FEM and Analytical Solutions for Buckling of Nonlinear Masonry Members
FEM and Analytical Solutions for Buckling of Nonlinear Masonry Members
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非线性砌体构件屈曲的有限元法和分析解决方案
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
F. Romano
中科院分区：
文献类型：
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作者：
Salvatore Ganduscio;F. Romano
对细长裂缝和无裂缝砌体构件进行了数值分析，包括非线性应力应变关系、自重、竖向和侧向集中荷载和分布荷载。通过忽略自重，还提供了大裂纹构件（每个横截面中的大偏心距）的稳定性问题的解析解。有限元法（FEM）的方法，使用伽辽金加权残值法，开发研究任何应力-应变关系和任何荷载条件下的砌体构件的稳定性问题。建议的非线性有限元的可靠性和收敛性进行评估的解决方案与可用的解析的，并通过另一种数值技术得到的比较。结果表明，自重对竖向荷载大偏心时有稳定作用，但对小偏心时有不稳定作用。非线性应力-应变关系的不稳定效应更显着。类似的实际问题的解决方案的无障碍图的报告。
The numerical analysis of slender cracked and uncracked masonry members—including nonlinear stress-strain relationship, self-weight, and vertical and lateral concentrated and distributed loads—is carried out. Analytical solutions of the stability problem are also provided for large cracked members (large eccentricity in each cross section) by neglecting the self-weight. A finite-element method (FEM) approach, using the Galerkin weighted residuals approach, is developed to study the stability problem for any stress-strain relationship and any load condition of the masonry member. The reliability and the convergence of the proposed nonlinear FEM is evaluated by the comparison of the solutions with available analytical ones and with those obtained by means of another numerical technique. It is shown that the self-weight has a stabilizing effect for large eccentricities of the vertical load, but an unstabilizing effect for small eccentricities. The unstabilizing effect is more marked for nonlinear stress-strain relationships. Dimensionless graphs allowing the resolution of similar practical problems are reported.