| 夏道朋， 赖磊捷.考虑横力弯曲的直角柔性铰链单元的力学特性[J].轻工机械,2018,36(6):20-24 |
| 考虑横力弯曲的直角柔性铰链单元的力学特性 |
| Mechanical Properties of Right Angle Flexure Hinge Unit Considering Transverse Force Bending |
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| DOI：10.3969/j.issn.1005 2895.2018.06.005 |
| 中文关键词: 直角柔性铰链单元 弹性力学 横力弯曲 整体刚度矩阵 柔度矩阵 |
| 英文关键词:right angle flexure hinge unit elastic mechanics transverse force bending overall stiffness matrix flexibility matrix |
| 基金项目:国家自然科学基金项目（51605275） |
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| 摘要点击次数: 1647 |
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| 中文摘要: |
| 为了深入分析平面上受复合载荷作用的直角柔性铰链单元的力学特性，运用弹性力学方法推出了柔性铰链自由端在横向载荷和弯矩作用下的位移；基于理想弹性体的小变形假设，通过叠加法求得柔性铰链自由端总的位移，并由此得到柔性铰链的柔度矩阵；推出了直角柔性铰链单元两端位移都不为零时的整体刚度矩阵。通过有限元分析验证，当横向载荷作用于柔性铰链自由端时，由于考虑了剪切力对位移的影响，文中推出的直角柔性铰链的柔度具有较高的精确度，特别是当柔性铰链的高度与长度之比大于1/5时，相比材料力学解精确度更高, 这对于直角柔性铰链的深入研究和实际应用都有一定的参考价值。 |
| 英文摘要: |
| For right angle flexure hinge unit under compound loads on the plane, in order to analyze its mechanical properties，displacement of the free end of flexure hinge under transverse load and bending moment was obtained by using the elastic mechanics method. From the hypothesis of micro deformation of ideal elastic body, total displacement of the free end of flexure hinge was obtained by the superposition method, and the flexibility matrix of flexure hinge be obtained. The overall stiffness matrix was introduced when the displacements of right angle flexure hinge unit were not zero at both ends. Through finite element simulation, it is verified that when the transverse load acts on the free end of the flexure hinge, due to the influence of shear force on the displacement of flexure hinge, accuracy of the flexibility of right angle flexure hinge introduced in this paper is very high. Especially when the ratio of height to length of flexure hinge is greater than 1/5, the analytical solution in this paper is more accurate than the material mechanics solution. This paper provides a certain reference for further study of the mechanical properties and practical application of right angle flexure hinge. |
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