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Feedback integrators for mechanical systems with holonomic constraints

(2022) SENSORS. 22(17).
Author
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Abstract
The feedback integrators method is improved, via the celebrated Dirac formula, to integrate the equations of motion for mechanical systems with holonomic constraints so as to produce numerical trajectories that remain in the constraint set and preserve the values of quantities, such as energy, that are theoretically known to be conserved. A feedback integrator is concretely implemented in conjunction with the first-order Euler scheme on the spherical pendulum system and its excellent performance is demonstrated in comparison with the RATTLE method, the Lie-Trotter splitting method, and the Strang splitting method.
Keywords
Electrical and Electronic Engineering, Biochemistry, Instrumentation, Atomic and Molecular Physics, and Optics, Analytical Chemistry, feedback integrator, numerical integration, holonomic constraint, first integral, MANIFOLDS, SHAKE

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Citation

Please use this url to cite or link to this publication:

MLA
Chang, Dong Eui, et al. “Feedback Integrators for Mechanical Systems with Holonomic Constraints.” SENSORS, vol. 22, no. 17, 2022, doi:10.3390/s22176487.
APA
Chang, D. E., Perlmutter, M., & Vankerschaver, J. (2022). Feedback integrators for mechanical systems with holonomic constraints. SENSORS, 22(17). https://doi.org/10.3390/s22176487
Chicago author-date
Chang, Dong Eui, Matthew Perlmutter, and Joris Vankerschaver. 2022. “Feedback Integrators for Mechanical Systems with Holonomic Constraints.” SENSORS 22 (17). https://doi.org/10.3390/s22176487.
Chicago author-date (all authors)
Chang, Dong Eui, Matthew Perlmutter, and Joris Vankerschaver. 2022. “Feedback Integrators for Mechanical Systems with Holonomic Constraints.” SENSORS 22 (17). doi:10.3390/s22176487.
Vancouver
1.
Chang DE, Perlmutter M, Vankerschaver J. Feedback integrators for mechanical systems with holonomic constraints. SENSORS. 2022;22(17).
IEEE
[1]
D. E. Chang, M. Perlmutter, and J. Vankerschaver, “Feedback integrators for mechanical systems with holonomic constraints,” SENSORS, vol. 22, no. 17, 2022.
@article{8771667,
  abstract     = {{The feedback integrators method is improved, via the celebrated Dirac formula, to integrate the equations of motion for mechanical systems with holonomic constraints so as to produce numerical trajectories that remain in the constraint set and preserve the values of quantities, such as energy, that are theoretically known to be conserved. A feedback integrator is concretely implemented in conjunction with the first-order Euler scheme on the spherical pendulum system and its excellent performance is demonstrated in comparison with the RATTLE method, the Lie-Trotter splitting method, and the Strang splitting method.}},
  articleno    = {{6487}},
  author       = {{Chang, Dong Eui and Perlmutter, Matthew and Vankerschaver, Joris}},
  issn         = {{1424-8220}},
  journal      = {{SENSORS}},
  keywords     = {{Electrical and Electronic Engineering,Biochemistry,Instrumentation,Atomic and Molecular Physics,and Optics,Analytical Chemistry,feedback integrator,numerical integration,holonomic constraint,first integral,MANIFOLDS,SHAKE}},
  language     = {{eng}},
  number       = {{17}},
  pages        = {{12}},
  title        = {{Feedback integrators for mechanical systems with holonomic constraints}},
  url          = {{http://dx.doi.org/10.3390/s22176487}},
  volume       = {{22}},
  year         = {{2022}},
}

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