相似对称性在相似反对称结构的应用研究

相似反对称结构,就是结构本身不对称,但当结构的一部分绕某一点转过一定角度时,该部分可以与结构另一部分重合的结构体系;作用在相似反对称结构上的大小相等荷载,本身也非对称,在随结构转动后,荷载的作用点可以重合,当荷载方向相同时称之为相似正对称荷载,反之为相似反对称荷载.相似对称性就是这种结构的相似反对称性和荷载的相似正对称性与相似反对称性的统称.以力法为计算依据,以超静定刚架为例,对在相似对称性荷载作用下的相似反对称结构的内力和变形规律及其简便计算方法,进行研究.在其内力和变形的分析过程中,拟定结构体系各杆的抗弯刚度相同且忽略轴向变形和剪切变形的影响.研究表明:相似反对称结构在相似反对称荷载作用下,其结构内力、变形和支座反力呈现相似反对称;在相似正对称荷载作用下,其结构内力、变形和支座反力呈现相似正对称.此规律也适合静定和超静定的相似反对称梁、相似反对称桁架、相似反对称组合结构等结构形式.

Research of Similar Symmetry in Similar Anti -symmetrical Structure

Similar anti-symmetry structure is of non symmetry in the structure itself but when a part of the structure turns around a certain point to a certain angle,the part will coincide with another part of the structure.The equal load on the anti-symmetry structure is of non symmetry itself,and after turning together with the structure,the work point of the load may coincide.When the direction of the load is the same,it is called similar positive symmetry load;when different,it is called similar anti-symmetry load.Similar symmetry is the general name of similar anti-symmetry,similar positive symmetry and similar anti-symmetry of the load.With the calculation method of velocity and the example of silent rigid structure,the paper dealt with the internal force,distortion patterns and the simplified calculation method for similar anti-symmetry structure in the similar symmetry load.In the course of analyzing the internal force and distortion,the rigidness of bend-proof of the structure system was given and the influence of axis distortion and cut distortion were neglected.Research showed that under the condition of similar anti-symmetry load,similar anti-symmetry structure presents similar anti-symmetry in structure inner force,distortion and the base counteraction force,and that under the condition of similar positive symmetry load,it presents similar positive symmetry in structure force,distortion and base counteraction force.This pattern also can be applied to other structure forms such as similar anti-symmetry beams,similar anti-symmetry frame and mixed structures of similar anti-symmetry.