摘要
目的柔性铰链作为柔顺位移机构的基础构件,广泛应用于微位移领域,有必要研究新型柔性铰链及分析其微位移特性。方法提出了一种基于余弦函数的新型双轴柔性铰链,基于材料力学的理论,推导了双轴余弦柔性铰链转动柔度和拉伸刚度的计算公式。并运用有限元方法对推导的计算公式进行了分析研究,分析发现,转动柔度和拉伸刚度的有限元解与解析解的最大误差均在10%以内,验证了所推导公式的正确性。其次,探讨了结构参数对转动柔度和拉伸刚度的影响。结果最小厚度、切割深度和切割宽度与铰链的转动柔度与拉伸刚度并不完全呈现一样的变化趋势,研究表明,最小厚度对双轴余弦柔性铰链的影响最为敏感,其次是切割宽度,影响最小的是切割深度。结论最后对双轴余弦柔性铰链与双轴椭圆柔性铰链进行了对比分析,双轴余弦柔性铰链在转动能力和对载荷的敏感性要优于双轴椭圆柔性铰链。
Obiective As a fundamental component of compliant displacement mechanisms,flexible hinges are widely applied in micro-displacement applications.It is essential to develop novel flexible hinges and analyze their micro-displacement characteristics.Methods A biaxial cosine-shaped flexible hinge was proposed.Based on the theory of material mechanics,analytical formulas for rotational compliance and tensile stiffness were derived.Finite element analysis(FEA)validated these formulas,showing maximum errorsbetween numerical and analytical solutions within 10%.Structural parametereffects were systematically investigated.Results Minimum thickness,cutting depth and cutting width exhibited distinct correlations with rotational compliance and tensile stiffness.Sensitivity analysis revealed that minimum thickness had the most significant impact,followed by the cutting width,while cutting depth showed the least influence.Conclusion Compared to elliptical hinges,the cosine design demonstrates superior rotational ability and load sensitivity.
作者
王传礼
徐壮
解甜
张梦哲
WANG Chuangli;XU Zhuang;XIE Tian;ZHANG Mengzhe(School of Mechatronics Engineering,Anhui University of Science and Technology,Huainan Anhui 232001,China)
出处
《安徽理工大学学报(自然科学版)》
2025年第2期19-25,共7页
Journal of Anhui University of Science and Technology:Natural Science
基金
安徽省高校自然科学研究基金资助项目(KJ2021A0469)。
关键词
柔性铰链
转动柔度
拉伸刚度
有限元分析
flexible hinges
rotational compliance
tensile stiffness
finite element analysis
