【摘要】 基于密肋空腔板的梁板模型,将密肋板离散成梁系与上下层板的混合结构,梁板协调运动,采取能量法,运用Hamilton原理推导的Lagrange方程来建立密肋空腔板的运动微分方程,借助三次B样条函数和样条配点法求解方程,实现密肋空腔大板动力问题的半数值半解析解法,进而研究结构的动力行为以及结构几何参数的影响。更多还原

【Abstract】 Based on the beam-plate model of the Hollow-ribbed plate,the ribbed plate was discretized into the mixed structure of the beam and the upper and lower plates,and the beam-plate coordinated motion was adopted. The Lagrange equation derived from the Hamilton principle was used to build the differential equations of motion. The cubic B spline function and the spline collocation method was used to solve the dynamic problem of the Hollow-ribbed plate,and to realize the semi-numerical and semi-analytical solution for the dynamic problem of the Hollow-ribbed plat eand then the dynamic behavior of the structure and the influence of the geometric parameters of the structure were studied.更多还原