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广义梁理论中的横截面分析证实了一种新的薄壁构件分析方法。这个创新依赖于康托罗维奇的变分法,即采用无约束平面框架动力模式取代平面内变形的模式。通过平面内模型的后处理程序计算构件的翘曲变形,这与经典的广义梁理论的做法相反。新的计算程序比经典算法的步骤要少,可以分别计算弯曲、剪力和局部模态,并且适用于开口、部分封闭和封闭截面。通过两个实例说明了该方法对薄壁结构的线弹性性能分析的有效性和简易性。
Cross-section analysis in the generalized beam theory confirms a new method of analyzing thin-walled members. This innovation relies on the variation of Cantorovich’s method of replacing the in-plane deformation with an unrestrained planar frame dynamics. The warp deformation of the component is calculated by the in-plane model postprocessing procedure, which is contrary to the classical generalized beam theory. The new calculation program has fewer steps than the classical algorithm, which can calculate bending, shear and local modalities, respectively, and is suitable for opening, partially closing, and closing sections. Two examples are given to illustrate the effectiveness and simplicity of this method in analyzing the linear elastic properties of thin-walled structures.