Rigid-Flexible Coupling Dynamics Modeling of Spatial Crank-Slider Mechanism Based on Absolute Node Coordinate Formulation

Xiaoyu Wang, Haofeng Wang, Jingchao Zhao, Chunyang Xu, Zhong Luo and Qingkai Han
Additional contact information
Xiaoyu Wang: School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
Haofeng Wang: School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
Jingchao Zhao: School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
Chunyang Xu: AECC Shenyang Engine Research Institute, Shenyang 110015, China
Zhong Luo: School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
Qingkai Han: School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China

Mathematics, 2022, vol. 10, issue 6, 1-13

Abstract: In order to study the influence of compliance parts on spatial multibody systems, a rigid-flexible coupling dynamic equation of a spatial crank-slider mechanism is established based on the finite element method. Specifically, absolute node coordinate formulation (ANCF) is used to formulate a three-dimensional, two-node flexible cable element. The rigid-flexible coupling dynamic equation of the mechanism is derived by the Lagrange multiplier method and solved by the generalized α method and Newton–Raphson iteration method combined. Comparison of the kinematics and dynamics response between rigid-flexible coupling system and pure rigid system implies that the flexible part causes a certain degree of nonlinearity and reduces the reaction forces of joints. The elastic modulus of the flexible part is also important to the dynamics of the rigid-flexible multibody system. With smaller elastic modulus, the motion accuracy and reaction forces become lower.

Keywords: spatial crank-slider mechanism; absolute node coordinate formulation; Lagrange multiplier method; rigid-flexible coupling dynamics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/6/881/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/6/881/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:6:p:881-:d:768105

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().