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2维梁有限变形的精确理论和近似理论
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摘要:
提出了用以判别梁的有限变形精确理论与近似理论的3条准则,在李明瑞的2维梁有限变形精确理论的基础上推导出几种合理的简化理论,将Reissuer-Simo理论补充成为完整的近似理论,通过算例对各种理论作了比较。
关键词:  2维梁,有限变形,精确理论,近似理论,判别准则
DOI:
基金项目:国家自然科学基金
Exact and Approximate Finite Deformation Theories of 2-D Beam
Abstract:
The criteria used to classify exact and approximate finite deformation theories areproposed. Based on the exact finite deformation theory of 2-D beam proposed by Li, severaluseful approximate finite deformation theories are derived. The Reissner-Simo theory isdiscussed and made into complete approximate. Numerical examples are calculated indifferent theories for comparison.
Key words:  2-D beam,finite deformation,exact theory,approximate theory,criteria,