Optimal dispalcement amplification ratio of bridge-type compliant mechanism flexure hinge by using Taguchi method with grey relational analysis

Ngoc-Thai Huynh, Shyh-Chour Huang, Thanh-Phong Dao
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Abstract

Compliant mechanism flexure hinge was frequently utilized in precision enginering in recently years such as bridge-type and rhombus-type compliant mechanism. The previous study used approximation mathamatic model to estimate displacement amplification ratio. But the result of this investigations obtain displacement amplification ratio aproximatly 30. It identify so difficult to obtain maximum and precision value. Therefore, in this paper designed new model for bridge-type compliant flexure in SOLIDWORK. Displacment amplification ratio was calculated by using finite element method in ANSYS. The simualtion result reveal that ouput displacement increase from 0.506 mm to 0.648 mm when length of input body increase from 5 mm to 15 mm with thickness of flexure hinge of 0.3 mm and input displacement of 0.01 mm. The displacement amplifycation obtained from 50.6 to 64.8. concentration stress increase from 78.7 MPa to 101.5 MPa. Moreover, input incline angle between two flexure changes from 1.2 degree to 1.6 degree, with length of input body of 5 mm and the input displacement of 0.01 mm, output displacemt increases from 0.505 mm to 0.521 mm. The displacement amplification ratio obtained from 50.5 to 52.1 and concentration stress increased from 78.7 MPa to 80.16 MPa and then reduce to 74.19 MPa. The length of input body has significant effected while the incline angle between two flexure hinge from 1.2 degree to 1.6 degree has slightly effected on the displacement amplification of bridge-type compliant mechanism.
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采用灰色关联分析的田口法优化了桥式柔性机构柔性铰链的位移放大比
柔性机构柔性铰链是近年来在精密工程中常用的柔性机构,如桥式柔性机构和菱形柔性机构。以往的研究采用近似数学模型来估计位移放大比。但本研究结果得到位移放大比约为30。它的识别很难获得最大值和精度值。因此,本文在SOLIDWORK中设计了新的桥式柔性模型。在ANSYS中采用有限元法计算位移放大比。仿真结果表明,当输入体长度从5 mm增加到15 mm,柔性铰链厚度为0.3 mm,输入位移为0.01 mm时,输出位移从0.506 mm增加到0.648 mm。位移放大倍数从50.6增加到64.8。浓度应力由78.7 MPa增加到101.5 MPa。当输入体长度为5mm,输入位移为0.01 mm时,两挠度之间的输入倾斜角由1.2度变为1.6度,输出位移由0.505 mm增加到0.521 mm。位移放大比从50.5增大到52.1,集中应力从78.7 MPa增大到80.16 MPa,然后减小到74.19 MPa。输入体长度对桥式柔性机构的位移放大影响较大,而两个柔性铰链之间1.2 ~ 1.6度的倾角对位移放大影响较小。
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