<p>Aiming at the problems of limited single angular travel of precision reflector platform(PRP) and low amplification ratios of bridge-type mechanism(BTM) under small size constraints,this paper investigates the effect of flexure hinge inclination angle on BTM’s amplification ratio via finite element analysis to determine the optimal hinge layout. Based on this layout, an optimized BTM (OBTM) is proposed with elliptical perforated flexure hinges and dual-stage design. A compact PRP with three angular travels is then designed using the OBTM, modeled and analyzed by the compliance matrix method and force balance principle. Finite element analysis results show that OBTM’s amplification ratio and output stiffness errors are both less than 7<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\%\)</EquationSource> </InlineEquation>, with 53.9<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\%\)</EquationSource> </InlineEquation> improved amplification performance. Prototype testing indicates the PRP’s three angular travels are 0.98, 1.94 and 3.10 mrad. Its dynamic absolute coupling errors at 10 Hz are 13.6, 16.1 and 20.1 <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\mu \)</EquationSource> </InlineEquation>rad, and the dynamic relative coupling error is less than 2<InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\%\)</EquationSource> </InlineEquation>. The results demonstrate the PRP achieves large angular travel and good decoupling performance while maintaining compact size.</p>

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Design of a Precision Reflector Platform with Three Angular Travels using Optimized Bridge-Type Mechanisms

  • Siqi Cui,
  • Ye Zhou,
  • Chuan Wu,
  • Jinqiang Gan

摘要

Aiming at the problems of limited single angular travel of precision reflector platform(PRP) and low amplification ratios of bridge-type mechanism(BTM) under small size constraints,this paper investigates the effect of flexure hinge inclination angle on BTM’s amplification ratio via finite element analysis to determine the optimal hinge layout. Based on this layout, an optimized BTM (OBTM) is proposed with elliptical perforated flexure hinges and dual-stage design. A compact PRP with three angular travels is then designed using the OBTM, modeled and analyzed by the compliance matrix method and force balance principle. Finite element analysis results show that OBTM’s amplification ratio and output stiffness errors are both less than 7 \(\%\) , with 53.9 \(\%\) improved amplification performance. Prototype testing indicates the PRP’s three angular travels are 0.98, 1.94 and 3.10 mrad. Its dynamic absolute coupling errors at 10 Hz are 13.6, 16.1 and 20.1 \(\mu \) rad, and the dynamic relative coupling error is less than 2 \(\%\) . The results demonstrate the PRP achieves large angular travel and good decoupling performance while maintaining compact size.