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研究拱形温室纵向抗风分析中的屋面拱结构。考虑弯扭耦合的影响,在对其几何方程、平衡方程、物理方程分析的基础上,建立了曲梁扭转角和弯曲挠度的控制方程;求得了用基函数向量以及积分常数向量表达的曲梁扭转角和弯曲挠度的解析解;根据位移边界条件,得到了位移系数;根据曲梁内力方程,建立了以矩阵形式表达的刚度平衡方程;经矩阵变换得到了曲梁弯扭分析的刚度矩阵模型以及等效节点力向量。本模型基于梁的刚度平衡方程,采用了精确的解析解,以矩阵形式表达了梁节点位移与节点力之间的关系,利用该模型,可对拱形温室的纵向抗风性能进行分析。
Roof arch structure in longitudinal wind analysis of arched greenhouse. Considering the influence of bending and torsional coupling, the governing equation of torsion angle and bending deflection of curved beam is established based on the analysis of its geometric equation, equilibrium equation and physical equation. The curved beam expressed by the basis function vector and the integral constant vector According to the internal force equation of curved beam, the stiffness balance equation expressed in matrix form is established. The stiffness matrix model of curved and torsional analysis of curved beam is obtained by matrix transformation As well as the equivalent nodal force vector. Based on the stiffness balance equation of the beam, this model uses the exact analytic solution and expresses the relationship between the node displacement and the nodal force in matrix form. By using this model, the longitudinal wind resistance performance of the arched greenhouse can be analyzed.