Analytical modeling and analysis of rhombus-type amplifier based on beam flexures
Analytical modeling and analysis of rhombus-type amplifier based on beam flexures
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基于梁弯曲的菱形放大器解析建模与分析
DOI：
10.1016/j.mechmachtheory.2019.04.015
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发表时间：
2019-09-01
影响因子：
5.2
通讯作者：
Zhao, Chenxi
中科院分区：
文献类型：
--
作者：
Li, Yongzhen;Bi, Shusheng;Zhao, Chenxi
为了准确地揭示运动学特性，不能忽略与柔性元件的偏转相关的负载平衡方程的非线性，特别是对于分布式柔顺机构。本文的目的是提出一种基于梁弯曲的菱形放大器的非线性分析模型，并评估力的影响，从而为初始参数化设计研究提供帮助。基于波束约束模型(BCM)，分别建立了一级和两级菱形放大器的非线性解析模型，并给出了一些允许的近似值。然后，分别建立输入刚度和离轴刚度模型，并进行刚度特性分析。此外，还进行有限元分析（FEA）来评估不同参数的模型在不同力作用下的响应。最后进行了性能实验研究，并将实验结果与理论模型和有限元分析结果进行了比较。准确地揭示了位移、放大比和输入刚度方面的非线性行为，并解释了两级放大器的放大比与期望值不同的原因。 (C) 2019 Elsevier Ltd. 保留所有权利。
In order to accurately reveal the kinematic characteristics, the nonlinearities of load-equilibrium equations associated with the deflection of the flexible elements cannot be neglected, especially for the distributed-compliance compliant mechanisms. The object of this paper is to present a nonlinear analytical model of rhombus-type amplifier based on the beam flexures and to evaluate the effect of forces so as to offer helpful for initial parametric design studies. Based on the beam constraint model (BCM), the nonlinear analytical models of the one-stage and two-stage rhombus-type amplifiers are established respectively with some permissible approximations. Then, the input stiffness and off-axis stiffness models are formulated respectively, and the stiffness characteristic analysis is also carried out. Additionally, finite element analysis (FEA) is conducted to evaluate responses of the model with various parameters under the action of different forces. Finally, experimental studies of the performances are carried out, and the experimental results are compared with the theoretical models and FEA results. The nonlinear behaviors in the displacement, amplification ratio and input stiffness are revealed accurately, and the reason why the amplification ratio of the two-stage amplifier is different from the expected value is explained. (C) 2019 Elsevier Ltd. All rights reserved.