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为丰富人民的生活需要,自行车除菱形车架(由直梁组成的框架结构)外,一些款式新颖、美观大方的曲线形车架亦相继问世。对于这一类车架结构的设计,因其管件的几何形状变换多端、较为复杂,设计者需要了解每种形式的车架的内力及其分布情况。由于曲线形管件多具有复杂的几何形状,它在外载作用下的位移呈现几何的非线性。若用现有的线性梁系有限元法求解,是不能满足设计要求。国内外也有一些有关梁单元几何非线性刚度
In order to enrich the people’s life needs, besides the rhombus-shaped bicycle frame (frame structure composed of straight beams), some curvilinear frames with novel styles and beautiful appearance also come out one after another. For this type of frame structure design, due to the geometry of the transformation of the pipe more complex and complex, designers need to understand each form of frame internal forces and their distribution. Due to the complex geometry of curved pipe fittings, the displacement of the pipe under geometric load is geometrically nonlinear. If we use the existing linear beam finite element method to solve, it can not meet the design requirements. There are also some relevant geometric nonlinear stiffness of beam element both at home and abroad