STUDIES ABOUT BENDING BEAMS WITH COMPLEX LOADS ON ELASTIC ENVIRONMENT BY TRANSFER-MATRIX METHOD (TMM)

Mihai TRIPA, Geamilia SOLEA, Lidia SORCOI, Iulia FLORESCU, Dorina SORCOI, Daniela PAUNESCU, Mihaela SUCIU

Abstract


Abstract: A The analytical calculus for bending beams on elastic environment is very special because the elastic environment sends in all points a reaction force proportional to deformation with same constants of proportionality in all points. This calculus based on the Transfer-Matrix Method (TMM) is presented in this paper. The state vectors associated at origin section and at end section of beam is determined putting the conditions on beam extremities and, after, we can calculate all state vectors for all beam sections. We can solve this problem very easy on an appropriate soft.
Key words: complex load, density function, density of charge, state vector, Transfer-Matrix, embedded beam, elastic environment.


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References


Cretu, A., Strength of Materials, Ed. Mediamira, Cluj-Napoca, 2005.

Gery, M., Calgaro, J.-A., Les Matrices-Transfert dans le calcul des structures, Editions Eyrolles, Paris, 1987.

Pantel, E., Ioani, A., Popa, A., Nedelcu, M., Strength of Materials, Part II, Ed. Napoca Star Cluj- Napoca, 2009.

Staicu, S., Matrix modeling of inverse dynamics of spatial and planar parallel robots, Multibody System Dynamics, Springer, 27, 2, pp.239-265, 2012.

Suciu, M., About the Study of Bending Beam on Elastic Environment by Transfer-Matrix Method, Applied Mechanics and Materials, vol. 186, pp.149-155, (2012).


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