V.G.Karnaukhov, V.I.Kozlov, V.M.Sichko, A.V.Zavgorodnii
An effect of physical nonlinearity on resonance vibration and dissipative heating of rigidly supported thick-walled viscoelastic panel

Acoustic bulletin, Vol. 13 ¹ 2, (2010) p.28-33
The paper deals with studying of influence of physical nonlinearity on the dynamic characteristics of a thick-walled viscoelastic cylindrical panel with rigidly clamped edges under action of external uniform harmonic surface pressure. A thermomechanical behavior of viscoelastic material has been simulated using the conception of complex characteristics. The physical nonlinearity is induced by coupling of mechanical and temperature fields, temperature dependence of material characteristics and nonlinear dependence of dissipative function from the temperature and deformations. An iterative procedure and finite element method have been used for solving of the problem. Frequency dependencies of the amplitude, temperature and damping coefficient have been studied for the panel vibrating on the first bending mode. It has been shown that the physical nonlinearity essentially effects the considered dynamic characteristics.
KEY WORDS:
viscoelasticity, forced vibration, layered shells, physical nonlinearity, dissipative heating, instability, the finite-element method
TEXT LANGUAGE: Russian