基于Shapley值法的移动增值服务价值链利润分配模型

研究对象为任意节点连接和任意支撑的平面框架。一般梁单元由等截面直杆及其杆端的轴向弹簧、切向弹簧和转动弹簧组成，推导得到此类单元的刚度矩阵、单元在8种基本荷载作用下的等效节点荷载。采用Matlab语言编写了适用于一般节点非线性连接框架的静力分析程序，非线性形式为指数函数或多项式函数，可以得到结构不同连接刚度下的节点位移、杆端位移和杆端力。算例显示出节点柔度对结构受力和变形的影响。

Profit Distribution Model of Mobile Added value Services Value Chain Based on Shapley value Method

The planar frame with arbitrary connections and supports is studied. A new beam element is proposed, which consists of uniform bar and three null length springs (along rotational, transverse and axial direction) at each end. The stiffness matrix of the element and equivalent nodal forces subjected to eight kinds of different loads are derived. A program is compiled in Matlab language for calculation of static mechanical behaviour of generalized frame, in which the connection nonlinear relationship is expressed as exponential function or polynomial function. the results of the rigid frame and the semi rigid frames are Compared, showing the influence of connection flexibilities on structure forces and deformation.