论文信息 - Stability of Viscoelastic Systems Subjected to Nonconservative Forces

Stability of Viscoelastic Systems Subjected to Nonconservative Forces

In the classical theory of elastic stability only potential forces (usually — the loads of the gravitational origin) were considered. With the development of technology the class of forces widened sufficiently. Many new problems were stated: stability of structures subjected to forces varying periodically in time (Belyaev [1]), stability of structures in the presence of follower forces (Nikolai [2]) etc. Survey of works dealing with the nonconservative problems of elastic stability is given in papers by Mettler [3], Evan-Iwanowski [4] and Herrmann [5] and in books by Bolotin [6, 7] published firstly in 1956 and 1961.

V. V. Bolotin

[1] V. V. Bolotin,et al. Effects of damping on stability of elastic systems subjected to nonconservative forces , 1969 .

[2] G. Schmidt,et al. Instabilitäten gedämpfter rheolinearer Schwingungen , 1961 .

[3] H. Ziegler,et al. Die Stabilitätskriterien der Elastomechanik , 1952 .

[4] S. Nemat-Nasser,et al. Destabilizing effect of velocity-dependent forces in nonconservative continuous systems Technical report no. 65-4 , 1965 .

[5] H. Leipholz. Über den Einfluß der Dämpfung bei nichtkonservativen Stabilitätsproblemen elastischer Stäbe , 1964 .

[6] I. C. Jong,et al. On Nonconservative Stability Problems of Elastic Systems With Slight Damping , 1966 .

[7] Sia Nemat-Nasser. On the stability of the equilibrium of nonconservative continuous systems with slight damping. , 1967 .

[8] John W. Miles,et al. Supersonic Flutter of a Cylindrical Shell , 1957 .

[9] George Herrmann,et al. Some general considerations concerning the destabilizing effect in nonconservative systems , 1965 .

[10] Ing-Chang Jong,et al. On the destabilizing effect of damping in nonconservative elastic systems. , 1965 .