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Free vibration of compliant mechanisms consisting of Euler-Bernoulli beams

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Advances in Mechanism and Machine Science (IFToMM WC 2019)

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 73))

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Abstract

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.

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Acknowledgement

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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Correspondence to Nikola Nesic .

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Nesic, N., Zentner, L. (2019). Free vibration of compliant mechanisms consisting of Euler-Bernoulli beams. In: Uhl, T. (eds) Advances in Mechanism and Machine Science. IFToMM WC 2019. Mechanisms and Machine Science, vol 73. Springer, Cham. https://doi.org/10.1007/978-3-030-20131-9_321

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