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Nonlinear spatial vibrations of a solid body with an active system of vibration shielding

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Literature Cited

  1. D. D. Aiker, J. Denavit, and R. S. Hartenberg, “Iteration method of analyzing displacements of spatial mechanisms,” Proc. Amer. Soc. Mech. Eng., Appl. Mech., No. 2, 169–176 (1964).

    Google Scholar 

  2. R. F. Ganiev, “Resonance phenomena in the nonlinear vibrations of solid bodies,” Prikl. Mekh.,8, No. 8, 12–45 (1972).

    Google Scholar 

  3. R. F. Ganiev and V. O. Kononenko, Vibrations of Solid Bodies [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  4. R. F. Ganiev and K. V. Frolov, “Nonlinear problem of vibration absorbing for apparatus and machines,” in: Vibrations and Stability of Machines Apparatus and Elements of Control Systems [in Russian], Nauka, Moscow (1968), pp. 105–113.

    Google Scholar 

  5. G. D. Gower and J. S. Walford, “Matrix method for analyzing the accelerations of three-dimensional multilinkages,” Proc. Amer. Soc. Mech. Eng., Appl. Mech., No. 4, 286–288 (1972).

    Google Scholar 

  6. V. O. Kononenko, “Vibrations of a solid body about the center of mass,” Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, Mekh. Mashinostr., No. 4, 23–30 (1963).

    Google Scholar 

  7. P. A. Lebedev, Kinematics of Spatial Mechanisms [in Russian], Mashinostroenie, Moscow-Leningrad (1966).

    Google Scholar 

  8. I. G. Malkin, Some Questions in the Theory of Nonlinear Vibrations [in Russian], Gostekhizdat, Moscow (1956).

    Google Scholar 

  9. T. S. Austin, J. Denavit, and R. S. Hartenberg, “Analysis of errors in a double Hooke hinge,” Proc. Amer. Soc. Mech. Eng., Construction and Technology of Machine Building, No. 2, 174–182 (1965).

    Google Scholar 

  10. V. I. Sergeev, Foundations of Instrumental Accuracy of Electromechanical Circuits [in Russian], Izd. Akad. Nauk SSSR, Moscow (1963).

    Google Scholar 

  11. J. J. Wicker, Jr., “Dynamics of spatial mechanisms. I. Exact equations of motion. II. Small vibrations of the relative equilibrium position,” Proc. Amer. Soc. Mech. Eng., Construction and Technology of Machine Building, No. 1, 264–278 (1969).

    Google Scholar 

  12. R. D. Cavanough, “Air suspension and servo-controlled isolation systems,” in: Shock and Vibration Handbook, Vol. 2, McGraw-Hill, New York (1961), Chap. 33, pp. 33.1–33.35.

    Google Scholar 

  13. J. Devanit, R. S. Hartenberg, R. Razi, and J. J. Wicker, Jr., “Velocity, acceleration, and static-force analysis of spatial linkages,” Trans. ASME, J. Appl. Mech., No. 4, 903–910 (1965).

    Google Scholar 

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Authors
  1. A. V. Sinev
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  2. K. V. Frolov
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Additional information

Institute of Machine Studies, Moscow. Translated from Prikladnaya Mekhanika, Vol. 13, No. 2, pp. 80–90, February, 1977.

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Sinev, A.V., Frolov, K.V. Nonlinear spatial vibrations of a solid body with an active system of vibration shielding. Soviet Applied Mechanics 13, 166–174 (1977). https://doi.org/10.1007/BF00882567

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  • DOI: https://doi.org/10.1007/BF00882567

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