FORMULATIONS ON INPUT PARAMETERS IN ADVANCED DYNAMICS
The dynamical study of the rigid body and multibody systems, in accordance with fundamental theorems and differential principles typical to analytical dynamics, is based on advanced notions, such as: momentum, angular momentum, kinetic energy, acceleration energies of different orders and their absolute time derivatives of higher order. Advanced notions and theorems are developed in connection with the generalized variables, also named independent parameters of position and orientation (d.o.f.), corresponding to holonomic rigid body and systems. But, mechanically, the expressions of definition of the advanced notions are based on fundamental input parameters. These are referring on the one hand to kinematical parameters and their differential transformations, corresponding to absolute motions, on the other hand to mass properties highlighted by mass and inertial tensor, as well their generalized variation laws. By means of the researches of the author, based on classical transformations and matrix exponentials, in this paper a few essential formulations concerning input expressions and parameters from advanced kinematics and dynamics will be presented. They become input expressions compulsory included in fundamental notions and theorems, in the differential principles typical to analytical mechanics, as well as in the dynamics equations of higher order, corresponding to the current and sudden motions in the case of the rigid body and multibody systems, as example robot structures.
Appell, P., Sur une forme générale des equations de la dynamique, Paris, 1899.
Negrean, I., Negrean, D. C., Matrix Exponentials to Robot Kinematics, 17th International Conference on CAD/CAM, Robotics and Factories of the Future, CARS&FOF 2001, Durban South Africa, 2001, Vol.2, pp. 1250-1257, 32 rel., 4 ref.
Negrean, I., Negrean, D. C., The Acceleration Energy to Robot Dynamics, International Conference on Automation, Quality and Testing, Robotics, AQTR 2002, May 23-25, Cluj-Napoca, Tome II, pp. 59-64
Negrean I., Mecanică avansată în Robotică, ISBN 978-973-662-420-9, UT Press, 2008.
Negrean I., Mechanics, Theory and Applicationss, Editura UT PRESS, Cluj – Napoca, ISBN 978-606-737-061-4, 2015.
Negrean, I., Formulations in Advanced Dynamics of Mechanical Systems, The 11 th IFTOMM International Symposium on Science of Mechanisms and Machines, Mechanisms and Machine Science 18, DOI:10.1007/978-3-319-01845-4-19 Springer International Publis. Switzerland, pp. 185-195.
Negrean, I., Energies of Acceleration in Advanced Robotics Dynamics, Applied Mechanics and Materials, ISSN: 1662-7482, vol 762, pp 67-73 Submitted: 2014-08-05 ©(2015)TransTech Publications Switzerland DOI:10.4028/www.scientific.net/AMM.762.67, Revised:2014-11-16.
Negrean I., New Formulations on Acceleration Energy in Analytical Dynamics, Applied Mechanics and Materials, vol. 823 pp 43-48 © (2016) TransTech Publications Switzerland Revised: 2015-09, Doi: 10.4028
Negrean I., Formulations on the Advanced Notions in analytical Dynamics of Mechanical Systems, published in IJERM, ISSN: 2349-2058, Volume-03, Issue-04, pp 123-130, 2016.
Negrean I., Advanced Notions and Differential Principles of Motion in Analytical Dynamics, Journal of Engineering Sciences and Innovation, Technical Sciences Academy of Romania, Vol. 1/2016, Issue 1, pp. 49-72, ISSN 2537-320X.
Negrean I., Advanced Notions in Analytical Dynamics of Systems, Acta Technica Napocensis, Series: Applied Mathematics, Mechanics, and Engineering, Vol. 60, Issue IV, 2017, ISSN 1221-5872, pp. 491-502
Negrean I., Advanced Equations in Analytical Dynamics of Systems Acta Technica Napocensis, Series: Applied Mathematics, Mechanics, and Engineering, Vol. 60, Issue IV, 2017, ISSN 1221-5872, pp. 503-514
 Negrean I., New Approaches on Notions from Advanced Dynamics, Acta Technica Napocensis, Series: Applied Mathematics, Mechanics, and Engineering, Vol.61, Issue II, June 2018, pp. 149 – 158.
- There are currently no refbacks.