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A Vlasov theory for fiber-reinforced beams with thin-walled open cross sections

1984; Elsevier BV; Volume: 20; Issue: 3 Linguagem: Inglês

10.1016/0020-7683(84)90039-8

1879-2146

Nelson R. Bauld, Tzeng Lih-Shyng,

Structural Analysis and Optimization

This paper presents a Vlasov type theory Tor thin-walled beams with open cross sections made from midplane symmetric, fiber-reinforced laminates. A linear theory suitable for stress and deflection determination is presented first, followed by a nonlinear theory that is suitable for bifurcation and limit point stability analyses of the global buckling modes of beams under different applied loads and boundary conditions at end cross sections. Section properties defined by Vlasov, and the procedures used to determine them, remain valid for geometrically similar composite beams under more general interpretations. Additional section properties are established that characterize the coupling between the laminate bending and twisting moments. The theory reveals material symmetry conditions that a laminate in a cross section must satisfy with respect to other laminates in the cross section (in addition to geometric symmetry) in order that an uncoupling of the prebuckling bending and twisting modes, and hence bifurcation, is possible.