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Articles

Well posed formulations of holonomic mechanical system dynamics and design sensitivity analysis

Pages 111-121 | Received 19 Jul 2019, Accepted 12 Sep 2019, Published online: 07 Oct 2019

References

  • Banerjee, J., and J. McPhee. 2016. Graph-theoretic sensitivity analysis of multi-domain dynamic systems: Theory and symbolic computer implementation. Nonlinear Dynamics 85 (1):203–27. doi:10.1007/s11071-016-2679-3.
  • Corwin, L. J., and R. H. Szczarba. 1982. Multivariable calculus. New York: Marcel Dekker.
  • Dopico, D., Y. Zhu, A. Sandu, and C. Sandu. 2015. Direct and adjoint sensitivity analysis of ordinary differential equation multibody formulations. Journal of Computational and Nonlinear Dynamics 10 (1):011012. doi:10.1115/1.4026492.
  • Haug, E. J. 2016a. An ordinary differential equation formulation for multibody dynamics: Holonomic constraints. Journal of Computing and Information Science in Engineering 16 (2):021007. doi:10.1115/1.4033237.
  • Haug, E. J. 2016b. An index 0 differential-algebraic equation formulation for multibody dynamics: Holonomic constraints. Mechanics Based Design of Structures and Machines 17:479–506. doi:10.1080/15397734.2016.1246370.
  • Haug, E. J. 2018. Extension of Maggi and Kane equations to holonomic dynamic systems. Journal of Computational and Nonlinear Dynamics 13 (12):121003. doi:10.1115/1.4041579.
  • Haug, E. J. 2019. Computational methods in mechanical system dynamics. ResearchGate. http://www.researchgate.net.
  • Rheinboldt, W. C. 1991. On the existence and uniqueness of solutions of nonlinear semi-implicit differential-algebraic equations. Numerical Analysis, Theory, Methods, & Applications 16 (7/8):647–61. doi:10.1016/0362-546X(91)90172-W.
  • Strang, G. 1980. Liner algebra and its applications. 2nd ed. New York: Academic Press.
  • Teschl, G. 2012. Ordinary differential equations and dynamical systems. Providence, RI: American Math Society.

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