A unilateral boundary-value problem for the rod
Aplikace matematiky (1988)
- Volume: 33, Issue: 2, page 103-115
- ISSN: 0862-7940
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topBosák, Miroslav. "A unilateral boundary-value problem for the rod." Aplikace matematiky 33.2 (1988): 103-115. <http://eudml.org/doc/15528>.
@article{Bosák1988,
abstract = {A unilateral boundary-value condition at the left end of a simply supported rod is considered. Variational and (equivalent) classical formulations are introduced and all solutions to the classical problem are calculated in an explicit form. Formulas for the energies corresponding to the solutions are also given. The problem is solved and energies of the solutions are compared in the pertubed as well as the unperturbed cases.},
author = {Bosák, Miroslav},
journal = {Aplikace matematiky},
keywords = {perturbed; unperturbed cases; Signorini problem; bifurcations; simply supported rod; axially loaded; least rotation; lateral displacements; nonlinear differential equations; potential energies; equilibrium configurations; buckling of the rod; variational inequality; perturbed; unperturbed cases; Signorini problem; bifurcations; simply supported rod; axially loaded; least rotation; lateral displacements; nonlinear) differential equations; potential energies; equilibrium configurations},
language = {eng},
number = {2},
pages = {103-115},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A unilateral boundary-value problem for the rod},
url = {http://eudml.org/doc/15528},
volume = {33},
year = {1988},
}
TY - JOUR
AU - Bosák, Miroslav
TI - A unilateral boundary-value problem for the rod
JO - Aplikace matematiky
PY - 1988
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 33
IS - 2
SP - 103
EP - 115
AB - A unilateral boundary-value condition at the left end of a simply supported rod is considered. Variational and (equivalent) classical formulations are introduced and all solutions to the classical problem are calculated in an explicit form. Formulas for the energies corresponding to the solutions are also given. The problem is solved and energies of the solutions are compared in the pertubed as well as the unperturbed cases.
LA - eng
KW - perturbed; unperturbed cases; Signorini problem; bifurcations; simply supported rod; axially loaded; least rotation; lateral displacements; nonlinear differential equations; potential energies; equilibrium configurations; buckling of the rod; variational inequality; perturbed; unperturbed cases; Signorini problem; bifurcations; simply supported rod; axially loaded; least rotation; lateral displacements; nonlinear) differential equations; potential energies; equilibrium configurations
UR - http://eudml.org/doc/15528
ER -
References
top- E. L. Reiss, Column buckling- an elementary example of bifurcation, In: Bifurcation Theory and Nonlinear Eigenvalue Problems, ed. by J. B. Keller and S. Antman, p. 1-16, New York, Benjamin, 1969. (1969) Zbl0185.53002MR0241213
- А. А. Березовский, Лекции хо нелинейным краевым задачам математической физики, Наукова думка, 1976. (1976) Zbl1160.26301
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