适用于微位移机构的弹性铰链特性分析及试验研究

发布时间：2018-06-08 18:30

本文选题：弹性铰链 + 屈曲临界载荷　；参考：《南京航空航天大学》2011年硕士论文

【摘要】：本文针对弹性铰链传统分析方法中存在的不足之处,通过理论、仿真和试验三者相结合的方法,对微位移机构中弹性铰链的失稳(屈曲)和刚度问题进行了研究。依据材料力学能量原理中的瑞利-里兹法,针对多节串联直角切口型弹性铰链和直角切口型弹性铰链平行四杆机构,建立了屈曲临界载荷力学模型并推导了相关计算公式,综合考虑了弹性铰链的连杆长度对其屈曲的影响;依据卡氏定理推导了双曲线型及椭圆型弹性铰链的柔度计算公式;采用伪刚体模型法推导了直角切口型及椭圆型弹性铰链平行四杆机构静刚度计算公式。利用有限元软件对直角切口型弹性铰链及其平行四杆机构模型进行了屈曲仿真分析,包括特征值屈曲分析和非线性屈曲分析;计算了双曲线型及椭圆型弹性铰链的柔度、直角切口型及椭圆型弹性铰链平行四杆机构的静刚度。制作了直角切口型弹性铰链及其平行四杆机构的样件,设计了试验装置,分别进行了屈曲和刚度试验,得到了相关的试验数据。通过在不同尺寸参数下的屈曲和刚度分析,比较了理论计算值、有限元仿真值及相关试验数据,证明了本文所建力学模型及推导公式的正确性。
[Abstract]:Aiming at the shortcomings of the traditional analysis method of elastic hinge, this paper combines the theory, simulation and experiment. The instability (buckling) and stiffness of elastic hinges in micro-displacement mechanisms are studied. A mechanical model of buckling critical load is established for the parallel four-bar mechanism of multi-section series right-cut elastic hinge and right-angle notch elastic hinge, and the related calculation formulas are derived. The influence of connecting rod length of elastic hinge on its buckling is considered synthetically, and the formulas for calculating flexibility of hyperbolic and elliptic elastic hinge are derived according to Cardahl theorem. The static stiffness formulas of rectangular and elliptical elastic hinge parallel four-bar linkage are derived by using pseudo-rigid body model method. The buckling simulation analysis of right-cut elastic hinge and its parallel four-bar mechanism model is carried out by using finite element software. Including eigenvalue buckling analysis and nonlinear buckling analysis, the flexibility of hyperbolic and elliptic elastic hinges is calculated. The static stiffness of rectangular and elliptical elastic hinge parallel four-bar mechanism is studied. The specimens of right-angle notched elastic hinge and its parallel four-bar mechanism are made, and the test device is designed, and the buckling and stiffness tests are carried out, respectively. Relevant experimental data are obtained. Through the buckling and stiffness analysis under different size parameters, the theoretical calculation value, the finite element simulation value and the related experimental data are compared, which proves the correctness of the mechanical model established in this paper and the derivation formula.
【学位授予单位】：南京航空航天大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：TH112.1

【引证文献】