带扳手槽舱段轴向对接结构弯曲刚度的半解析分析  

Semi-analytical analysis for the bending stiffness of axial connectingstructure between cabins with slot-nuts

作　　者：张硕 张晓飞 陈晓岚[2] 郭宁 徐超[1] ZHANG Shuo;ZHANG Xiaofei;CHEN Xiaolan;GUO Ning;XU Chao(School of Astronautics,Northwestern Polytechnical University,Xi’an 710072,China;Beijing Institute of Electrical Engineering System,Beijing 100854,China)

机构地区：[1]西北工业大学航天学院,西安710072 [2]北京电子工程总体研究所,北京100854

出　　处：《固体火箭技术》2024年第5期722-729,共8页Journal of Solid Rocket Technology

基　　金：国家自然科学基金(12072268)。

摘　　要：连接刚度是研究导弹结构动力学特性必须要考虑的重要因素。当前中小直径弹体结构较多采用带扳手槽的轴向螺柱对接连接形式,由于几何形状复杂和设计参数多,很难获得此类连接弯曲刚度的解析表达式。从弹性弯曲变形梁理论出发,提出了一种针对带扳手槽舱段轴向对接结构弯曲刚度的半解析分析方法。确定了中性轴的计算方法,推导了连接弯曲刚度的理论公式,并根据连接结构具有周向循环对称的特点,建立了1/n连接子结构的参数化模型,给出了轴向计算长度确定方法,利用非线性接触分析方法获得了子结构的拉、压刚度;将拉、压刚度代入理论公式,得到连接弯曲刚度。最后,通过正交试验研究了主要设计参数对弯曲刚度的影响。结果表明,半解析计算与整体结构有限元仿真计算所得弯曲刚度的相对误差最大为-13.86%,最小为-3.337%;在弯曲刚度的理论计算中,应根据实际拉、压刚度合理计算弯曲中性轴位置;在舱段直径(≤300 mm)一定时,连接厚度对弯曲刚度的影响最为显著,螺柱数目次之,相对而言,螺柱规格和预紧力水平的影响较小。Connecting stiffness is a significant factor that must be considered in studying the structural dynamic characteristics of missiles.Currently,the structures of small and medium-sized projectiles mostly adopt the axial connecting structure with slot-nuts.Due to complex geometric shape and multiple design parameters,it is hard to obtain an analytical expression for the connecting bending stiffness.Based on the theory of elastic bending deformation beam,a semi-analytical analysis method for the bending stiffness of axial connecting structure between cabins with slot-nuts was proposed.The calculation method for the neutral axis was determined,and the theoretical formula for connecting bending stiffness was derived.Based on the circumferential cyclic symmetry of the connecting structure,a parameterized model of the 1/n connecting substructure was established,and a method for determining the axial calculation length was provided.The tensile and compressive stiffness of the substructure was obtained using nonlinear contact analysis method.The obtained tensile and compressive stiffness were substituted into the theoretical formula to obtain the connecting bending stiffness.Finally,the influence of the main design parameters on the bending stiffness was researched through orthogonal experi ment.The results show that the maximum relative error between the bending stiffness obtained from semi-analytical calculation and the finite element calculation of the overall structure is-13.86%and the minimum is-3.337%.In the theoretical calculation of bending stiffness,the position of the bending neutral axis should be reasonably calculated based on the actual tensile and compressive stiffness.When the diameter(≤300 mm)of the cabin is constant,the influence of connection thickness on bending stiffness is most significant,followed by the stud number.Relatively speaking,the influence of stud specifications and preload level is relatively smaller.

关 键 词：导弹结构动力学 梁理论 轴向连接 连接刚度 半解析 

分 类 号：V414.3[航空宇航科学与技术—航空宇航推进理论与工程]