Nonlinear interactions between different disturbances in a hypersonic boundary layer are investigated by bispectral analysis. Experiments performed on flared cone at Mach 6 using fast-response pressure sensors and Rayleigh-scattering flow visualization. At the modal growth stage, phase-coupled sum have profound effects of disturbances. Then, difference contribute to spectral broadening. final n...

Nonlinear modes are a well investigated concept in dynamical systems theory, extending the celebrated modal analysis of linear mechanical to nonlinear ones. This letter moves first step direction combining control theory and towards implementation hyper-efficient oscillatory behaviors with non-Euclidean metric. Rather than forcing prescribed evolution, we investigate regular that can be autonom...

Visualizing the book of the future, one might consider multi-modal integrations, non-linear reading strategies, Internet distribution, and customizable configurations to suit different user/reader profiles. In the first part of this paper, we discuss such concepts critically. The second part deals with a more profound aspect of electronic documents, one which could modify the very act of readin...

Understanding the various mechanisms of nonlinear mode coupling in micro and nano resonators has become an imminent necessity for their successful implementation in practical applications. However, consistent, repeatable, and flexible experimental procedures to produce nonlinear mode coupling are lacking, and hence research into well-controlled experimental conditions is crucial. Here, we demon...

In order to build efficient reduced-order models (ROMs) for geometrically nonlinear vibrations of thin structures, a normal form procedure is computed for a general class of nonlinear oscillators with quadratic and cubic nonlinearities. The linear perturbation brought by considering a modal viscous damping term is especially addressed in the formulation. A special attention is focused on how al...

Many learning problems in real world applications involve rich datasets comprising multiple information modalities. In this work, we study co-regularized PLSA (coPLSA) as an efficient solution to probabilistic topic analysis of multi-modal data. In coPLSA, similarities between topic compositions of a data entity across different data modalities are measured with divergences between discrete pro...

Incremental Dynamic Analysis (IDA) procedure is now considered as a robust tool for estimating the seismic sidesway collapse capacity of structures. However, the procedure is time-consuming and requires numerous nonlinear response-history analyses. This paper proposes a simplified Modal Pushover Analysis (MPA) procedure for IDA of RC moment-resisting frames. The proposed method uses the dynamic...