On the Nonlinear Snap-Through of Arch-Shaped Clamped–Clamped Bistable Beams
On the Nonlinear Snap-Through of Arch-Shaped Clamped–Clamped Bistable Beams
复制标题
DOI：
10.1115/1.4045593
复制
发表时间：
2020-02
期刊：
影响因子：
--
通讯作者：
Jian Zhao;Jian Zhang;Kon-Well Wang;Cheng Kai;Hongxi Wang;Yu Huang;Pengbo Liu
中科院分区：
文献类型：
--
作者：
Jian Zhao;Jian Zhang;Kon-Well Wang;Cheng Kai;Hongxi Wang;Yu Huang;Pengbo Liu
双稳态顺应性元件在从高精度传感到能量收集的许多应用中具有出色的优势。这种元件的基本非线性力学与其屈曲模式、几何参数和载荷条件密切相关。双曲梁的力-位移曲线可能包含一个位移极限点，该点不能很好地用常用的光滑三次函数来模拟，并且由于对双稳性的不正确预测而导致操作问题。基于大挠度有限元理论，对两端固支的柔性曲梁进行了非线性力学分析。采用多步位移加载方法，数值研究了材料的变形行为及其从对称模式到非对称模式的转变，揭示了材料的力-位移曲线和多条折断路径。进一步分析了结构参数对结构力学性能的影响，并引入了一个品质因子，用于识别不同加载条件下位移极限点的出现。最后，提出了一种实现单一光滑卡扣路径的方法，为柔性结构的设计和控制提供了理论依据。
Bistable compliant elements offer excellent advantages in many applications ranging from high precision sensing to energy harvesting. The essential nonlinear mechanics of such elements are strongly coupled with their buckling mode, geometric parameters, and loading conditions. The force–displacement plot of bistable curved beams could contain a displacement limit point, which cannot be well modeled by the commonly used smooth cubic function and would cause operational problems due to incorrect predictions of the bistability. In this technical brief, the nonlinear bistable mechanics of a compliant curved beam with both ends fixed is analyzed based on the large deflection finite element theory. By using the multistep displacement loading method, the deformation behaviors and their transition from symmetric to asymmetric modes are numerically studied, which provides insights into the force–displacement curve and the multiple snapping pathways. Furthermore, the influences of the structure parameters on bistable mechanics are analyzed, and a quality factor for identifying the occurrence of displacement limit points is introduced for different loading conditions. Finally, a method for achieving a single smooth snapping pathway is proposed, providing a theoretical basis to the design and control of the bistable compliant structures.