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Flexural–torsional buckling of thin-walled beam members based on shell buckling theory
AbstractThis paper summarized currently available techniques of setting up flexural–torsional buckling theory of thin-walled members. It is found that all the existing methods introduced a nonlinear load potential in their total potentials, while based on the classical variational principle for stability of a solid structure, no such load potential should be included. This situation has led to an inconsistency between some widely referenced monographs in buckling theories of beams with mono-symmetrical cross-sections. This paper provides a new theory for flexural–torsional buckling of thin-walled members based on the classical variational principle and the theory for thin-walled shells. No nonlinear load potential is included, but a new term: nonlinear strain energy from transverse stresses, which has been neglected in previous theories of thin-walled members, is introduced in. It is found that the nonlinear load potential is not equivalent to the contribution of transverse stresses for beams with mono-symmetrical cross-sections, which causes the inconsistency mentioned above. The comparison shows that the proposed theory and the traditional theory are the same for most cases encountered in practice.
Flexural–torsional buckling of thin-walled beam members based on shell buckling theory
AbstractThis paper summarized currently available techniques of setting up flexural–torsional buckling theory of thin-walled members. It is found that all the existing methods introduced a nonlinear load potential in their total potentials, while based on the classical variational principle for stability of a solid structure, no such load potential should be included. This situation has led to an inconsistency between some widely referenced monographs in buckling theories of beams with mono-symmetrical cross-sections. This paper provides a new theory for flexural–torsional buckling of thin-walled members based on the classical variational principle and the theory for thin-walled shells. No nonlinear load potential is included, but a new term: nonlinear strain energy from transverse stresses, which has been neglected in previous theories of thin-walled members, is introduced in. It is found that the nonlinear load potential is not equivalent to the contribution of transverse stresses for beams with mono-symmetrical cross-sections, which causes the inconsistency mentioned above. The comparison shows that the proposed theory and the traditional theory are the same for most cases encountered in practice.
Flexural–torsional buckling of thin-walled beam members based on shell buckling theory
Zhang, Lei (author) / Tong, Gengshu (author)
Thin-Walled Structures ; 42 ; 1665-1687
2004-05-13
23 pages
Article (Journal)
Electronic Resource
English
Flexural-torsional buckling of thin-walled beam members based on shell buckling theory
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