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Bending, second-order and buckling analysis of non-prismatic beam-columns by differential quadrature method

机译：非棱柱梁柱的弯曲，二阶和屈曲的微分求积法

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摘要

While classical matrix and finite-element methods are very powerful for structural analysis, some essential shortcomings such as not placing the transverse and axial loads in their actual locations on a member, as well as necessity of a large number of iterations or subdivisions of the structural element for exact second-order analysis should be still taken into consideration. To overcome such drawbacks, Generalized Differential Quadrature (GDQ) is a new semi-numerical method for analysis of the engineering problems. The aim of this paper is to use SBCGS (Satisfaction of Boundary Conditions in the General Solution) technique to perform second-order and buckling analysis of beam-columns under different geometrical and boundary conditions by solving beam-column differential equation in matrix form. In addition, a comparison is made between the results of SBCGS technique and those of other methods available in literature for the analysis of non-prismatic beam-columns with different tapered ratios when subjected to end or distributed axial loads.
机译：尽管经典的矩阵和有限元方法对于结构分析非常有效，但存在一些基本缺陷，例如没有将横向载荷和轴向载荷放置在构件的实际位置上，以及结构的大量迭代或细分的必要性仍应考虑用于精确二阶分析的元素。为了克服这些缺点，广义差分正交（GDQ）是一种用于分析工程问题的新的半数值方法。本文的目的是利用SBCGS（通用解中的边界条件满足）技术，通过求解矩阵形式的梁柱微分方程，对梁柱在不同几何和边界条件下进行二阶和屈曲分析。另外，将SBCGS技术的结果与文献中可用的其他方法的结果进行比较，以分析承受端部或分布轴向载荷时具有不同锥度比的非棱柱梁柱。

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