考虑水平摩阻力与竖桩支撑的弹性地基梁  

A beam on elastic foundation with support of vertical piles including the effect of horizontal friction

作　　者：周慧[1] 罗松南[1] 孙丹[1] 

机构地区：[1]湖南大学,湖南长沙410082

出　　处：《应用力学学报》2010年第2期351-355,共5页Chinese Journal of Applied Mechanics

摘　　要：考虑水平摩阻力,建立了任意对称荷载和具有竖桩支撑的有限长弹性地基梁的平衡微分方程。进行了合理的位移形函数假设,利用Galerkin方法建立了非线性代数方程组并采用迭代法进行求解,得到了具有竖桩支撑弹性地基梁的位移和内力解。通过实例计算可知,水平摩阻力对弹性地基梁的挠度和剪力影响很小,而对弯矩和轴力影响很大;竖桩支撑可以很大程度地改变弹性地基梁的变形和受力状态,合理地布置竖桩可以大大地减小弹性地基梁的挠度和弯矩。Considering the effects of horizontal friction,the equilibrium differential equations of finite long beams on elastic foundation with support of vertical piles are established.By utilizing the Galerkin integral method and adopting the appropriate functions of displacements,the nonlinear algebraic equations are founded.Solving the nonlinear algebraic equations by iterative method,the solutions of the internal force and displacements are obtained.Example shows that it influences less the deflection and the shearing force but it influences greatly the bending moment and the axial force of the horizontal friction.By rationally arranging the vertical piles,the deflection and the bend moment of the beam on elastic foundation can be greatly reduced.

关 键 词：弹性地基梁 水平摩阻力 竖桩支撑 挠度 内力 

分 类 号：V412.4[航空宇航科学与技术—航空宇航推进理论与工程]