Stability of a straight bar of variable rigidity |
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Authors: | V I Gorbachev O B Moskalenko |
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Institution: | 1.Lomonosov Moscow State University,Leninskie Gory, Moscow,Russia |
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Abstract: | We consider the longitudinal compression of a straight bar whose rigidity is a periodic integrable function of the longitudinal
coordinate. For a hinged bar with one clamped end, we obtain approximate analytic formulas that permit obtaining the critical
compressing loads under which an adjacent, curved form of equilibrium is possible. In the case of a bar of stepwise varying
rigidity that consists of a single period (the limit case), we compare the results obtained by our formulas with the already
known exact solutions of the stability equation. A good agreement between the approximate and exact results is shown. |
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