In this article, a new systematic method for deriving the dynamic equations of motion for exible robotic manipulators is developed by using the Gibbs-Appell assumed modes method. The proposed method can be applied to the dynamic simulation and control system design of exible robotic manipulators. In the proposed method, the link de ection is described by a truncated modal expansion. All the mat...

Two-dimensional Raman-terahertz (THz) spectroscopy is presented as a multidimensional spectroscopy directly in the far-IR regime. The method is used to explore the dynamics of the collective intermolecular modes of liquid water at ambient temperatures that emerge from the hydrogen-bond networks water forming. Two-dimensional Raman-THz spectroscopy interrogates these modes twice and as such can ...

— Component mode synthesis belongs to the class ofGalerkin methods and enables to compute the eigenpairs of a differential operator on a domain that can be subdivided into different subdomains on each ofwhichpartofthe eigenpairs of the same operator are assumed to be known. Energy transfer between subdomains is achieved thanks to functions defined on the whole domain and called « static modes »...

We investigate the collective mode excitation spectrum of an electron gas in a quantum strip that is subjected to a perpendicular magnetic field, with emphasis on the dipole-forbidden transitions. The quantum strip is assumed to be defined in a two-dimensional electron gas by the application of a parabolic confining potential. A classical continuum theory of the collective modes is developed an...

A data-driven bandwidth choice for a kernel density estimator called critical bandwidth is investigated. This procedure allows the estimation to have as many modes as assumed for the density to estimate. Both Gaussian and uniform kernels are considered. For the Gaussian kernel, asymptotic results are given. For the uniform kernel, an argument against these properties is mentioned. These theoret...

A perturber may excite a coherent mode in a star cluster or galaxy. If the stellar system is stable, it is commonly assumed that such a mode will be strongly damped and therefore of little practical consequence other than redistributing momentum and energy deposited by the perturber. This paper demonstrates that this assumption is false; weakly damped modes exist and may persist long enough to ...

This paper considers a class of detection/localization problems in which the detector ooers multiple operating modes. The modes diier in their detection performance and geographical coverage: \focused" modes ooer higher detection performance but less coverage area than \broad search" modes. It is assumed that a signal source is to be detected and localized using a sequence of tests, each possib...

We propose an algorithm that combines Proper Orthogonal Decomposition with a spectral method to analyse and extract from time data series of velocity fields, reduced order models of flows. The flows considered in this study are assumed to be driven by non linear dynamical systems exhibiting a complex behavior within quasi-periodic orbits in the phase space. The technique is appropiate to achiev...

When building a multivariate statistical process control model, it is commonly assumed that there is only one operational mode in the baseline data. However, multiple operational modes may exist due, for example, to several suppliers of raw materials or seasonal changes. It is important to know the number of modes in the data in order to construct an effective process control system. Each opera...