Abstract
The scope of the present article, motivated by the case of the composite wooden propeller of an airplane, is to deal tentatively with the longitudinal free vibrationproblem of an elastic straight bar with a more general mathematical treatment.
In this analysis, we have assigned to the modulus of elasticity, the bar cross section as well as the mass per unit length of the bar an exponential function variation, and then found a general solution, wherein three parameters were considered as the main factors to affect the longitudinal free vibration of the inhomogeneous elastic straight bar with a variable cross section.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Melan, E. und Parkus, H., Wärmespannungen infolge Stationärer Temperaturfelder, Springer-Verlag, Wien (1953), p. 106.
Rainville, E. D.,Intermediate Course in Differential Equations, John Wiley & Sons, London (1951).
Liu Hsien-chih. A New Method for Calculating Longitudinal and Torsional natural Vibration Frequencies of wedge-shaped straight Bars, Scientia Sincia. No. 6 (1977).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Shien-chih, L. Longitudinal free vibration of inhomogeneous elastic straight strut with a variable cross section. Appl Math Mech 1, 149–157 (1980). https://doi.org/10.1007/BF01876740
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01876740