Abstract
Compliant mechanisms have several advantages, especially smaller number of elements and therefore less movable joints. The flexural members furthermore allow an integration of special functions like balancing or locking. To take advantage of compliant elements in applications a robust synthesis tool is needed. This demand fulfills a geometrical approach (Ehlig et al. in Mechanisms, transmissions and applications. Springer, Heidelberg, 2013, [1]) concentrating on solving guidance tasks by RR-chain (one link with two rotational joints (R).) based compliant linkages with maximum design freedom within the installation space. This step-by-step synthesis procedure is extended to PR (one link with one frame fixed prismatic joint (P) and one moving rotational joint (R).)/RP (one link with one frame fixed rotational joint (R) and one moving prismatic joint (P).)-chain based compliant linkages. The necessary analysis of the compliant beam element can be done by numerical analysis as well as through experiments and the elastic similitude. The synthesis method is presented and discussed by using an application for a cup holder mechanism made of fibre reinforced material and comparing this results to the result given in (Ehlig et al. in Mechanisms, transmissions and applications. Springer, Heidelberg, 2013, [1]).
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References
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Acknowledgments
The authors would like to express their gratitude towards the Deutsche Forschungsgemeinschaft (DFG), which supports this research within the scope of the subproject D2 of the Collaborative Research Centre SFB 639 “Textile-Reinforced Composite Components in Function-Integrating Multi-Material Design for Complex Lightweight Applications”.
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Appendix
Appendix
Using graphical synthesis methods it is useful to name links with small letters and joints/poles as big letters. Motions are defined by link positions and the reference link from where this movement is measured. Handling definite positions we have to deal with link pairs and position pairs. Therefore all kinematic symbols are marked with indices \( P_{12}^{af} \) (\( af: \) link index → a moves in reference to b; 12 pose index → position 1 moves to position 2). This nomenclature leads to the rules given in Fig. 8.
Rules and nomenclature for the graphical synthesis demonstrated at a two pose RR-chain example
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Hanke, U., Lovasz, EC., Zichner, M., Modler, N., Comsa, A., Modler, KH. (2015). Synthesis of PR/RP-Chain Based Compliant Mechanisms: Design of Applications Exploiting Fibre Reinforced Material Characteristics. In: Flores, P., Viadero, F. (eds) New Trends in Mechanism and Machine Science. Mechanisms and Machine Science, vol 24. Springer, Cham. https://doi.org/10.1007/978-3-319-09411-3_78
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DOI: https://doi.org/10.1007/978-3-319-09411-3_78
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