The moving load on a string as free boundary problem
Author:
B. D’Acunto
Journal:
Quart. Appl. Math. 45 (1987), 201-204
MSC:
Primary 35R35
DOI:
https://doi.org/10.1090/qam/895093
MathSciNet review:
895093
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Abstract: A free boundary problem for the nonhomogeneous wave equation is studied. Such a problem arises when the motion of a load on a string is analyzed without supposing that the load velocity is known and fixed. Preliminarily the complementary equations which characterize the free boundary are determined. The mechanical problem is then solved by proving a uniqueness and existence theorem.
L. Amerio, Analisi Matematica con Elementi di Analisi Funzionale, Utet. Torino (1982)
- R. Burridge and J. B. Keller, Peeling, slipping and cracking—some one-dimensional free-boundary problems in mechanics, SIAM Rev. 20 (1978), no. 1, 31–61. MR 464828, DOI https://doi.org/10.1137/1020003
K. F. Graff, Wave motion in elastic solids, Clarendon Press, Oxford (1975)
G. Krall, Stabilità e Vibrazioni, Cremonese, Rome (1968)
S. Timoshenko, D. H. Young, and W. Weaver, Jr., Vibration problems in engineering, Wiley, New York (1974)
L. Amerio, Analisi Matematica con Elementi di Analisi Funzionale, Utet. Torino (1982)
R. Burridge and J. B. Keller, Peeling, slipping and cracking. Some one-dimensional free-boundary problems in mechanics, SIAM Rev. (1) 20, 31–61 (1978)
K. F. Graff, Wave motion in elastic solids, Clarendon Press, Oxford (1975)
G. Krall, Stabilità e Vibrazioni, Cremonese, Rome (1968)
S. Timoshenko, D. H. Young, and W. Weaver, Jr., Vibration problems in engineering, Wiley, New York (1974)
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Article copyright:
© Copyright 1987
American Mathematical Society
