Chinese Science Bulletin

, Volume 49, Issue 12, pp 1224–1226 | Cite as

Energy-like conserved quantity of a nonlinear nonconsevative continuous system

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Abstract

A system whose energy is not conserved is called nonconservative. To investigate if there exists a conserved quantity that has the same dimension as energy and is positively definite, the author analyzed the bending vibration of an axially moving beam with geometric nonlinearity. Based on the governing equation, the energy was proven to be not conserved in the case where the beam has two simply supported or fixed ends. A definitely positive quantity with the energy dimension was defined. The quantity was verified to remain a constant during the motion. The investigation indicates that an energy-like conserved quantity may exist in a nonlinear nonconservative continuous system.

Keywords

conserved quantity energy nonconservative system nonlinearity axially moving beam bending vibration 

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Copyright information

© Science in China Press 2004

Authors and Affiliations

  1. 1.Department of MechanicsShanghai University, Shanghai Institute of Applied Mathematics and MechanicsShanghaiChina

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