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含大变形柔顺杆的柔顺机构应变分析 被引量:4

Research on Strain of Compliant Mechanisms With Large Deflection Compliant Links
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摘要 为了描述含大变形柔顺杆的柔顺机构的动力学特性,需要建立其动力学模型。利用有限元法描述柔顺杆件的变形,根据Lagrange方程建立了含大变形柔顺杆的柔顺机构的动力学方程。在此基础上,推导了柔顺机构中大变形柔顺杆上任意一点的应变的算法,计入了应变中的非线性应变项——附加拉压应变。以平行导向柔顺机构为例,将理论计算结果与实验结果进行对比和分析,相互验证了实验系统和理论模型的有效性和正确性。 To obtain the dynamic characteristics of compliant mechanisms with large deflection compliant links, a dynamic model is proposed. The deformation of compliant links is formulated by using the finite element method, the dynamic equation of compliant mechanisms is developed based on Lagrange equation. Based on the proposed dynamic model of compliant mechanisms, an algorithm for calculating strain response of arbitrary point on compliant links is de- rived. Nonlinear terms of the strain are also reckoned in the algorithm. The experimental research on strain of compliant parallel -guiding mechanism is performed. The comparison between the experiment result and the theoretical result verifies the validity of the experiment system and theoretical model.
出处 《机械设计与研究》 CSCD 北大核心 2009年第3期33-36,共4页 Machine Design And Research
基金 国家自然科学基金资助项目(50875002) 北京市自然科学基金资助项目(3062004) 北京市教委科技发展计划项目(KM200610005003) 北京市教委人才强教拔尖人才项目(PHR(IHLB))
关键词 柔顺机构 有限元模型 动力学方程 应变 compliant mechanisms the finite element model dynamic equation strain
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参考文献7

  • 1Howell L L. Compliant Mechanisms[M]. New York: John Wiley & Sons, 2001.
  • 2Howell L L, Midha A. Evaluation of Equivalent Spring Stiffness For Use in a Pseudo-rigid-body Model of Large Deflection Compliant Mechanisms [J]. Transaction of the ASME, Journal of Mechanism in Design, 1996, 118(1) : 126 - 131.
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  • 4Lyon S M, Evans M S, Erickson P A, et al. Prediction of the First Modal Frequency of Compliant Mechanism Using the Pseudo-rigidbody Model[J]. Transaction of the ASME, Journal of Mechanism in Design, 1999, 121:309 -313.
  • 5Yu Yueqing, Howell L L, Yue Ying, et al. Dynamic Modeling of Compliant Mechanisms Based on the Pseudo-rigid-body Model [J]. Transaction of the ASME, Journal of Mechanism in Design,2005, 127:760 -765.
  • 6谢先海,廖道训.基于多刚体离散元模型的柔顺机构动力分析新方法[J].机械工程学报,2003,39(5):10-15. 被引量:15
  • 7王雯静,余跃庆,王华伟.柔顺机构频率特性分析[J].北京工业大学学报,2008,34(1):20-25. 被引量:5

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