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On dynamics and stability of continuous systems subjected to a distributed moving load. (English) Zbl 0518.73051

MSC:
74H45 Vibrations in dynamical problems in solid mechanics
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
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[1] Yakushev, N. Z.: Dynamics of elastic systems subjected to moving load. Investigation of theory of plates and shells (in Russian), Publication Kazan University, 1972
[2] Kenney, J. T.: Steady-state vibrations of beam on elastic foundation for moving load. J. Appl. Mech. 21 (1959) 359-364 · Zbl 0056.42803
[3] Bogacz, R.; Kaliski, S.: Stability of motion of nonlinear oscillators moving on the surface of an elastic half-space. Proc. Vibr. Probl., 6 (1965) 173-192
[4] Bogacz, R.: Interaction between a moving set of nonlinear oscillators and a travelling wave. Proc. Vibr. Probl. 9 (1968) 55-77 · Zbl 0159.56404
[5] Chwalczyk, F.; Rafa, J.; Wlodarczyk, E.: Propagation of two-dimensional non-stationary stress wave in visco-elastic semi-space produced by normal load moving with sub-seismic velocity on surface (in Polish). Biul. W.A.T. 6.21.238, 1972 · Zbl 0251.73019
[6] Mahrenholtz, O.: Das Stabilitätsverhalten des durchströmten, frei hängenden Rohres. Pflüger-Festschrift, Hannover, 1977 · Zbl 0393.73050
[7] Popp, K.; Müller, P. C.: On Stability of interactive multibody system with application to Maglew-Vehicle-Guideway control systems. In: Magnus K (ed) Dynamics of multibody systems. Proc. IUTAM Symposium, Munich, 1977, pp 290-305. Springer (1978)
[8] Müller, P. C.; Popp, K.; Schiehlen, W. O.: Covariance analysis of nonlinear stochastic GuidewayVehicle-Systems. In: Willumeit H. P. (ed) Dynamics of vehicles on roads an tracks, pp. 337-351. Lisse: Sweets and Zeitlinger (1980)
[9] Bogacz, R.; Rozenbajgier, Z.: Stationary vibration of beam resting on visco-elastic semi-space subjected to moving load (in Polish). Sci. Papers Warsaw Techn. Univ. 63 (1979) 47-83
[10] Sneddon, I.: The use of integral transforms. New York: Mc Graw-Hill (1972) · Zbl 0237.44001
[11] Filipov, A. P.; Kohmaniuk, S. S.: Dynamic action of moving load on beams (in Russian). Kiev: Naukova Dumka (1967)
[12] Nowacki, W.: Theory of creep, Warsaw: Arkady (1963)
[13] Bogacz, R.: On stability of interaction between continuous and lumped systems in stationary relative motion. Proc. IUTAM Symposium, Nümbrecht, 1981. Berlin, Heidelberg, New York: Springer (in print) · Zbl 0486.73046
[14] Achenbach, I. D.; Sun, C. T.; Moving load on a flexibly supported Timoshenko beam. Int. J. Solids Structures 1 (1965) 353-370 · doi:10.1016/0020-7683(65)90001-6
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