Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 485-495 |
| Number of pages | 11 |
| Journal | Precision Engineering |
| Volume | 56 |
| DOIs | |
| State | Published - Mar 2019 |
Funding
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.
Keywords
- Compliance-based matrix method
- Flexure hinge mechanism
- Ill-condition
- Output compliance
- Parallel mechanism
- Right circular flexure hinge
ASJC Scopus subject areas
- General Engineering