China Mechanical Engineering ›› 2010, Vol. 21 ›› Issue (8): 917-919,925.

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Study on Equivalent Stiffness of a Flexure Hinge and Its Application in Micro-displacement Compliant Mechanism

Liu Qingling1,2;Weng Haishan1;Qiu Lifang1

  1. 1.University of Science and Technology Beijing,Beijing,100083
    2.Langfang Normal College,Langfang,Hebei,065000
  • Online:2010-04-25 Published:2010-05-05
  • Supported by:
    National Natural Science Foundation of China(No. 50805008)



  1. 1.北京科技大学,北京,100083
  • 基金资助:
    National Natural Science Foundation of China(No. 50805008)


The equivalent stiffness k of a variable cross section flexure hinge was researched.The paper presented two methods about calculating the equivalent stiffness k.One was named as the correcting coefficient method, the other was named as variable cross section method. Though examples, the results of the two methods are quiet close to each other and the variable cross section method is simpler and genericer than that of correcting coefficient method. The variable cross section method was used to calculate the equivalent stiffness k of the flexure hinge in compliant micro-displacement amplification mechanism,the compliant mechanism was analysed and the input displacement, output displacement and the amplification ratio were calculated under different forces.The results are contrasted with that of the finite element simulation, the similar results are obtained,which indicates the validity of the variable cross section method.

Key words: flexure hinge, variable cross section, equivalent stiffness, micro-displacement amplification mechanism




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