椭圆型柔性铰链闭式扭转柔度研究

Aiming at the problem that the torsional compliance of variable rectangle cross-section (VRC) beams is difficult t oformulate, based on the existing equations for torsional compliance of rectangular cross-section beams and the use of calculus, a design form ulaused for deriving the closed-formtorsional compliance of VRC beams is obtained by using nonlinear curve fitting method, Which solves the problem of non-integrability or low-precision under integrable condition for torsional compliance of VRC beams. It is applied in analytical derivation of the equation for closed-form torsional compliance of elliptical flexure hinges. The closed-formsolutions are validated through the numerical examples and finite element simulations, and the effect of structural parameters on torsional compliance of flexure hinges is also analyzed. The results show that the analytical results are consistent with the numerical results, and the relative errors are smaller than 7.5% compared with the finite element results. When the width and minimum-thickness values of flexure hinges are relatively small, they have a larger impact on the torsional compliance, which lays a theoretical foundation for size optimization and structural design of VRC flexure hinges under torsion load.