A beam composed of serially connected flexible segments can definitely diversify the option of components for the design of compliant mechanisms. Although the static deflection of such a beam can be considered as the superposition of the deflections of all segments, there is still a lack of available modeling methods due to the comprehensive interactions. This paper presents a method for modeling the static deflection of combined flexible beams (CFBs) composed of either straight or circular-arc segments. By deriving the deflection model of a flexible segment using the elliptic integral solution, an iterative approach is proposed for the deflection analysis of the CFB under the action of combined loads. Then, taking the CFB composed of two straight and one circular-arc segments as an example, the numerical simulation and experimental study are carried out to verify the effectiveness of the derived model. The results show its capability of accurately predicting the tip deflection of the beam.

由串联连接的柔性段组成的梁绝对可以使用于顺应性机构设计的组件选项多样化。尽管可以将这种梁的静态挠度视为所有节段挠度的叠加，但是由于全面的相互作用，仍然缺乏可用的建模方法。本文提出了一种对由直线或圆弧段组成的组合柔性梁（CFB）的静态挠度进行建模的方法。通过利用椭圆积分解推导挠性管段的挠度模型，提出了一种在组合荷载作用下CFB挠度分析的迭代方法。然后，以由两个直线段和一个圆弧段组成的CFB为例，进行了数值模拟和实验研究，验证了该模型的有效性。结果表明其能够准确预测光束的尖端偏转。