Summary
An extended form of Hamilton's principle is developed for systems whose constituent particles change with time. By a suitable choice of system boundary it is demonstrated that in some cases stationary forms of the principle are possible. A simple example is considered.
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References
L. Meirovitch,Methods of Analytical Dynamics, McGraw-Hill Advanced Engineering Series, New York (1970).
Y. C. Fung,Foundations of Solid Mechanics, Prentice-Hall International Series in Dynamics, London (1965).
M. A. Biot,Variational Principles in Heat Transfer, Oxford Mathematical Monographs, 1970.
B. A. Boley and J. H. Weiner,Theory of Thermal Stresses, John Wiley and Sons, Inc., 1960.
G. W. Housner, Bending Vibrations of a Pipeline Containing Flowing Fluid.Jnl. Appl. Mech., 19, 2, 205–208, (1952).
T. B. Benjamin, Dynamics of a System of Articulated Pipes Conveying Fluid (1. Theory),Proc. Roy. Soc. A261, (1961) 457–486.
G. Herrmann and S. Nemat-Nasser, Instability Modes of Cantilevered Bars Induced by Fluid Flow Through Attached Pipes,Int. Jnl. Solids Structures, 3, (1967) 39–52.
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McIver, D.B. Hamilton's principle for systems of changing mass. J Eng Math 7, 249–261 (1973). https://doi.org/10.1007/BF01535286
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DOI: https://doi.org/10.1007/BF01535286