On the Synthesis of Periodic Linkages with a Specific Constant Poisson’s Ratio

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Advances in Mechanism and Machine Science (IFToMM WC 2019)

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Abstract

Poisson’s ratio is one of the most studied material proper- ties that can be designed in mechanical metamaterials. However, in most studies so far, Poisson’s ratio is not constant for larger compressions. Only for structures in which ν = 1, structures with a constant Poisson’s ratio have been demonstrated. This paper studies the design of planar mechanical metamaterials with a constant Poisson’s ratio based on the pantograph, inversor, straight-line and parabolograph mechanisms. Using these classical mechanisms as building blocks, periodic mechanisms with \( v = - 1,\frac{ - 1}{2} \), 0 and 1 are proposed.

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Correspondence to F. G. J. Broeren .

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Broeren, F.G.J., Herder, J.L., van der Wijk, V. (2019). On the Synthesis of Periodic Linkages with a Specific Constant Poisson’s Ratio. 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_25

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