TY - JOUR
T1 - On the validity of compliance-based matrix method in output compliance modeling of flexure-hinge mechanism
AU - Wang, Jianjian
AU - Yang, Yang
AU - Yang, Ru
AU - Feng, Pingfa
AU - Guo, Ping
N1 - Funding Information:
The authors would like to acknowledge the support provided by the Innovation and Technology Fund, Hong Kong , grant #ITS/076/17 ; Shun Hing Institute of Advanced Engineering , The Chinese University of Hong Kong , # RNE-p4-17 ; and the start-up fund provided by McCormick School of Engineering , Northwestern University, Evanston, USA.
Publisher Copyright:
© 2019
PY - 2019/3
Y1 - 2019/3
N2 - Compliance-based matrix method (CMM) has been regarded as an efficient technique for output compliance modeling of the flexure hinge-based compliant mechanism, owing to its simplicity and high accuracy. However, this study demonstrates that CMM is not always valid due to the intrinsic ill-condition of the compliance matrix of right circular flexure hinge (RCFH). Inversion of compliance matrix can result in numerical instability in the calculation of its stiffness matrix. It is shown in this study that CMM can be effectively applied to serial compliant mechanism, while its adoption in modeling parallel compliant mechanism needs to be carefully examined due to the matrix inversion involved. The validity of CMM is highly dependent on the spatial configuration, degree of freedom, and singularity of the parallel mechanism. The validity criteria of CMM are discussed in detail with exemplary configurations of 3RRR, 2RR, and bridge-type compliant mechanisms.
AB - Compliance-based matrix method (CMM) has been regarded as an efficient technique for output compliance modeling of the flexure hinge-based compliant mechanism, owing to its simplicity and high accuracy. However, this study demonstrates that CMM is not always valid due to the intrinsic ill-condition of the compliance matrix of right circular flexure hinge (RCFH). Inversion of compliance matrix can result in numerical instability in the calculation of its stiffness matrix. It is shown in this study that CMM can be effectively applied to serial compliant mechanism, while its adoption in modeling parallel compliant mechanism needs to be carefully examined due to the matrix inversion involved. The validity of CMM is highly dependent on the spatial configuration, degree of freedom, and singularity of the parallel mechanism. The validity criteria of CMM are discussed in detail with exemplary configurations of 3RRR, 2RR, and bridge-type compliant mechanisms.
KW - Compliance-based matrix method
KW - Flexure hinge mechanism
KW - Ill-condition
KW - Output compliance
KW - Parallel mechanism
KW - Right circular flexure hinge
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U2 - 10.1016/j.precisioneng.2019.02.006
DO - 10.1016/j.precisioneng.2019.02.006
M3 - Article
AN - SCOPUS:85064072014
VL - 56
SP - 485
EP - 495
JO - Precision Engineering
JF - Precision Engineering
SN - 0141-6359
ER -