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Date of download: 12/15/2017 Copyright © ASME. All rights reserved.

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1 Date of download: 12/15/2017 Copyright © ASME. All rights reserved. From: Bistable Compliant Mechanisms: Corrected Finite Element Modeling for Stiffness Tuning and Preloading Incorporation J. Mech. Des. 2012;134(8): doi: / Figure Legend: Configuration and definition of geometry parameters of the bistable straight-guided buckling beams (left half) for (a) case I and (b) case II. The beams have a very small curvature (1/R); the end tips are fixed at an initial angle (θ(r)); in the center (right at the figure) the beams are constraint in x-translation and rotation about z-axis; for preloading effects (case II) the beams are preloaded over a distance (u) along the x-axis; the beams are loaded with a y-displacement (δ) in the center.

2 Date of download: 12/15/2017 Copyright © ASME. All rights reserved. From: Bistable Compliant Mechanisms: Corrected Finite Element Modeling for Stiffness Tuning and Preloading Incorporation J. Mech. Des. 2012;134(8): doi: / Figure Legend: Deformated shape of the bistable straight-guided buckling beams for case II: with initially straight beams (without curvature) the deformed shape converged into a higher buckling mode (dotted); with a small curvature in the initial beams the deformed shape has the right solution (dashed)

3 Date of download: 12/15/2017 Copyright © ASME. All rights reserved. From: Bistable Compliant Mechanisms: Corrected Finite Element Modeling for Stiffness Tuning and Preloading Incorporation J. Mech. Des. 2012;134(8): doi: / Figure Legend: Typical behavior of the force–displacement characteristic of a bistable mechanism; point a is the first stable point; at point b, the force exerted on the mechanism is at its maximum; point c is the unstable equilibrium position, where the bistable mechanism snaps and produces a force in the same direction as the travel range; this force is the largest at point d; point e is the second stable position of the beams; the area of the curve for Fpos and Fneg is the energy needed to put in the mechanism (Ein) or the energy produced by the mechanism (Eout), respectively

4 Date of download: 12/15/2017 Copyright © ASME. All rights reserved. From: Bistable Compliant Mechanisms: Corrected Finite Element Modeling for Stiffness Tuning and Preloading Incorporation J. Mech. Des. 2012;134(8): doi: / Figure Legend: Flow chart of the subsequent transient analysis; the data of the preloaded initial shape (time interval 1) are used to solve the analysis for the deformed structure (time interval 2); the data of the deformed structure together with the prescribed displacement give the final results

5 Date of download: 12/15/2017 Copyright © ASME. All rights reserved. From: Bistable Compliant Mechanisms: Corrected Finite Element Modeling for Stiffness Tuning and Preloading Incorporation J. Mech. Des. 2012;134(8): doi: / Figure Legend: Top view of the measurement set-up: The force–displacement characteristic of mechanisms was determined by measuring actuation force (Fact) and displacement (Xact) from relaxed position to the second stable position and vice versa; the angle and preloading were adjusted by a rotational stage mounted on a linear stage

6 Date of download: 12/15/2017 Copyright © ASME. All rights reserved. From: Bistable Compliant Mechanisms: Corrected Finite Element Modeling for Stiffness Tuning and Preloading Incorporation J. Mech. Des. 2012;134(8): doi: / Figure Legend: Results of the experiments and the ANSYS™ simulations for three typical cases: (1) with initial curvature (solid), (2) without initial curvature (dashed), (3) with initial curvature and preloading (dotted)

7 Date of download: 12/15/2017 Copyright © ASME. All rights reserved. From: Bistable Compliant Mechanisms: Corrected Finite Element Modeling for Stiffness Tuning and Preloading Incorporation J. Mech. Des. 2012;134(8): doi: / Figure Legend: Results of the evaluation ratios determined with ANSYS™ analysis for varying the preloading in case II, normalized to the largest value of each ratio


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