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ON THE CONSTRUCTION OF THE EULEK-BERNOULI BEAM VIA TWO SETS OF MODES AND THE CORRESPONDING FREQUENCIES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1990, 22(4): 479-483. DOI: 10.6052/0459-1879-1990-4-1995-973
Citation: ON THE CONSTRUCTION OF THE EULEK-BERNOULI BEAM VIA TWO SETS OF MODES AND THE CORRESPONDING FREQUENCIES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1990, 22(4): 479-483. DOI: 10.6052/0459-1879-1990-4-1995-973

ON THE CONSTRUCTION OF THE EULEK-BERNOULI BEAM VIA TWO SETS OF MODES AND THE CORRESPONDING FREQUENCIES

  • In this paper the problem was discussed in which the flextural rigidity and density of the Euler-Bernoulli Beam were solved from some of the displacement modes or the strain modes and the corresponding frequencies of a cantilever or a pinned-pinned beam. The necessary and sufficient conditions for the unique ex istence of a solution to the problem have been set up. An algorithm was proposed and numerical calculations were carried out. Examples and analysis both showed that much better results could be attai...
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