On the elastic stability of uniform beams and circular arches under nonconservative loading

The infinitesimal (local) stability of uniform beams and circular arches under the terminal nonconservative loading is studied. The nonlinear equilibrium with large deflections is expressed in a closed form. Then, the equations which govern a free motion about the equilibrium position are constructe...

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Veröffentlicht in:	International journal of solids and structures 2000-09, Vol.37 (39), p.5505-5515
1. Verfasser:	Detinko, F.M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Arch Beams, plates and shells Computational techniques Exact sciences and technology Finite-element and galerkin methods Fundamental areas of phenomenology (including applications) Mathematical methods in physics Nonlinear Physics Solid mechanics Stability Structural and continuum mechanics Structural mechanics (beam, string...) Subdomain collocation Theory and numerical methods
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Beschreibung
Zusammenfassung:	The infinitesimal (local) stability of uniform beams and circular arches under the terminal nonconservative loading is studied. The nonlinear equilibrium with large deflections is expressed in a closed form. Then, the equations which govern a free motion about the equilibrium position are constructed. The eigenvalue analysis of the linearized system of differential equations with varying coefficients is performed by the finite element concept and the subdomain collocation method.
ISSN:	0020-7683 1879-2146
DOI:	10.1016/S0020-7683(99)00229-2