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Motion of a Mechanical System with Variable Mass–Inertia Characteristics

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Abstract

A closed-form system of dynamic equations describing the free motion of a material system with variable mass–inertia characteristics is derived. The system consists of a carrying body and carried bodies (freight) and undergoes translational–rotational motion in space. The differential equations of motion derived include time-dependent parameters and allow for the inertia and varying mass of the system, etc. It is pointed out that special cases can be derived from the general equations to study various modes of motion and stability phenomena

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REFERENCES

  1. Ya. F. Kayuk and A. Tilavov, “Motion of an elastically suspended solid of variable mass,” Prikl. Mekh., 23, No. 15, 102-109 (1987).

    Google Scholar 

  2. Ya. F. Kayuk and V. I. Denisenko, “Spatial motion of a solid when ejected on a cable from the carrying body,” Prikl. Mekh., 26, No. 3, 86-92 (1990).

    Google Scholar 

  3. Ya. F. Kayuk and A. Akhmedov, “Spatial motion of an elastically suspended cylindrical body of variable mass,” Prikl. Mekh., 28, No. 7, 62-69 (1992).

    Google Scholar 

  4. M. Z. Litvin-Sedoi, An Introduction to the Mechanics of Controlled Flight [in Russian], Vyssh. Shk., Moscow (1962).

    Google Scholar 

  5. A. M. Mkhitaryan, P. S. Laznyuk, V. S. Maximov et al., Flight Dynamics [in Russian], Mashinostroenie, Moscow (1978).

    Google Scholar 

  6. M. A. Pavlovskii, L. Yu. Akinfieva, and O. F. Boichuk, Theoretical Mechanics [in Russian], Vyshcha Shkola, Kiev (1990).

    Google Scholar 

  7. V. I. Gulyaev, “Complex motion of elastic systems,” Int. Appl. Mech., 39, No. 5, 525-545 (2003).

    Google Scholar 

  8. V. P. Legeza, “Rolling of a heavy ball in a spherical recess of a translationally moving body,” Int. Appl. Mech., 38, No. 6, 758-764 (2002).

    Google Scholar 

  9. A. A. Martynyuk, “Stability analysis of continuous systems with structural perturbations,” Int. Appl. Mech., 38, No. 7, 783-805 (2002).

    Google Scholar 

  10. K. S. Matviichuk, “Technical stability of nonstationary automatic-control systems with variable structure,” Int. Appl. Mech., 39, No. 3, 356-367 (2003).

    Google Scholar 

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev

    Ya. F. Kayuk

  2. Trade and Economic University, Kiev, Ukraine

    V. I. Denisenko

Authors
  1. Ya. F. Kayuk
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  2. V. I. Denisenko
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Kayuk, Y.F., Denisenko, V.I. Motion of a Mechanical System with Variable Mass–Inertia Characteristics. International Applied Mechanics 40, 814–820 (2004). https://doi.org/10.1023/B:INAM.0000046226.90924.dd

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  • DOI: https://doi.org/10.1023/B:INAM.0000046226.90924.dd

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