Analytical solution of transient in-plane vibration of a thin viscoelastic disc and its multi-precision evaluation

Wave motion in a thick cylindrical rod undergoing longitudinal impact

“…To prevent this unwanted fact, multi-precision implementation in some computer algebra software can be adopted [37]. In the case of FFTe, such errors are related mainly to the first mentioned step as shown in the paper [40]. But through the absence of Bessel functions of higher orders in the Laplace transforms (3.15)-(3.19), multi-precision computations associated with higher demands on CPU time are not necessary, as verified.…”

Problem of Non-Stationary Waves in Viscoelastic Orthotropic Strip Solved Using Analytical Method

“…This code has been previously tested and verified by authors on different transient wave problems (e.g. radial impact on a thin isotropic viscoelastic disc [7], transverse impact on an isotropic viscoelastic strip [2], impact on functionally graded beams [8] etc.) such that it can be said that its use does not mean the loss of analytical results accuracy.…”

Efficient implementation of an explicit partitioned shear and longitudinal wave propagation algorithm

“…The numerical evaluation of stress and displacement distributions versus time has been presented byČerv in [83]. For the sake of completeness, a response of a visco-elastic disc under sudden radial loading has been studied in [84], and dispersion of Rayleigh's wave in a disc has been published in [85]. As an example, numerical results of the elastic wave propagation problem in the disc are shown in Figure 14.…”