An Energy Formulation for Parametric Size and Shape Optimization of Compliant Mechanisms

An Energy Formulation for Parametric Size and Shape Optimization of Compliant Mechanisms
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DOI:
10.1115/1.2829448
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发表时间:
1999-06
影响因子:
3.3
通讯作者:
J. Hetrick;S. Kota
J. Hetrick;S. Kota
中科院分区:
工程技术3区
文献类型:
--
作者:
J. Hetrick;S. Kota

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柔性机构是利用弹性变形实现力或运动转换的无接头机械装置。拓扑优化技术的发展是柔性机构自动化设计的重要一步。下一个合乎逻辑的步骤是将尺寸和形状优化,同时考虑实际的设计规格,如运动和应力约束,以执行尺寸合成的机制。基于线性静态柔顺机构的能量吞吐量最大化的改进的目标制定考虑特定的力和位移的操作要求。参数化有限元梁模型用于执行尺寸和形状优化。该技术允许应力约束来限制机构中的最大应力。此外,限制机构的运动学的约束成功地应用于优化问题。优化后的机构具有高效的机械传动能力,满足运动学和应力要求。通过算例验证了优化方法的有效性。
Compliant mechanisms are jointless mechanical devices that take advantage of elastic deformation to achieve a force or motion transformation. An important step toward automated design of compliant mechanisms has been the development of topology optimization techniques. The next logical step is to incorporate size and shape optimization to perform dimensional synthesis of the mechanism while simultaneously considering practical design specifications such as kinematic and stress constraints. An improved objective formulation based on maximizing the energy throughput of a linear static compliant mechanism is developed considering specific force and displacement operational requirements. Parametric finite element beam models are used to perform the size and shape optimization. This technique allows stress constraints to limit the maximum stress in the mechanism. In addition, constraints which restrict the kinematics of the mechanism are successfully applied to the optimization problem. Resulting optimized mechanisms exhibit efficient mechanical transmission and meet kinematic and stress requirements. Several examples are given to demonstrate the effectiveness of the optimization procedure.