温克勒地基上结合式双层板中性面分析

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;最后分析了地基反应模量、两层板泊松比比值、模量比和厚度比对中性面位置的影响,发现地基反应模量、泊松比仅在荷载附近的影响较为明显,模量比对中性面影响较大,中性面明显向模量较大的板方向偏移,而厚度比对中性面影响不大。

NEUTRAL PLANE ANALYSIS OF BONDED TWO-LAYERED SLAB ON WINKLER FOUNDATION

Determination of neutral plane position is the key issue in the analysis of bonded two-layered slab on a Winkler foundation, however, there exist no theoretical formulas and solving methods for the problem when the Poisson’s ratios of two slabs are different. Based on the Kirchhoff’s hypotheses, the equation of neutral plane was formulated and numerical method was employed to solve the equation and obtain the curve of neutral plane. In addition, the effects of response modulus of foundation, the ratio of Poisson's ratios, elastic moduli and thicknesses on the positions of neutral plane were discussed, and the results show that the response modulus of foundation and Poisson's ratio plays important roles in the vicinity of load; the elastic moduli have a primary influence on the position of neutral plane, and the neutral plane shifts to the slab which has a greater elastic modulus; on the contrary, the thicknesses have little effect on the neutral plane.