A simulation formalism for the nonlinear response of vibrational excitons is presented and applied to the OH stretching vibrations of neat liquid H(2)O. The method employs numerical integration of the Schrodinger equation and allows explicit treatment of fluctuating transition frequencies, vibrational couplings, dipole moments, and the anharmonicities of all these quantities, as well as nonadia...

The aim of this paper is to design a robust output-feedback controller to eliminate torsional stick-slip vibrations. A multi-modal model of the torsional dynamics with a nonlinear bit-rock interaction model is used. The controller design is based on skewed-μ DK-iteration and the stability of the closed-loop nonlinear system is analyzed. The proposed controller design strategy offers significant...

It is well known that a conventional Input Shaping Technique is not very effective in suppressing residual vibrations for non-LTI systems, such as Substantially nonlinear or timevarying systems. In an effort to increase the effectiveness for such systems, this paper presents a Learning Input Shaping Technique(LIST), which iteratively updates the parameters of the IST from the previous trials. S...

Application of deconvolution interferometry to earthquake data recorded inside a building is a powerful technique for monitoring parameters of the building, such as velocities of traveling waves, frequencies of normal modes, and intrinsic attenuation. In this study, we apply interferometry to ambient-vibration data, instead of using earthquake data, to monitor a building. The time continuity of...

We consider the effects of a velocity-independent friction force on cantilever damping. It is shown that this dissipation mechanism causes nonlinear effects in the cantilever vibrations. The size of the nonlinear-ity increases with decreasing cantilever velocity. Our analysis makes it possible to understand Stipe's et al. [1] experiments where an amplitude dependence of the cantilever eigenfreq...

Expressions are derived for additional contributions to the linear, quadratic, and cubic electric susceptibilities of molecular crystals that arise when molecules are displaced by the applied electric field. The contributions depend on quantities related to the infrared intensity of lattice vibrations, to the Raman intensity of lattice vibrations, and to the intensity of hyper-Rayleigh scatteri...

The N-H stretching vibrations of adenine, one of the building blocks of DNA, are studied by combining infrared absorption and nonlinear two-dimensional infrared spectroscopy with ab initio calculations. We determine diagonal and off-diagonal anharmonicities of N-H stretching vibrations in chemically modified adenosine monomer dissolved in chloroform. For the single-quantum excitation manifold, ...

In this paper, an active vibration control of a translating tensioned steel strip in the zinc galvanizing line is investigated. The dynamics of the moving strip is modeled as an Euler-Bernoulli beam with nonlinear tension. The control objective is to suppress the transverse vibrations of the strip via boundary control. A right boundary control law based upon the Lyapunov’s second method is deri...

Stable normal-mode vibrations in engineering can be undesirable and one of the possibilities for quenching these is by embedding the oscillator in an autoparametric system by coupling to a damped oscillator. There exists the possibility of destabilizing the undesirable vibrations by a suitable tuning and choice of nonlinear coupling parameters. An additional feature is that, to make the quenchi...

We have analyzed vibrations generated in an orthogonal cutting process. Using a simple one degree of freedom model of the regenerative cutting we have observed the complex behaviour of the system. In presence of a shaped cutting surface, the nonlinear interaction between the tool and a workpiece leads the to chatter vibrations of periodic, quasi-periodic or chaotic type depending on system para...