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开发、论证并总结了一组闭合公式,可以估算在弯矩或压力作用下,板的单个或多个开孔对其临界弹性屈曲应力的影响。公式适用于四边简支和三边简支的板(这在设计中又称为加劲板和非加劲板)。由于有限壳单元特征值屈曲分析需要运用商业有限元程序,而这些程序又不是专为结构分析而开发的,不能很方便地用于工程设计,所以可以采用这些公式作为这种屈曲分析方法的简化替代。这些公式的形式与板稳定性近似分析的经典形式相似,并通过有限壳元对其进行了参数分析并验证。有限元参数分析证实了开孔可能会导致板产生独特的屈曲模式,开孔的几何尺寸和间距可能会增加或者减少板的临界弹性屈曲应力。这些公式及其使用限制可适用于工程中通常采用的开孔形状、位置和间距,同时研究也指出,若需得到足够精确的计算,则还是有必要采用壳单元的有限元分析。
A set of closure formulas were developed, demonstrated and summarized to evaluate the effect of single or multiple openings in the plate on the critical elastic buckling stresses under bending moment or pressure. The formulas apply to plates with simple and three-sided support (also called stiffening and non-stiffening plates in the design). Since the finite element eigenvalue buckling analysis requires the use of commercial finite element programs that are not developed specifically for structural analysis and are not readily available for engineering design, these formulas can be used as a simplification of this buckling analysis method Alternative. The forms of these formulas are similar to the classical forms of approximate analysis of plate stability and are parametrically analyzed and verified by finite shell elements. Finite element analysis of the parameters confirms that the holes may cause a unique buckling pattern of the plate. The geometric dimensions and spacing of the holes may increase or decrease the critical elastic buckling stress of the plate. These formulas and their use restrictions apply to the shapes, positions and spacings of openings commonly used in engineering. The study also pointed out that finite element analysis of shell elements is still necessary if adequate and accurate calculations are to be made.