2-DOF并联柔性结构微动平台的新构型及尺寸优化
发布时间：2019-06-19 10:34
【摘要】：为了获得具有良好静、动态特性的2-DOF并联柔性结构微动平台,在给出平台新构型的基础上,对其进行尺寸优化设计.基于Stewart并联机构思想并对其进行相应的结构改变,设计出了具有对称双圆弧薄板式弹性单元体的2-DOF并联柔性结构微动平台新构型.采用悬臂曲梁变形理论给出了平台各方向的刚度表达式,进而通过加权组合法建立了综合考虑各方向刚度的平台尺寸优化的统一目标函数;采用序列二次规划(SQP)法对所建立的数学模型进行了求解.通过实验测试了优化平台与未优化平台的静、动态特性,结果表明:在150 V驱动电压作用下,优化平台x、y方向的位移分别为22.98μm、23.15μm,满足设计要求;优化平台x、y、z方向的固有频率分别为1.731 k Hz、1.722 k Hz、1.725 k Hz,在各方向的动态特性更加均衡;在50 N阶跃输入力作用下,优化平台x、y方向的响应时间分别为18 ms、20 ms,明显快于未优化平台.
[Abstract]:In order to obtain the fretting platform of 2-DOF parallel flexible structure with good static and dynamic characteristics, the size optimization design of the platform is carried out on the basis of giving the new configuration of the platform. Based on the idea of Stewart parallel mechanism and the corresponding structural changes, a new configuration of 2-DOF parallel flexible structure fretting platform with symmetric double circular arc thin plate elastic element is designed. The stiffness expression of each direction of the platform is given by using the deformation theory of cantilever curved beam, and then the unified objective function of platform size optimization considering stiffness in each direction is established by weighted combination method, and the mathematical model is solved by sequential quadratic programming (SQP) method. The static and dynamic characteristics of the optimized platform and the unoptimized platform are tested by experiments. The results show that the displacement in the y direction of the optimized platform x is 22.98 渭 m and 23.15 渭 m respectively under the action of 150V driving voltage, which meets the design requirements, and the natural frequency of the optimized platform x is 1.731 k Hz,1.722 k Hz,1.725 k Hz, in all directions. Under the action of 50 N step input force, the response time in y direction of the optimization platform x is 18 ms,20 ms, which is significantly faster than that of the unoptimized platform.
【作者单位】： 宁波大学机械工程与力学学院;
【基金】：国家自然科学基金(51175271) 教育部留学回国人员科研启动基金 浙江省高等学校中青年学科带头人学术攀登项目(pd2013091)
【分类号】：TH112
，
本文编号：2502281
[Abstract]:In order to obtain the fretting platform of 2-DOF parallel flexible structure with good static and dynamic characteristics, the size optimization design of the platform is carried out on the basis of giving the new configuration of the platform. Based on the idea of Stewart parallel mechanism and the corresponding structural changes, a new configuration of 2-DOF parallel flexible structure fretting platform with symmetric double circular arc thin plate elastic element is designed. The stiffness expression of each direction of the platform is given by using the deformation theory of cantilever curved beam, and then the unified objective function of platform size optimization considering stiffness in each direction is established by weighted combination method, and the mathematical model is solved by sequential quadratic programming (SQP) method. The static and dynamic characteristics of the optimized platform and the unoptimized platform are tested by experiments. The results show that the displacement in the y direction of the optimized platform x is 22.98 渭 m and 23.15 渭 m respectively under the action of 150V driving voltage, which meets the design requirements, and the natural frequency of the optimized platform x is 1.731 k Hz,1.722 k Hz,1.725 k Hz, in all directions. Under the action of 50 N step input force, the response time in y direction of the optimization platform x is 18 ms,20 ms, which is significantly faster than that of the unoptimized platform.
【作者单位】： 宁波大学机械工程与力学学院;
【基金】：国家自然科学基金(51175271) 教育部留学回国人员科研启动基金 浙江省高等学校中青年学科带头人学术攀登项目(pd2013091)
【分类号】：TH112
，
本文编号：2502281
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