Abstract
In micro manufacturing the advantages of compliant mechanism—e.g. the high precision and the absence of friction—are particularly useful. However, the design process of appropriate compliant mechanisms is a complex task with a wide number of research areas to consider. This article addresses the challenging process of designing compliant mechanisms for feed units in small machine tools. Therefore a comprehensive design methodology for compliant mechanisms is developed and the corresponding tools are analysed. To generate an adequate topology a deeper look into the mechanical characteristics of compliant mechanism is carried out to achieve an efficient model of the mechanism in the final application. Subsequently, a control problem for optimising the trajectory of a prototype feed unit is developed and implemented. Based on these findings a comprehensive design methodology of new feed units with compliant mechanism is proposed. This methodology is applied to prototypes of feed units and the results are shown. Eventually, the manufactured feed unit is integrated in a small machine tool that is assembled of other modules which were developed within the research program.
Keywords
- Optimal Control Problem
- Sequential Quadratic Program
- Model Order Reduction
- Compliant Mechanism
- Master Node
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Lu, T.-F., Handley, D.C., Yong, Y.K.: A three-dof compliant micromotion stage with flexure hinges. Ind. Robot Int. J. 31(4), 355–361 (2007)
Choi, K.B.: Dynamics of a compliant mechanism based on flexure hinges. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 219(2), 225–235 (2005)
Howell, L.L., Midha, A.: A method for the design of compliant mechanisms with small-length flexural pivots. J. Mech. Des. 116(1), 280–290 (1994)
Li, Y., Xu, Q.: Adaptive sliding mode control with perturbation estimation and pid sliding surface for motion tracking of a piezo-driven micromanipulator. IEEE Trans. Control Syst. Technol. 18(4), 798–810 (2010)
Dirksen, F.: Dissertation zum Thema Topologieoptimierung und mechanische Eigenschaften von elastischen Festkrpergelenken. Helmut-Schmidt-Universitt/Universitt der Bundeswehr Hamburg, Fertigstellung voraussichtlich (2013)
Dirksen, F., Anselmann, M., Zohdi, T.I., Lammering, R.: Incorporation of flexural hinge fatigue-life cycle criteria into the topological design of compliant small-scale devices. Precis. Eng. 37(3), 531–541 (2013)
Dirksen, F., Lammering, R.: On mechanical properties of planar flexure hinges of compliant mechanisms. J. Mech. Sci 2, 109–117 (2011)
Rösner, M., Lammering, R.: Basic principles and aims of model order reduction in compliant mechanisms. Mech. Sci., 2(2), 197–204 (2011)
Rösner, M., Lammering, R: Model order reduction methods and their possible application in compliant mechanisms. Proc. Appl. Math. Mech. (2012)
Rösner, M., Lammering, R., Friedrich, R.: Dynamic modeling and model order reduction of compliant mechanisms. Precis. Eng. 42, 85–92 (2015)
Rösner, M.: Effiziente räumliche Modelle komplexer nachgiebiger Mechanismen auf Basis elastischer Festkörpergelenke. Ph.D. thesis, Helmut-Schmidt-Universität, Holstenhofweg 85, 22043 Hamburg (2015)
Friedrich, R., Lammering, R., Rösner, M.: On the modeling of flexure hinge mechanisms with finite beam elements of variable cross section. Precis. Eng. 38(4), 915–920 (2014)
Friedrich, R., Lammering, R., Heurich, T.: Nonlinear modeling of compliant mechanisms incorporating circular flexure hinges with finite beam elements. Precis. Eng. 42, 73–79 (2015)
Friedrich, R.: Modellierung und Optimierung nachgiebiger Mechanismen auf Basis elastischer Festkörpergelenke mit Hilfe von nichtlinearen Finiten Balkenelementen. Ph.D. thesis, Helmut-Schmidt-Universität, Holstenhofweg 85, 22043 Hamburg (2016)
Kong, N., Sanders, A., Wulfsberg, J.P.: On the design methodology of flexure-based compliant mechanisms by utilizing pseudo-rigid-body models with 3-dof joints. In: Proceedings of the 14th IFToMM World Congress, pp. 631–637. National Taiwan University (2015)
Rösner, M., Lammering, R.: Basic principles and aims of model order reduction in compliant mechanisms. Mech. Sci. 2(2), 197–204 (2011)
Heimann, B., Gerth, K., Popp, W.: Komponenten—Methoden—Beispiele. Hanser, Mechatronik (2007)
Kern, D., Rösner, M., Bauma, E., Seemann, W., Lammering, R., Schuster, T.: Key features of flexure hinges used as rotational joints. Forschung im Ingenieurwesen 77(3–4), 117–125 (2013)
Nocedal, J., Wright, S.J.: Numerical Optimization. Springer (2006)
Papageorgiu, M., Leibold, M., Buss, M.: Optimierung, 4th edn. Springer, Berlin, Heidelberg (2015)
Bauma, E., Schuster, T.: A novel hybrid method for optimal control problems and its application to trajectory optimization in micro manufacturing. In: Proceedings of the 4th International Conference on Engineering Optimization (2014)
Maurer, H.: On the minimum principle for optimal control problems with state constraints. Rechenzentrum der Universität Münster (1979)
Hartl, R.F., Sethi, S.P., Vickson, R.G.: A survey of the maximum principles for optimal control problems with state constraints. SIAM Rev. 37(2), 181–218 (1995)
Bryson, A.E., Ho, Y.-C.: Applied optimal control—optimization, estimation and control. Hemisphere Publishing Corporation (1975)
Kong, N., Grimske, S., Röhlig, B., Wulfsberg, J.P.:. Flexure based feed unit—a progress report. In: Proceedings of the 11th euspen International Conference. Como (2011)
Kong, N., Grimske, S., Röhlig, B., Wulfsberg, J.P.: Flexure based feed unit for long feed ranges: Concept and design. In: Proceedings of the 12th euspen International Conference. Stockholm (2012)
Kong, N., Friedrich, R., Grimske, S., Wulfsberg, J.P.: Design methodology for the realization of compliant mechanisms generated by topology optimization. In: Procedings of the 5th International Conference of Asian Society for Precision Engineering and Nanotechnology (ASPEN2013). Taipei (2013)
Wulfsberg, J.P., Lammering, R., Schuster, T., Kong, N., Rösner, M., Bauma, E., Friedrich, R.: A novel methodology for the development of compliant mechanisms with application to feed units. Prod. Eng. 7(5), 503–510 (2013)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
Kong, N. et al. (2017). Functional Integrated Feed-Units Based on Flexible Mechanisms in Small Machine Tools for Small Workpieces. In: Wulfsberg, J., Sanders, A. (eds) Small Machine Tools for Small Workpieces. Lecture Notes in Production Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-49269-8_11
Download citation
DOI: https://doi.org/10.1007/978-3-319-49269-8_11
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-49267-4
Online ISBN: 978-3-319-49269-8
eBook Packages: EngineeringEngineering (R0)