In this paper the dynamics of the interaction of attosecond laser pulses with matter is investigated. It will be shown that the master equation: modified Klein-Gordon equation describes the propagation of the heatons. Heatons are the thermal wave packets. When the duration of the laser pulses ∆t is of the order of attosecond the heatonthermal wave packets are nondispersive objects. For ∆t → ∞ t...

Most control techniques in the structural engineering literature are aimed at improving performance of the primary structural part, but they may have limited or reverse effect on the nonstructural component during strong seismic events. In this paper, we emphasize the nonstructural performance using a cubic nonlinear active control system optimized in the frequency response functions of an SDOF...

In this paper, the properties of photonic band gaps (PBGs) for three-dimensional (3D) photonic crystals (PCs) composed of isotropic positive-index materials and epsilon-negative materials with pyrochlore lattices are theoretically investigated by a modified plane wave expansion method. The eigenvalue equations of calculating the band structures for such 3D PCs in the first irreducible Brillouin...

Soliton damping in weakly dissipative media has been studied for several decades, usually using the asymptotic theory of the slowly-varying solitary wave solution of the Korteweg-de Vries (KdV) equation. Damping then occurs according to the energy balance equation, and a shelf is generated behind the soliton. Various examples of this process have been given by Ott & Sudan (1970) Pelinovsky (197...

The simulation results for electromagnetic energy harvesters (EMEHs) under broad band stationary Gaussian random excitations indicate the importance of both a high transformation factor and a high mechanical quality factor to achieve favourable mean power, mean square load voltage, and output spectral density. The optimum load is different for random vibrations and for sinusoidal vibration. Red...

This paper deals with nonlinear vibration analysis using finite element method for frame structures consisting of elastic and viscoelastic damping layers supported by multiple nonlinear concentrated springs with hysteresis damping. The frame is supported by four nonlinear concentrated springs near the four corners. The restoring forces of the springs have cubic non-linearity and linear componen...

u(0) = u0(x), with given parameters λ ∈ R and σ > 0, the latter describing the strength of the dissipation within our model. We shall consider the physically relevant situation of d 6 3 spatial dimensions and assume that the dissipative nonlinearity is at least of the same order as the cubic one, i.e. p > 3. However, in dimension d = 3, we shall restrict ourselves to 3 6 p 6 5. In other words, ...

The purpose of optimizing isolator parameters is to have a system that is stiff at low frequency but soft in high frequency. However, in this case a small amount of transmitted force will cause a large displacement in isolator. Exceeding the allowable relative displacement may cause serious damage to the system. Therefore a trade off between the transmitted force, which is indicated by absolute...