Proportional damping is a widely used approach to model dissipative forces in complex engineering structures and it has been used in various dynamic problems for more than ten decades. A major limitation of the mass and stiffness proportional damping approximation is the lack of generality of the model to allow for experimentally observed variation of damping factors with respect to vibration f...

We consider a model in which an outcome depends on two discrete treatment variables, where one treatment is given before the other. We formulate a three-equation triangular system with weak separability conditions. Without assuming assignment is random, we establish the identification of an average structural function using two-step matching. We also consider decomposing the effect of the first...

The Hilbert Transform (HT) and its properties, applied to the analysis of linear and non-linear vibrations, are discussed at great length in [1]. The application of the HT to a signal provides some additional information about amplitude, instantaneous phase and vibration frequency. This information is valid when applied to the analysis of non-linear vibration motions [2]. Moreover, it has been ...

In this article we consider one-dimensional linear thermoelastic system of Timoshenko type with linear frictional damping and a distributed delay acting on the displacement equation. The heat flux of the system is governed by Cattaneo’s law. Under suitable assumption on the weight of the delay and that of frictional damping, we establish the well-posedness result and prove that the system is ex...