because of fluctuation in leg tension, pitch motion is very effective fatigue and life safety of leg elements in tension leg structures (tlss). in this paper an exact solution for pitch vibration of a tls interacting with ocean wave is presented. the legs of tlp are considered as elastic springs. the flow is assumed to be irrotational and single-valued velocity potentials are defined. the effec...

We present a theoretical study of linear wave scattering in one-dimensional nonlinear lattices by intrinsic spatially localized dynamic excitations or discrete breathers. These states appear in various nonlinear systems and present a time-periodic localized scattering potential for plane waves. We consider the case of elastic one-channel scattering, when the frequencies of incoming and transmit...

The inelastic scattering rates of quasiparticles in a two-dimensional d-wave superconductor, which arise from interactions with either acoustic phonons or other quasiparticles, are calculated within second order perturbation theory. We discover a strong enhancement of scattering with collinear momenta, brought about by the special kinematics of the two-dimensional fermions with Dirac-like spect...

1.Introduction The wave scattering from rough surfaces is an important problem which closely relates to the measurement technology or diagnosing techniques by using microwave, millimeter wave, light wave or acoustic wave (1). Various kinds of theoretical models and methods for analyzing the wave scattering from random rough surfaces have been proposed so far. However, they have often used appro...

Many-body scattering problem is solved asymptotically when the size of the particles tends to zero and the number of the particles tends to infinity. A method is given for calculation of the number of small particles and their boundary impedances such that embedding of these particles in a bounded domain, filled with known material, results in creating a new material with a desired refraction c...

Arbitrary waves incident on a solid embedded nanoparticle are studied. The acoustic vibrational frequencies are shown to correspond to the poles of the scattering cross section in the complex frequency plane. The location of the poles is unchanged even if the incident wave is nonplanar. A second approach approximating the infinite matrix as a very large shell surrounding the nanoparticle provid...

We are interested in the experimental characterization of the Hofstadter butterfly by means of acoustical waves. The transmission of an acoustic pulse through an array of 60 variable and resonant scatterers periodically distribued along a waveguide is studied. An arbitrary scattering arrangement is realized by using the variable length of each resonator cavity. For a periodic modulation, the st...