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Optimum form of a minimum weight rod for a given fundamental frequency

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Soviet Applied Mechanics Aims and scope

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Literature Cited

  1. A. G. Butkovskii, The Optimal Control Theory of Systems with Distributed Parameters [in Russian], Nauka, Moscow (1965).

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  2. V. B. Grinev and A. P. Filippov, “On the limits of the natural frequency of a rod carrying a concentrated mass,” Prikl. Mekh.,9, No. 2 (1973).

  3. A. I. Lur'e, “Application of the maximum principle to the simplest problems of mechanics,” Tr. Leningr. Politekhn. Inst., No. 252 (1965).

  4. K. A. Lur'e, “The Mayer-Bolza problem for multiple integrals and optimization of the behavior of systems with distributed parameters,” Prikl. Mat. Mekh.,27, No. 5 (1963).

  5. F. I. Niordson and Pedersen, “A review of investigations into optimal design of structures,” Mekhanika, No. 2 (138) (1973).

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Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 11, No. 3, pp. 78–82, March, 1975.

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Shul'ga, N.A. Optimum form of a minimum weight rod for a given fundamental frequency. Soviet Applied Mechanics 11, 290–293 (1975). https://doi.org/10.1007/BF00883026

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  • DOI: https://doi.org/10.1007/BF00883026

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