【作者】 吕朝锋； 高颖； 陈伟球；

【Author】 LV Chaofeng, GAO Ying, CHEN Weiqiu(Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China; Department of Urban Construction, Zhejiang College of Construction, Hangzhou 311231. China)

【机构】 浙江大学土木系； 浙江建设职业技术学院城建系；

【摘要】 基于平面问题弹性理论,采用状态空间-微分积分法分析了正交铺设层合梁弯曲问题。将微分积分原理运用于二维状态方程,建立关于任意层离散点处状态变量的状态方程。考虑端部支承条件和界面连续条件,得到上下表面状态变量的传递关系。引入上下表面边界条件,从而得到了问题的半解析解。数值比较验证了本文方法的精确性和收敛性,并讨论了跨高比和层数变化的影响。更多还原

【Abstract】 Based on the plane elasticity, a hybrid, state-space-based, differential quadrature method is presented for static analysis of cross-ply laminated beams. The technique of differential quadrature is employed to reduce the partial differential state equations into the ordinary differential ones at sampling points. Taking account of the end supporting conditions and inter-lamina continuity conditions, a relationship between state variables at the top and bottom surfaces is established. After incorporating the boundary conditions at these two surfaces, a semi-analytical solution for static problem is then derived. Accuracy and convergence characteristics of the present method are discussed through numerical examples, and the effects of length-to-depth ratio and layer number are studied.更多还原