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Solutions to large beam-deflection problems by Taylor series and Padé approximant for compliant mechanisms.
- Source :
-
Mechanism & Machine Theory . Nov2022, Vol. 177, pN.PAG-N.PAG. 1p. - Publication Year :
- 2022
-
Abstract
- Compliant Mechanisms (CMs) serve as a promising alternative for transferring motion, force and energy compared to rigid mechanisms. The mentioned desired function is achieved by making the most of the elastic deflection of all built-in flexible members in CMs, such as slender straight beams and slender initially curved beams (ICBs). Therefore, accurately characterizing the deformation of these slender beams plays a considerable role in modeling CMs. As is well-known in the field of CMs, static planar large deflection of slender beams can be modeled via Euler Bernoulli beam theory, and it is essentially a boundary value problem (BVP). In this paper, we propose to use Taylor series method and Padé approximant to solve this BVP in a more efficient manner compared to the previous work. Its accuracy and efficiency have been compared with weighted residual method and also verified by solid-mechanics-based Finite Element Method (FEM) respectively. The feasibility of the proposed method has also been proved in terms of synthesizing CMs where three representative cases are studied. • We solved large beam-deflection problems by Taylor series method. • We solved large beam-deflection problems by Padé approximant. • We provided convergence analysis on the 2 methods. • We proved the feasibility of modeling CMs using the 2 methods. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0094114X
- Volume :
- 177
- Database :
- Academic Search Index
- Journal :
- Mechanism & Machine Theory
- Publication Type :
- Academic Journal
- Accession number :
- 158780269
- Full Text :
- https://doi.org/10.1016/j.mechmachtheory.2022.105033