Literature cited
E. S. Sorokin, Contribution to the Theory of Internal Friction in the Case of the Vibrations of Elastic Systems [in Russian], Moscow (1960).
H. Kolsky, "Viscoelastic waves," in: International Symposium on Stress Wave Propagation in Materials, New York (1960), pp. 55–90.
É. Skuchik, Principles of Acoustics [in Russian], Vol. 2, Moscow (1959).
E. S. Sorokin, Internal and External Resistance in the Case of Vibrations of Solid Bodies [in Russian], Moscow (1957).
E. S. Sorokin, "Nonsteady vibrations of elastic systems with internal friction," in: Structural Mechanics [in Russian], Moscow (1961), pp. 89–110.
E. S. Sorokin, "The equations of the dynamical theory of elasticity with internal friction taken into account," in: Problems of Mechanics in Their Application to Transport and Construction [in Russian], No. 343, Moscow (1971), pp. 3–14.
E. S. Sorokin, "The effect of internal friction on the stresses in beams and plates in the case of impulse loads," Stroit. Mekh. Raschet Sooruzh., No. 2, 14–18 (1960).
E. S. Sorokin, "More on taking internal resistance into account in the investigation of random vibrations of structures," Stroit. Mekh. Raschet Sooruzh., No. 4, 53–54 (1974).
E. S. Sorokin, "A transitional process in a system with internal friction in the case of periodic forces," Stroit. Mekh. Raschet Sooruzh., No. 2, 41–46 (1971).
A. G. Nazarov, A Method of Engineering Analysis of Seismic Forces [in Russian], 2nd ed., Erevan (1959).
Ya. G. Panovko, Internal Friction in the Case of Vibrations of Elastic Systems [in Russian], Moscow (1960).
E. S. Sorokin, "Some new concepts and revisions in the theory of internal friction," in: Problems of Mechanics in Their Application to Transport and Construction [in Russian], No. 343, Moscow (1971), pp. 15–23.
I. Babushka and V. Koloushek, "The linear theory of internal absorption in the case of vibrations of elastic systems," in: Structural Mechanics [in Russian], Moscow (1961), pp. 57–88.
V. Koloushek, The Dynamics of Structural Elements [in Russian], Moscow (1965).
L. F. Kochneva, "The theory of hereditary frequency-independent internal friction in solid bodies in the case of vibrations," Candidate's Dissertation, Moscow (1973).
L. M. Reznikov, "Concerning taking account of internal inelastic resistance in the investigation of random vibrations of structural elements," Stroit. Mekh. Raschet Sooruzh., No. 4, 48–53 (1974).
V. G. Podol'skii, "An approximate representation of the hypothesis of internal friction independent of frequency," Stroit. Mekh. Raschet Sooruzh., No. 2, 46–49 (1971).
T. K. Coughey and A. Vijayaraghavan, "Forced oscillations of a dynamic system with "linear hysteretic damping" (non-linear theory)," Intern. J. Non-Linear Mech., No. 5, 533–555 (1970).
S. H. Scanlan and R. Rosenbaum, Introduction to the Study of Aircraft Vibration and Flutter, New York (1951).
R. E. D. Bishop, "The treatment of damping forces in vibration theory," J. Roy. Aeronaut. Soc.,59, 738–742 (1955).
N. O. Myklestad, "The concept of complex damping," J. Appl. Mech.,19, 284–286 (1952).
R. Scanlan and A. Mendelson, "A mathematical model of damping in construction elements," Raketn. Tekh. Kosmonavt., No. 4, 206–207 (1963).
I. S. Gonorovskii, Radio-Engineering Circuits and Signals [in Russian], Moscow (1971).
L. Boltzmann, "Zur Theorie der elastischen Nachwirkung," ("Contribution to the theory of elastic aftereffect"),7, 624–654 (1876).
C. Lomnitz, "Linear dissipation in solids," J. Appl. Phys.,2, 201–205 (1957).
K. Benewitz, Phys. Z.,25, 417 (1924).
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Institute of Polymer Mechanics, Academy of Sciences of the Latvian SSR, Riga. Translated from Mekhanika Polimerov, No. 4, pp. 706–714, July–August, 1977.
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Balodis, A.A. Complex theory of internal friction. Polymer Mechanics 13, 595–602 (1977). https://doi.org/10.1007/BF00859343
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DOI: https://doi.org/10.1007/BF00859343