first mode and on solving an inverse problem of calculating the drag coefficient on the basis of the experimentally found logarithmic decrement of beam oscillations.
Similar content being viewed by others
References
N. N. Davidenkov, “On Energy Dissipation due to Vibrations,” Zh. Tekh. Fiz. 8 (6), 483–499 (1938).
V. G. Dubenets and V. V. Khil’chevskii, Oscillations of Damped Composite Structures (Vishcha Shkola, Kiev, 1995), Vol. 1 [in Russian].
R. M. Christensen, Theory of Viscoelasticity. An Introduction (Academic Press, New York, 1971).
V. N. Paimushin, V. A. Firsov, I. Gyunak, and A. G. Egorov, “Theoretical-Experimental Method of Determining the Damping Parameters on the Basis of Studying Damping Flexural Oscillations of Test Samples. 1. Experimental Fundamentals,” Mekh. Kompoz. Mater. 50 (2), 185–198 (2014).
A. G. Egorov, A. M. Kamalutdinov, A. N. Nuriev, and V. N. Paimushin, “Theoretical-Experimental Method of Determining the Damping Parameters on the Basis of Studying Damping Flexural Oscillations of Test Samples. 1. Aerodynamic Component of Damping,” Mekh. Kompoz. Mater. 50 (3), 379–396 (2014).
J. E. Sader, “Frequency Response of Cantilever Beams Immersed in Viscous Fluids with Applications to the Atomic Force Microscope,” J. Appl. Phys. 84 (1), 64–76 (1998).
M. Aureli and M. Porfiri, “Low Frequency and Large Amplitude Oscillations of Cantilevers in Viscous Fluids,” Appl. Phys. Lett. 96, 164102 (2010).
R. D. Adams, “The Damping Characteristics of Certain Steels, Cast Irons and Other Metals,” J. Sound Vibr. 23 (2), 199–216 (1972).
J. G. Felicity, “Property-Microstructural Relationships in GFRP,” Ph.D. Thesis (Univ. of Plymouth, Plymouth, 1978).
S. Singh, “Forces on Bodies in Oscillatory Flow,” Ph.D. Thesis (Univ. of London, London, 1979).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 57, No. 2, pp. 96–104, March–April, 2016.
Rights and permissions
About this article
Cite this article
Egorov, A.G., Kamalutdinov, A.M., Paimushin, V.N. et al. Theoretical-experimental method of determining the drag coefficient of a harmonically oscillating thin plate. J Appl Mech Tech Phy 57, 275–282 (2016). https://doi.org/10.1134/S0021894416020103
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021894416020103