Free vibration of compliant mechanisms consisting of Euler-Bernoulli beams

  • Nikola NesicEmail author
  • Lena Zentner
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 73)


This paper presents methodology for computation of vibration frequency of compliant mechanism consisting of thin elastic beam segments. Beams are of different cross-sections and each of them is modeled using Euler-Bernoulli beam theory. Joints are modeled with smaller thin beams while segments are represented using larger thin beams. Transfer matrix method is ap-plied for analytical calculation of vibration frequencies. An example of mechanism with two segments and one joint is given. Analytical results are compared with experimental and numerical results obtained using commercial finite element software.


vibration frequency compliant mechanism transfer matrix method experiment finite elements 


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This research is supported by DAAD Ostpartnershaft program in Germany and by the Ministry of Education, Science and Technological Development of Serbia (Grant no. OI174001).


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Mathematical Institute of the Serbian Academy of Science and ArtsBeogradSerbia
  2. 2.Technische Universität Ilmenau, Department of Mechanical Engineering, Compliant Systems GroupIlmenauGermany

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