摘要
圆形均布荷载作用下温克勒地基上结合式双层板问题分析的关键在于中性面的求解,但目前对于两层板泊松比不同时的情况仍没有理想的理论公式和求解方法.根据薄板假设,推导了该问题的中性面方程,并提出一种数值法来求解此方程,得到了中性面曲线;最后对均布荷载作用和集中荷载作用下、圆形均布荷载半径不同时的情况,以及双层板的泊松比比值进行了分析.发现集中荷载和均布荷载作用下的双层板中性面几乎重合,圆形均布荷载半径对中性面位置的影响也很小,两层板的泊松比越接近,中性面位置的不稳定区域会随之越小.
Determination of neutral plane position is the key to the analysis of bonded two layered slab on an elastic foundation However,there are no theoretical formulas and solving methods for it when the Poisson＇s ratios of two slabs are different. Based on the Kirchhoff＇s hypotheses, the equation of neutral plane was formulated in this paper and the numerical method was employed to solve the equation and the curve of neutral plane was drawn. In addition, the neutral planes of slab subjected to concentrated load and circular, uniformly distributed loads with different radius and the ratio of two layers＇ Poisson＇s ratios were analyzed. Results show that the radius of circular uniformly distributed load has little effect on the position of neutral plane,and the unstable area of neutral plane decreases as the Poisson＇s ratios of two layers tend to be equal.
出处
《西安建筑科技大学学报（自然科学版）》
CSCD
北大核心
2007年第3期391-396,共6页
Journal of Xi'an University of Architecture & Technology(Natural Science Edition)
基金
西部交通建设科技项目(2002-318000-48)
关键词
温克勒地基
圆形均布荷载
结合式双层板
中性面
数值法
Winkler＇s foundation
circular uniformly distributed load
bonded two-la yer slab
neutral plane
numerical method
