平面梁单元的非节点连接方法

Non-nodal Connection Method for Plane Beam Elements

为了在平面梁单元范畴内解决钢筋混凝土结构的建模问题,将钢筋与混凝土视为不同的单元,在分析平面梁单元内任一点位移的基础上,根据位移协调条件,利用虚功原理建立了钢筋单元与混凝土单元不需要通过节点连接的非节点连接方法.该方法能够比较方便地模拟工程结构中构件含加劲材料、构件截面在不同阶段变化等复杂组合和连接问题.算例考察了钢筋混凝土梁的位移和加固问题,验证了方法的可行性,演示了在使用上的便利.

In reasonably modeling reinforced concrete structures with plane beam elements, the reinforcement and the concrete are regarded as different elements respectively, which would be joined together with the non-nodal connection method put forward under the principle of virtual work based on the displacement analysis at an arbitrary point in a plane beam element and according to the consistent condition of displacements. Then with that method, more problems of complex combination and connection can be conveniently and precisely simulated, such as reinforced members or members with changing sections in different construction phases. In the numeric crete beam and the strengthening effects on another reinforced concrete is verified and its convenience is demonstrated. examples, the displacement of a reinforced con- beam are analyzed, the feasibility of the method is verified and its convenience is demonstrated.