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基于非均匀有理B样条曲线的锥形桥式位移放大机构建模与分析

Modeling and Analysis of a Conical Bridge-Type Displacement Amplification Mechanism Using the Non-Uniform Rational B-Spline Curve.

作者信息

Wang Mingze, Zhang Cheng, Liu Shutian, Wang Xiaoli

机构信息

State Key Laboratory of Structural Analysis, Optimization and CAE Software for Industrial Equipment, Dalian University of Technology, Dalian 116024, China.

出版信息

Materials (Basel). 2023 Sep 11;16(18):6162. doi: 10.3390/ma16186162.

DOI:10.3390/ma16186162
PMID:37763440
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10532709/
Abstract

This paper presents a new analytical model of a conical bridge-type displacement amplification mechanism (DAM) considering the effect of external loads and a piezostack actuator (PSA). With the merits of simple implementation and better fitting, the non-uniform rational B-spline (NURBS) is employed to parameterize conical connecting beams of the DAM, and an analytical model of the displacement amplification ratio and input stiffness is established based on Castigliano's second theorem. After that, considering the interactions with elastic loads and PSA, the actual displacement amplification ratio of the conical DAM is obtained, and the effect of the shape of connecting beams in the performance of the DAM is further analyzed. The proposed analytical model is verified by finite element analysis (FEA), and the results show a maximum error of 6.31% between the calculated value and FEA results, demonstrating the accuracy of the proposed model. A prototype of the conical DAM with optimized shape is fabricated and experimentally tested, which further validates the effectiveness and accuracy of the proposed analytical model. The proposed model offers a new method for analysis and shape optimization of the bridge-type DAM under specific elastic loads.

摘要

本文提出了一种考虑外部载荷和压电叠堆致动器（PSA）影响的锥形桥式位移放大机构（DAM）的新分析模型。鉴于非均匀有理B样条（NURBS）具有实现简单和拟合效果更好的优点，采用其对DAM的锥形连接梁进行参数化，并基于卡斯蒂利亚诺第二定理建立了位移放大比和输入刚度的分析模型。在此之后，考虑与弹性载荷和PSA的相互作用，得到了锥形DAM的实际位移放大比，并进一步分析了连接梁形状对DAM性能的影响。通过有限元分析（FEA）对所提出的分析模型进行了验证，结果表明计算值与FEA结果之间的最大误差为6.31%，证明了所提模型的准确性。制作了具有优化形状的锥形DAM原型并进行了实验测试，这进一步验证了所提出分析模型的有效性和准确性。所提模型为特定弹性载荷下桥式DAM的分析和形状优化提供了一种新方法。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bbe5/10532709/b2d50e051dc4/materials-16-06162-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bbe5/10532709/8bcefe7cde55/materials-16-06162-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bbe5/10532709/886a38e65f60/materials-16-06162-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bbe5/10532709/2e9a35fedce3/materials-16-06162-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bbe5/10532709/f4e6bf49f2e6/materials-16-06162-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bbe5/10532709/07b274e8a529/materials-16-06162-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bbe5/10532709/13e84114fe0f/materials-16-06162-g006a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bbe5/10532709/c78653c6ef81/materials-16-06162-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bbe5/10532709/1872665f321e/materials-16-06162-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bbe5/10532709/b2d50e051dc4/materials-16-06162-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bbe5/10532709/8bcefe7cde55/materials-16-06162-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bbe5/10532709/886a38e65f60/materials-16-06162-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bbe5/10532709/2e9a35fedce3/materials-16-06162-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bbe5/10532709/f4e6bf49f2e6/materials-16-06162-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bbe5/10532709/07b274e8a529/materials-16-06162-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bbe5/10532709/13e84114fe0f/materials-16-06162-g006a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bbe5/10532709/c78653c6ef81/materials-16-06162-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bbe5/10532709/1872665f321e/materials-16-06162-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bbe5/10532709/b2d50e051dc4/materials-16-06162-g009.jpg

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