The Green's Function and its Oscillatory Properties for a Single Branch Structure of a Pinned Beam-Rod System

Min He; Qi Shen Wang

doi:10.4028/www.scientific.net/AMR.291-294.2014

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 291-294The Green's Function and its Oscillatory...

The Green's Function and its Oscillatory Properties for a Single Branch Structure of a Pinned Beam-Rod System

Abstract:

This paper concerns the determination of qualitative properties of linear vibrational systems, in particular for a single branch structure consisting of a pinned beam-rod system. First, we establish the characteristic equations satisfied by the Green’s function for this structure. The Green’s functions corresponding to support conditions where the left end of the beam was pinned-end are deduced by adopting the direct integral method. Using the theory of oscillation kernels established by Gantmakher and Krein, oscillatory properties of the Green's function for the beam-rod system are proved. Furthermore, four oscillation properties associated with frequencies and mode functions for the system are given.

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Advanced Materials Research (Volumes 291-294)

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2014-2020

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https://doi.org/10.4028/www.scientific.net/AMR.291-294.2014

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July 2011

Authors:

Min He, Qi Shen Wang

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Green's Function, Pinned Rod-Beam System, Qualitative Property, Single Branch Structure

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References

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