| Citation: | GONG Jinliang, ZHENG Yangyang, ZHANG Yanfeiet al. Stiffness modeling of micro-positioning platform considering unit interface relevance characteristics[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(1): 10-17. doi: 10.13700/j.bh.1001-5965.2016.0972(in Chinese)
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A parallel micro-positioning platform with folded beams was designed, which has characteristics of large stroke and low resistance. Stiffness was solved by transfer matrix method. First, transfer matrix of flexible subunit was established. The transitivity characteristics became available by taking advantage of the common node belonging to adjacent elements. Finally, the stiffness matrix between input force and output displacement of flexible mechanism was solved according to the force balance equation and compatibility equation of deformation. A method to solve the stiffness of compliant folded beam and compliant prismatic pair considering full flexibility was put forward. The result of deformation error is less than 20.5% compared with finite element analysis. On this basis, this method ignored the correlation between the subunits because the modular stiffness analysis method regarded each subunit as independent. A modified method considering each subunit dependency was put forward, which reduced the error to less than 10% and made the results better meet the actual engineering needs.
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