Kinetostatic analysis of 6-DOF compliant platform with a multi-stage condensed modeling method

Autor: Shan Zheng, Mingdong Jiang, Chao Lin, Pingyang Li
Rok vydání: 2020
Předmět:
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