About the Study of Bending Beam on Elastic Environment by Transfer-Matrix Method

Abstract:

The paper presents an analytical calculus for the bending beams on elastic environment. The elastic environment sends in all points a reaction force proportional to the deformation with the same constant of proportionality in all points. The calculus of the state vectors associated at the origin section and at the end section of the beam is made by Transfer-Matrix Method, putting the conditions on the supports (extremities) of the beam. After, we can calculate all state vectors for all sections of the beam.

• Periodical: Applied Mechanics and Materials (Volume 186)
• Pages: 149-155
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.186.149
• Online since: June 2012
• Authors: Mihaela Suciu
• Keywords: Density Function, Density of Charge, Elastic Environment, Embedded Beam, State Vector, Transfer Matrix Method (TMM)

References

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DOI: 10.1007/s11044-011-9281-8