Abstract
Dynamic analysis of the viscoelastic simple supported beam has been made in accordance with the relationship between stress and strain expressed by the simplest Voigt mechanical model, from which several analytic expressions have been obtained.
It is shown that the reduction of the ratio of natural frequencies progresses with the increase of the exciting frequency for high modes (Tab.1). In the final part of this paper, the forced vibration of simple supported beam subjected to a random and harmonic excitation has also been dealt with, and the representations of the beam deflection have been derived.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Сорокин, Е. С., К теории внутреннечо трения при колебанчях упругих систем (1960).
Пановко, Я. Г., Внутреннее трение при колебаниях уиругих систем (1960).
Zhu Bo-fang, ACTA Mechanica Sinica, 7, 2 June (1964).
Ferry, John D., Viscoelastic Properties of Polymers, (1961).
Lee, E.H., Viscoelasticity, inHandbook of Engineering Mechanics (Flügg, W., ed.) (1962).
Lou, Y. K. and Klosner, J. M.,J. Appl. Mech. June (1971).
Yang, T. Y. and Lianis G.,J. Appl. Mech. Sept. (1974).
Duffey, T. A.,J. Appl. Mech. March (1976).
Bland, D. R., Linear Viscoelastic Theory (1960).
Flügg, W., Viscoelasticity (1975).
Timoshenko, S., Young, D. H. and Weaver, Jr., W.,Vibration Problems in Engineering, 4th ed. (1974).
Newman, M. K.,J. Appl. Mech. Sept. (1959).
Meirovitch, Leonard,Elements of Vibration Analysis, (1975).
Huang, C. C.,J. Appl. Mech., March, (1977).
Author information
Authors and Affiliations
Additional information
Communicated by He Fu-zhao.
This paper was read at the 1980 Annual Meeting of Shanxi Association of Mechanics.
Rights and permissions
About this article
Cite this article
Jia-ju, S., Ke-hwa, J. Dynamic response of viscoelastic beam. Appl Math Mech 2, 255–264 (1981). https://doi.org/10.1007/BF01876783
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01876783