TY - JOUR
AU - Dovgalyuk, A.
AB - International Applied Mechanics, VOI. 30, No. 5, 1994 FORCED VIBRATIONS OF LAMINATED MATERIALS WITH A STOCHASTIC STRUCTURE L. P. Khoroshun, S. G. Shpakova, and A. V. Dovgalyuk UDC 539.3 The studies [1, 4-6] examined wave processes in stochastically nonuniform media. Use of the method of conditional moments [3] appreciably simplifies the calculations and makes it possible to construct a solution accurate to within the fluctuations of the parameters in a component of the medium. We use the same method here to study the forced vibrations of laminated materials with a stochastic structure. 1. We will examine the forced longitudinal vibration of a laminated medium with a stochastic structure. The vibrations take place along the x axis -- which is normal to the layers -- and are described by the equation o {;t0uh +Fei~, 0 2u (1.1) 0--£~ Ox! =POt 2 Here, the elastic modulus X, density p, and the amplitude of the exciting force F are assigned, while the displacement u is an unknown random function of the coordinate x. The quantities X and o are statistically homogeneous functions. Representing the displacement in the form (1.2) u(x,t) ~t =v(x)e , we obtain the equation (1.3) (,tv')'+aJ2pv +F=0. If we 
TI - Forced vibrations of laminated materials with a stochastic structure
JF - International Applied Mechanics
DO - 10.1007/BF00847268
DA - 2004-12-03
UR - https://www.deepdyve.com/lp/springer-journals/forced-vibrations-of-laminated-materials-with-a-stochastic-structure-SlRfd80qI4
SP - 348
EP - 354
VL - 30
IS - 5
DP - DeepDyve
ER -