Application of Principle of Work and Energy in Its Differential Form to MDOF Systems

  • Yanxia Xue Tan Kah Kee College, Xiamen University
  • Zhenchao Su Tan Kah Kee College, Xiamen University
  • Huailei Wang Nanjing University of Aeronautics and Astronautics

Abstract

This paper is intended to reveal some new aspects of the principle of work and energy in its differential form. A theorem is given to state the principle of work and energy in differential form that can be applied alone to build up all the dynamical equations of a special class of MDOF mechanical systems. Some illustrations and discussions are presented to demonstrate the refined applicability of the principle of work and energy in its differential form through the comparison  with the Lagrange equation method.
Keywords: kinetic energy theorem, applicability, limitation, MDOF system, Lagrange equation, generalized coordinates
Published online
2015-03-23
How to Cite
Xue, Y., Su, Z. and Wang, H. (2015) “Application of Principle of Work and Energy in Its Differential Form to MDOF Systems”, Periodica Polytechnica Mechanical Engineering, 59(2), pp. 60-64. doi: https://doi.org/10.3311/PPme.7660.
Section
Articles