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首页> 外文会议>International Conference on Computer Aided Optimum Design in Engineering; 2007; Myrtle Beach,SC(US) >Optimization of geometry for the lateral buckling process of a cantilever beam
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Optimization of geometry for the lateral buckling process of a cantilever beam

机译：悬臂梁横向屈曲过程的几何优化

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Using the large displacement theory (theory of the third order according to Chwalla), this paper deals with the lateral buckling process of a slender, elastic cantilever beam with a changeable height of a rectangular cross section and represents it with a system of nonlinear differential equations. Based on a mathematical model of the lateral buckling process, which considers the geometric and boundary conditions, an optimal geometry of a cantilever beam is obtained using the calculus of variation. A comparison between the properties of the beam with optimized geometry and those of a referential beam with a constant cross section is shown. The result of the optimization process is, besides a higher critical load, a higher carrying capacity of the optimal geometry beam in the postbuckling region. For a verification of the theoretical results an experiment of the lateral buckling process had been done.
机译：本文使用大位移理论（根据Chwalla的三阶理论），研究了矩形截面高度可变的细长弹性悬臂梁的横向屈曲过程，并用非线性微分方程组表示。基于侧向屈曲过程的数学模型，该模型考虑了几何条件和边界条件，利用变化演算获得了悬臂梁的最佳几何形状。显示了具有优化几何形状的光束的特性与具有恒定横截面的参考光束的特性之间的比较。优化过程的结果是，除了较高的临界载荷外，优化几何梁在后屈曲区域中的承载能力也更高。为了验证理论结果，进行了横向屈曲过程的实验。

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