Influence of geometric scaling on the elasto-kinematic properties of flexure hinges and compliant mechanisms. (July 2018)

• Record Type: Journal Article
• Authors: Linß, Sebastian; Gräser, Philipp; Räder, Thomas; Henning, Stefan; Theska, René; Zentner, Lena
• Is Part Of: Mechanism and machine theory. Volume 125(2018)
• Page Start: 220
• Page End: 239
• Publication Date: 2018-07
• Subjects: Compliant mechanism -- Flexure hinge -- Geometric scaling -- Stiffness -- Deflection -- Precision; Machine theory -- Periodicals; Machinery -- Periodicals; Machines -- Périodiques; Génie mécanique -- Périodiques; Machine theory; Machinery; Periodicals; 621.81
• DOI: 10.1016/j.mechmachtheory.2018.03.008
• Languages: English
• ISSNs: 0094-114X

Abstract

Highlights: Flexure hinges based on notches and compliant mechanisms are investigated. The influence of geometric scaling on the elasto-kinematic properties is presented. Semi-circular, corner-filleted and special polynomial contours are considered. Analytical, simulative and experimental methods are used. The summarized property change ratios can be used for compliant mechanism design. Abstract: Flexure hinges with notches are typical elements in high-precision compliant mechanisms with a wide variety of sizes from macro to micro or nano applications. This paper investigates the elasto-kinematic hinge and mechanism properties in dependence of scaling the geometric parameters regarding the impact of using optimized flexure hinge contours within a unified synthesis method without the need of rerunning simulations. The three performance criteria stiffness, maximum strain, and precision are analyzed among others for a single symmetric flexure hinge and a parallel four-bar linkage. The analytical investigations and FEM simulations include semi-circular, corner-filleted, and special 6 th -order polynomial hinge contours. Accordingly, the chosen rigid-body model is transferred into a compliant mechanism through replacing all revolute joints by notch hinges. Geometric scaling is investigated with a parametric non-linear FEM model for factors from 0.1 to 2. To obtain results for comparable relative hinge angles, the defined input displacement is scaled too. Three prototypes are tested to verify the simulations and to validate the influence of scaling by measurement. In addition to general scale dependencies of the properties it is shown, that optimized flexure hinge contours are promising for miniaturized compliant mechanisms with high precision and large stroke at once.