A consistent approach to linear stability of thin-walled beams of open section (Q1110378)
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scientific article; zbMATH DE number 4072516
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A consistent approach to linear stability of thin-walled beams of open section |
scientific article; zbMATH DE number 4072516 |
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A consistent approach to linear stability of thin-walled beams of open section (English)
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1988
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This paper presents a stability criterion for thin-walled beams of curvilinear section, based on the positive definiteness of the second variation of the potential energy. The internal stresses are derived according to a shell model which incorporates the kinematic restraints of thin-walled beams. In addition to the classical terms of the potential energy, the geometric effects of an applied torque, as well as flexural- extensional and torsional-extensional coupling terms, are accounted for.
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quadratic displacement field
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curvilinear section
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positive definiteness
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second variation
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potential energy
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internal stresses
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shell model
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kinematic restraints of thin-walled beams
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geometric effects
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torque
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flexural-extensional
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torsional-extensional coupling terms
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