This paper deals with the extraction of wave features in elastic media. An inverse approach is proposed for identification dispersion characteristics (e.g. k-space) one- and two-dimensional structures (1D, 2D). The method similar to ESPRIT algorithm Prony series can be considered as an extension latter, specifically when applied 1D problems. By using a convolution framework, extended 2D case wh...

Modern frequency power converters generate a wide spectrum of harmonic components. Large converter systems can also generate noncharacteristic harmonics and interharmonics. Standard tools of harmonic analysis based on the Fourier transform assume that only harmonics are present and the periodicity intervals are fixed, while periodicity intervals in the presence of interharmonics are variable an...

In this paper we consider several nonlinear systems of algebraic equations which can be called “Prony-type”. These systems arise in various reconstruction problems in several branches of theoretical and applied mathematics, such as frequency estimation and nonlinear Fourier inversion. Consequently, the question of stability of solution with respect to errors in the right-hand side becomes criti...

Let zj := e fj with fj ∈ (−∞, 0] + i [−π, π) be distinct nodes for j = 1, . . . ,M . With complex coefficients cj 6= 0, we consider a nonincreasing exponential sum h(x) := c1 e f1 x + . . . + cM e fM x (x ≥ 0). Many applications in electrical engineering, signal processing, and mathematical physics lead to the following problem: Determine all parameters of h, if 2N sampled values h(k) (k = 0, ....

A new algorithm based on least-squares method for harmonic and interharmonic analysis is proposed. The approach employs least-squares method and is based on a linear prediction relation for multiple sinusoidal signals. It is shown that the method allows for accurate harmonic and interharmonic estimation with high frequency resolution. The approach is compared with that of DFT method and prony m...

Abstract A finite element model of an impact test on a soft tissue simulant, used as part shoulder surrogate, was developed in Ansys© LS-DYNA ® . The surrogate consisted metal hemicylindrical core, with diameter 75 mm, covered 15 mm thick relaxed muscle simulant. simulant 14 layer silicone 1 chamois leather to represent skin. material properties the were obtained via quasi-static compression te...

This article presents a very detailed study on the mechanical characterization of highly nonlinear material, immature equine zona pellucida (ZP) membrane. The ZP is modeled as visco-hyperelastic soft matter. Arruda–Boyce constitutive equation and two-term Prony series are identified most suitable models for describing hyperelastic viscous components, respectively, ZP’s response. Material proper...