Wave Approach in Discrete-Continuous Systems Longitudinally Deformed with Variable Rod Cross-Sections

[1] V.B.Cherepennikov, Polynomial quasisolutions of a boundary value problem for
linear differential-difference equations, Functional Differential Equations, 5, 4
(2008), 143-157.
[2] V.B.Cherepennikov, P.G.Ermolaeva, Polynomial quasisolutions of linear
differential-difference equations, Opuscula Mathematica, 26, 3 (2006), 431-443.
[3] T.P.Desmond, Theoretical and experimental investigation of stress waves in
junction of three bars, J. Applied Mechanics, 48 (1981), 148-154.
[4] J.M. Gere, W.Weaver, Analysis of framed structures, New York, D.Van Nostrand
Company (1965).
[5] K.F.Graff, Wave motion of elastic solids, Clarendon Press, Oxford (1975).
[6] J.Hale, Theory of functional differential equations, Springer-Verlag, New York
(1977).
[7] W.Nadolski, A.Pielorz, The use of elastic waves in dynamic investigations of plane
truss members, The Archive of Mechanical Engineering, 43 (1996), 105-123.
[8] A.Pielorz, The investigation of the influence of a local elastic nonlinearity on
vibrations of plane truss members, Engineering Transactions, 51,1 (2003), 3-24.
[9] A.Pielorz, Nonlinear equations with a retarded argument in discrete-continuous
systems, Mathematical Problems in Engineering, Vol. 2007, Article ID 28430: 1-
11, doi: 10.1155/2007/28430 (2007).
[10] A.Pielorz, Wave approach in nonlinear dynamic problems of multi-mass
discrete-continuous systems, International Journal of Pure and Applied
Mathematics, 50, 2 (2009), 269-274.
[11] A.Pielorz, Vibrations of rod-rigid element systems with a local non-linearity,
International Journal of Non-Linear Mechanics, (2010), in press.