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Mechanical Sciences An open-access journal for theoretical and applied mechanics
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Volume 7, issue 2
Mech. Sci., 7, 219-232, 2016
https://doi.org/10.5194/ms-7-219-2016
© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.
Mech. Sci., 7, 219-232, 2016
https://doi.org/10.5194/ms-7-219-2016
© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.

Research article 17 Nov 2016

Research article | 17 Nov 2016

Shape optimization and sensitivity of compliant beams for prescribed load-displacement response

Giuseppe Radaelli1,2 and Just L. Herder1 Giuseppe Radaelli and Just L. Herder
  • 1Dept. Precision and Microsystems Engineering, Delft University of Technology, 2628 CD Delft, the Netherlands
  • 2Laevo BV, 2628 CA Delft, the Netherlands

Abstract. This paper presents the shape optimization of a compliant beam for prescribed load-displacements response. The analysis of the design is based on the isogeometric analysis framework for an enhanced fidelity between designed and analysed shape. The sensitivities used for an improved optimization procedure are derived analytically, including terms due to the use of nonlinear state equations and nonlinear boundary constraint equations. A design example is illustrated where a beam shape is found that statically balances a pendulum over a range of 180° with good balancing quality. The analytical sensitivities are verified by comparison with finite difference sensitivities.

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