Two-Dimensional Finite Element in General Plane Motion Used in the Analysis of Multi-Body Systems
Abstract
:1. Introduction
2. Two-Dimensional Finite Element
2.1. Two-Dimensional Model
2.2. Lagrangian of an Element
3. Motion Equations
4. Conclusions
- The classical inertia tensor is a symmetrical tensor;
- The damping tensor is a skew symmetric tensor; this represents the effect of the accelerations due to the Coriolis effects (relative motions with respect to the mobile reference co-ordinate system;
- The stiffness tensor is a symmetric tensor; this tensor is modify by additional terms depending on the general plane rotation of the element, becoming ;
- The vector of the generalized loads contains some supplementary terms due to inertia of finite elements being in rigid motion; these are .
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
Appendix A
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Chircan, E.; Scutaru, M.-L.; Pruncu, C.I. Two-Dimensional Finite Element in General Plane Motion Used in the Analysis of Multi-Body Systems. Symmetry 2019, 11, 848. https://doi.org/10.3390/sym11070848
Chircan E, Scutaru M-L, Pruncu CI. Two-Dimensional Finite Element in General Plane Motion Used in the Analysis of Multi-Body Systems. Symmetry. 2019; 11(7):848. https://doi.org/10.3390/sym11070848
Chicago/Turabian StyleChircan, Eliza, Maria-Luminiţa Scutaru, and Cătălin Iulian Pruncu. 2019. "Two-Dimensional Finite Element in General Plane Motion Used in the Analysis of Multi-Body Systems" Symmetry 11, no. 7: 848. https://doi.org/10.3390/sym11070848
APA StyleChircan, E., Scutaru, M. -L., & Pruncu, C. I. (2019). Two-Dimensional Finite Element in General Plane Motion Used in the Analysis of Multi-Body Systems. Symmetry, 11(7), 848. https://doi.org/10.3390/sym11070848