柔顺杆大变形分析的A-T-S方法A-T-S analysis Method for Large-deformation Compliant Link
杨鹏飞,张学良,权诺,侯晓丹
摘要(Abstract):
柔顺机构是一种新型机构,其中杆状柔顺机构占据了很大的比重。对大变形杆状柔顺机构的设计和分析,关系到整个柔顺机构的设计成功率。将链式算法和二分法应用于柔顺杆分析中,依据角度等量递变原则对柔顺杆进行分段,每一段的相对转角相等而长度不等,运用一个刚杆和一个扭簧连接来近似替代此小段,进而依据力的平移定理推出了相邻两段之间的长度关系,据此计算传统柔顺杆各部分受力后的变形、位移、转角,并根据所得结果推导出柔顺杆各部分应变能分布情况,从而为柔顺杆大变形分析提供了一种新的方法。经过与传统椭圆积分进行对比,验证了此方法的可行性。
关键词(KeyWords): 柔顺杆;大变形;数值方法
基金项目(Foundation): 太原科技大学研究生科技创新基金(2015011020-1)
作者(Author): 杨鹏飞,张学良,权诺,侯晓丹
参考文献(References):
- [1]HAI-JUN SU.A load independent Pseudo-rigid-body 3R model for determining large deflection of beams in compliant mechanisms[C]//Information in Engineering Conference,USA,New York,2008.
- [2]HOWELL L L.Compliant mechanisms[M].New York:John Wiley&Sons,2001.
- [3]HOWELL L L,MIDHA A.Parametric deflection approximations for end loaded large deflection beams in compliant mechanisms[J].Transaction of the ASME,Journal of Mechanical Design,1995,117(3):156-165.
- [4]MIDHA A,HOWELL L L.Evaluation of equivalent spring stiffness for use in a pseudo-rigid-body model of large deflection compliant mechanisms[J].ASME Transactions,Journal of Mechanical Design,1996,118(1):126-131.
- [5]MIDHA A,HOWELL L L.A method for the design of compliant mechanism with small-length flexural pivots,ASME Transactions[J].Journal of Mechanical Design,1994,116(1):280-289.
- [6]SU Haijun.A pseudo-rigid-body 3R model for determining large deflection of cantilever beams subject to tip loads[J].Journal of Mechanisms and Robotics,2009(1):021008-1-9.
- [7]冯忠磊,余跃庆,王雯静.模拟柔顺机构中柔顺杆件末端特征的2R伪刚体模型[J].机械工程学报,2011,47(1):36-42.
- [8]HER A I,MIDHA A.Compliance Number Concept for Compliant Mechanisms and Type Synthesis[J].Transactions of the ASME.1987,109:348-355
- [9]MIDHA A,NORTON T W,HOWELL L L.On the Nomenclature,Classification,and Abstractions of Compliant Mechanisms[J].ASME Journal of Mechanical Design.1994,116(l):270-279
- [10]王英慧,王希云.一种求解二次模型信赖域子问题的Adams方法[J].太原科技大学学报,2016,37(1):72-76.
- [11]王英慧,王希云.一种求解二次模型信赖域子问题的Admas4隐式算法[J].太原科技大学学报,2016,37(5):406-411.
- [12]KOTA S.Synthesis of Planar,Compliant Four-Bar Mechanisms for Compliant-Segment Motion Generation[J].Journal of Mechanical Design.2001,123:535-541.