Kinetostatic analysis of 6-DOF compliant platform with a multi-stage condensed modeling method
Autor: | Shan Zheng, Mingdong Jiang, Chao Lin, Pingyang Li |
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Rok vydání: | 2020 |
Předmět: |
010302 applied physics
Computer science Structural mechanics Coordinate system Compliant mechanism Hinge Stiffness 02 engineering and technology 021001 nanoscience & nanotechnology Condensed Matter Physics 01 natural sciences Transfer matrix Finite element method Electronic Optical and Magnetic Materials Computer Science::Robotics Matrix (mathematics) Hardware and Architecture Control theory 0103 physical sciences medicine Electrical and Electronic Engineering medicine.symptom 0210 nano-technology |
Zdroj: | Microsystem Technologies. 27:2153-2166 |
ISSN: | 1432-1858 0946-7076 |
DOI: | 10.1007/s00542-020-05029-8 |
Popis: | Matrix displacement method, based on matrix operation without complex internal force analysis, gives accurate solutions and concise process for the kinetostatic analysis of the compliant mechanisms. However, there are some problems of tedious node numbering in the general matrix displacement method. In this paper, a multi-stage condensed modeling method is proposed to establish kinetostatic model for the compliant platform with complex configurations. Based on the matrix displacement method in structural mechanics and combining with the transfer matrix and coordinate transformation, the complex series–parallel configuration is subjected to multi-stage stiffness equivalent to obtain a concise input/output two-port mechanical network. Then, the proposed method is used to analyze the kinetostatic of the 6-degree-of-freedom (DOF) compliant platform. And a good prediction accuracy is shown by comparison with finite element analysis and experiment. Moreover, the results also show that the hinge thickness and the hinge spacing at the maximum amplification ratio of the bottom platform satisfies the linear condition, which provides implications for the design and optimization of the compliant mechanisms based on the bridge-type amplifiers. |
Databáze: | OpenAIRE |
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