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Technical Stability of an Aircraft in a Crosswind Run

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Abstract

Sufficient conditions of technical stability in measure of dynamic states of an aircraft running on a runway with a high speed are obtained. It is assumed that the weight of the aircraft exceeds slightly the wing lift, the crosswind is strong, and the initial distributions of process parameters are arbitrary. The dependence between the eigenvalues of the positive definite quadratic form constructed and the criteria of technical stability is formulated

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REFERENCES

  1. K. A. Abgaryan, “Stability of motion on a finite time interval,” Overall Results of Science and Engineering. General Mechanics [in Russian], No. 3, VINITI, Moscow (1976), pp. 43–127.

    Google Scholar 

  2. L. L. Antseliovich, Reliability, Safety, and Survivability of Aircraft [in Russian], Mashinostroenie, Moscow (1985).

    Google Scholar 

  3. F. D. Bairamov, “Affording technical stability of controlled systems,” in: Problems of Analytical Mechanics, Stability, and Control of Motion [in Russian], Nauka, Novosibirsk (1991), pp. 134–144.

    Google Scholar 

  4. B. N. Bublik, F. G. Garashchenko, and N. F. Kirichenko, Structurally Parametric Optimization and Stability of Motion [in Russian], Naukova Dumka, Kiev (1985).

    Google Scholar 

  5. F. G. Garashchenko, “Study of practical-stability problems by numerical methods and optimization of beam dynamics,” Prikl. Mat. Mekh., 51, No. 5, 717–723 (1987).

    Google Scholar 

  6. I. M. Gel'fand and S. V. Fomin, Calculus of Variations [in Russian], Fizmatgiz, Moscow (1961).

    Google Scholar 

  7. S. V. Emel'yanov, V. I. Utkin et al., Theory of Systems with a Variable Structure [in Russian], Nauka, Moscow (1985).

    Google Scholar 

  8. N. F. Kirichenko, Some Problems of Stability and Controllability of Motion [in Russian], Izd. Kievskogo Univ., Kiev (1972).

    Google Scholar 

  9. M. A. Lavrent'ev and L. A. Lyusternik, Fundamentals of the Calculus of Variations [in Russian], Vol. 1, Part 1, ONTI, Moscow-Leningrad (1935).

    Google Scholar 

  10. K. S. Matviichuk, “Conditions of technical stability of autonomous control systems with variable structure,” Probl. Upravl. Inform., No. 6, 5–22 (1999).

  11. K. S. Matviichuk, “Technical stability of two coupled platforms carrying moving flywheels,” Izv. RAN, Mekh. Tverd. Tela, No. 6, 3–10 (1993).

  12. K. S. Matviichuk, “Technical stability of the dynamic states of a solid oscillating on nonlinear elastic shock-absorbers,” Prikl. Mekh., 29, No. 7, 90–96 (1993).

    Google Scholar 

  13. K. S. Matviichuk, “Technical stability of parametrically excited distributed processes,” Prikl. Mat. Mekh., 50, Issue 2, 210–218 (1986).

    Google Scholar 

  14. N. P. Plakhtienko and B. M. Shifrin, “Stability of motion of a two-mass system with nonlinear friction,” Int. Appl. Mech., 35, No. 8, 846–852 (1999).

    Google Scholar 

  15. N. P. Plakhtienko, “Estimation of the self-oscillation parameters of a two-mass system with dry friction,” Prikl. Mekh., 32, No. 8, 87–96 (1996).

    Google Scholar 

  16. V. S. Pyshnov, Aircraft Aerodynamics [in Russian], ONTI, Moscow-Leningrad (1935).

    Google Scholar 

  17. T. K. Sirazetdinov, “Synthesis of optimal aircraft control, revisited,” Izv. Vuzov, Aviats. Tekh., No. 4, 30–40 (1967).

  18. A. F. Filippov, Differential Equations with a Discontinuous Right-Hand Side [in Russian], Nauka, Moscow (1985).

    Google Scholar 

  19. A. G. Shilov, A Course of Higher Algebra [in Russian], Gostekhizdat, Moscow (1951).

    Google Scholar 

  20. K. S. Matviichuk, “Problem of the dynamic behavior of a panel in supersonic gas flow,” Int. Appl. Mech., 34, No. 4, 392–397 (1998).

    Google Scholar 

  21. K. S. Matviichuk, “Technical stability of controlled processes with concentrated parameters,” Int. Appl. Mech., 33, No. 3, 153–158 (1997).

    Google Scholar 

  22. K. S. Matviichuk, “Technical stability of discontinuous control systems with a continuous set of initial perturbations,” Int. Appl. Mech., 36, No. 11, 1520–1531 (2000).

    Google Scholar 

  23. K. S. Matviichuk, “Technical stability of forced automatic-control variable-structure systems,” Int. Appl. Mech., 37, No. 3, 393–406 (2001).

    Google Scholar 

  24. J. Szarsi, Differential Inequalities, PWN, Warsaw (1967).

    Google Scholar 

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

    K. S. Matviichuk

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  1. K. S. Matviichuk
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Matviichuk, K.S. Technical Stability of an Aircraft in a Crosswind Run. International Applied Mechanics 37, 820–830 (2001). https://doi.org/10.1023/A:1012475627124

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