Theoretical, numerical, and experimental investigation on the compliance and natural frequency of sinusoidal flexure hinges

Abstract To design a flexure hinge with high precision and natural frequency, the sinusoidal is proposed in this article. First, formulae for compliance factors of were derived based on Euler–Bernoulli beam theory Gauss–Legendre quadrature formula. The frequency was also investigated transfer matrix method. Compared simulation results ANSYS Workbench, show that modeling error less than 6.7%. Second, influence structural parameters compliance, factor, ratio, analyzed. are often contradictory, minimum thickness significantly influences hinge's performance. conic hinges terms precision, ratios, have better comprehensive Finally, manufactured, measured. experimental between value 7.8%. Both verify effectiveness model.