In many cases, modeling a mechanical process may require a good understanding of signals issued from the system, as vibration accelerations. This is particularly the case when shocks are responsible of the vibrations. In the case of critical systems, each shock induces natural modes excitation with damped sines amplitudes. Identification of the shocks (occuring instants and induced vibrations) ...

Abstract Ambient cured epoxy adhesive is widely used for bonding fibre reinforced polymer (FRP) plates to metallic structures. The present paper examines a typical strengthening investigate the effect of thermo-viscoelasticity. response was determined using series tests multi-frequency scanning mode dynamic mechanical analyser (DMA). thermo-mechanical properties were then characterised time–tem...

Negative characteristics are given throughout for the logarithms of the trigonometric functions, when the corresponding numbers are less than unity. This departure from the usual custom of increasing the logarithms by 10 can hardly be regarded as an improvement. The greatest possible care has been taken to secure the accuracy of the tables ; and in this respect they may be greatly commended. Th...

In this paper a Prony-like method for non-uniform sampling is proposed. The unknown parameters are estimated on the base of a new linear regression equation which uses filtered signals obtained directly from the measurements. The approach uses the derivative method in the frequency domain yielding exact formula in terms of multiple integrals of the signal, when placed in the time domain. These ...

Prony 's method is employed in spectral domain estimation to model epilepsy seizure from human 's Electroencephalograph (EEG).This method assumes that the original signal is a sum of damped complex exponential sinusoids. The method has the best frequency resolution compared to Auto Regression (AR) parametric methods. Modeling of the ictal EEG Epilepsy signal is based on the poles of the signal....

In this paper we develop rational discrete-time approximations (IIR filters) to continuous fractional-order integrators and differentiators of type sα, α ∈ R. For that, it is proposed the adoption of the techniques of Padé, Prony and Shanks usually applied in the signal modelling of deterministic signals. These methods yield suboptimal solutions to the problem which only requires finding the so...