传递矩阵法分析中心荷载下对称刚性板地基沉降及反力

Analysis of Settlement and Contact Pressure of Symmetric Rigid Plate on Subgrade under Central Concentrated Load with Method of Transferring Matrix

利用传递矩阵法对横观各向同性地基上受中心荷载的对称刚性板问题进行了分析,文中分析了坚向的弹性模量Ev、水平的弹性模量Eh、坚直面上的剪切模量Gv以及Eh和Ev的比值n、Gv和Ev的比值m、水平向应力引起的正交水平向应变的泊松比νh、竖直向应力引起的水平向应变的泊松比νvh对沉降和基底反力的影响;同时采用成层地基进行分析,将其计算结果与常规方法中采用对弹性模量和泊松比在计算深度内按深度加权平均的计算结果进行比较;可对比看出传递矩阵法更符合地基的实际情况,结果也趋合理。

The symmetrical rigid plate on transversely isotropic subgrade is analyzed by the method of transferring matrix. The influence of factors, such as vertical elastic modulus Ev,horizontal elastic modulus Eh, shear modulus Gv, ratio n of Eh and Ev, ratio m of Gv and Ev, Poisson’s ratios νh and ν vh, on the settlement and contact pressure of the subgrade is discussed, In the paper, the layered subgrade is also analyzed by the method of transferring matrix. Present results are compared with the results from conventional method, in which the elastic modulus and Poisson’s ratio are weighted averaged with the depth. The comparison shows the results from the method of transferring matrix are more agreed with actual situation.