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采用框架核心筒伸臂结构的简化计算模型,将核心筒看做底端固定上端自由的悬臂梁,伸臂对核心筒的约束作用看做抗扭弹簧,考虑核心筒和伸臂的弯曲、剪切变形及核心筒的宽度影响,导出了结构的Hamilton对偶求解体系,通过两端边值问题的精细积分法,求解核心筒的内力与变形。以施加倒三角水平荷载的框架核心筒伸臂结构为例,进行算例计算。
A simplified calculation model of the boom core structure of the frame core is adopted. The core barrel is regarded as a cantilever beam with a fixed upper end free from the bottom end. The restraining action of the extension arm on the core barrel is regarded as torsion spring. Considering the bending and shearing of the core barrel and the extending arm, Deformation and the influence of the width of the core tube, the structure of the Hamiltonian dual solution system is deduced. The internal integration and deformation of the core tube are solved by the precise integral method of the two-end boundary value problem. Taking the frame core tube boom structure with inverted triangular horizontal load as an example, an example calculation is made.