Study on Modal Shape of the Vibration of an Axially Moving Cantilever Beam with Tip Mass

Li Wang; Huai Hai Chen; Xu Dong He

doi:10.4028/www.scientific.net/AMR.211-212.200

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 211-212Study on Modal Shape of the Vibration of an...

Study on Modal Shape of the Vibration of an Axially Moving Cantilever Beam with Tip Mass

Abstract:

The transverse vibration equation of an axially moving cantilever beam with tip mass is given. The instant linearized equations are set up based on Galerkin’s method. The tip mass influences to the first three order modes of the beam are computed. The calculated responses using the modes with tip mass are compared with the results using the modes without tip mass. Modes without tip mass can replace the modes with tip mass while the tip mass is small. The heavier the tip mass is, the bigger the difference of using the replacement is. It is found that the experimental result is fit well with the theoretical result using the modes with tip mass.

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Periodical:

Advanced Materials Research (Volumes 211-212)

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200-204

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.211-212.200

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Online since:

February 2011

Authors:

Li Wang, Huai Hai Chen, Xu Dong He

Keywords:

Axially Moving Beam, Galerkin's Method, Mode, Shape Function, Tip Mass, Vibration

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