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Hypercomplex Quaternions and Higher-Order Analysis of Spatial Kinematic Chains Cover
Open Access
|Dec 2023

References

  1. Müller A., An overview of formulae for the higher-order kinematics of lower-pair chains with applications in robotics and mechanism theory, Mech. Mach. Theory 142 (2019) 103594.
  2. Müller A., An O(n)-Algorithm for the Higher-Order Kinematics and Inverse Dynamics of Serial Manipulators Using Spatial Representation of Twists, in IEEE Robotics and Automation Letters6(2) (2021) 397-404.
  3. Condurache D., Burlacu A., Orthogonal dual tensor method for solving the AX=XB sensor calibration problem, Mech. Mach. Theory, 104 (2016) 382–404.
  4. Condurache D., Higher-order kinematics of rigid bodies: a tensors algebra approach, In: Interdisciplinary Applications of Kinematics. Mechanisms and Machine Science 71, Springer, Cham (2019).
  5. Condurache D., Higher-order relative kinematics of rigid body motions: a dual Lie algebra approach, In: Advances in Robot Kinematics 2018, ARK 2018 8, Springer, Cham (2019).
  6. Condurache D., Multidual Algebra and Higher-Order Kinematics, New Trends in Mechanism and Machine, Mechanisms and Machine Science 89, Springer, Cham, (2020) 48-55.
  7. Condurache D., Higher-Order Relative Kinematics of Rigid Body, and Multibody Systems, A Novel Approach with Real and Dual Lie Algebras, Mech. Mach. Theory, vol. 176, 104999 (2022).
  8. Condurache D., Higher-Order Kinematics of Lower-Pair Chains with Hyper-Multidual Algebra, ASME 2022 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE2022), August 14 - 17, in St. Louis, Missouri (2022).
  9. Cohen A. and Shoham M., Application of Hyper-Dual Numbers to Multibody Kinematics, ASME. J. Mechanisms Robotics 8(1) (2016) 011015.
  10. Messelmi F., Analysis of Dual Functions, Annual Review of Chaos Theory, Bifurcations and Dynamical Systems 4 (2013) 37-54.
  11. Messelmi F., Multidual numbers and their multidual functions, Electron. J. Math. Anal. Appl. 3(2) (2015) 154–172.
  12. Messelmi F., Differential Calculus of Multidual Functions, Annual Review of Chaos Theory, Bifurcations and Dynamical Systems 10 (2021) 1-15.
Language: English
Page range: 21 - 34
Submitted on: Sep 4, 2023
Accepted on: Oct 26, 2023
Published on: Dec 29, 2023
Published by: Gheorghe Asachi Technical University of Iasi
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

© 2023 Daniel Condurache, Mihail Cojocari, Ionuţ Popa, published by Gheorghe Asachi Technical University of Iasi
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.