Buckling of a clamped strip-like beam with a linear pre-stress distribution

Christian Schmidrathner

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Buckling of a clamped strip-like beam with a linear pre-stress distribution

机译：具有线性预应力分布的夹紧条状梁的屈曲

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A thin linear elastic strip is clamped at both ends and subjected to a linear stress distribution across its width. We use Kirchhoff beam theory to study this problem. If displacements out of the strips own plane are prohibited, the straight configuration remains stable as long as the compression is not too high.With the three-dimensional spatial description of the rod theory, we find possible buckling modes even in the case of average tensile stresses in the beam. Comparison with shell and beam finite elements shows excellent agreement with the analytical investigation, also with respect to the supercritical behavior.

机译：在两端夹紧一条薄的线弹性带，并在其整个宽度上承受线性应力分布。我们用基尔霍夫光束理论来研究这个问题。如果禁止带自身平面外的位移，只要压缩不太高，直线配置保持稳定。通过杆理论的三维空间描述，我们发现即使在梁中存在平均拉伸应力的情况下，也可能存在屈曲模式。与壳有限元和梁有限元的比较表明，在超临界行为方面，与分析结果非常吻合。

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来源
《Zeitschrift fur Angewandte Mathematik und Mechanik》 |2020年第7期|共13页
作者
Christian Schmidrathner;
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作者单位

Institute of Mechanics and Mechatronics TU Wien Vienna Austria;

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原文格式 PDF
正文语种 eng
中图分类应用数学;力学;
关键词
incremental equations; lateral-torsional buckling; nonlinear rod model; pre-stress; spatial rod model; supercritical behavior;

机译：增量方程;横向弯曲;非线性杆模型;预应力;空间杆模型;超临界行为;

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Buckling of a clamped strip-like beam with a linear pre-stress distribution

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