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

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

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 sy...

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Veröffentlicht in:Periodica polytechnica. Mechanical engineering - Mas̆inostroenie 2015, Vol.59 (2), p.60-64
Hauptverfasser: Xue, Yanxia, Su, Zhenchao, Wang, Huailei
Format: Artikel
Sprache:eng
Schlagworte:
Accumulation
Differential equations
Energy of formation
Illustrations
Mathematical analysis
Mechanical engineering
Mechanical systems
Theorems
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Zusammenfassung: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.
ISSN:0324-6051
1587-379X
DOI:10.3311/PPme.7660