A method for calculating amplitudes and constructing frequency characteristics of forced self-excited vibrations a rotor-fluid-foundation system on rolling bearings with non-linear characteristic based the complex harmonic balance has been developed. Non-linear equations motion are derived, analytical methods their solution presented. Frequencies fundamental ultra-harmonic resonances determined...

The time and place that Brownian motion on a Riemannian manifold first exits a normal ball of radius e is considered and a general procedure is given for computing asymptotic expansions, as e decreases to zero, for joint moments of the first exit time and place random variables. It is proven that asymptotic versions of exit time and place distribution properties that hold on harmonic spaces are...

Everyone who initially studies the harmonic oscillator is immediately barraged with examples of pendula and blocks with springs. If the only significance of the harmonic oscillator lay in these examples it would be pretty limiting. In physics, the harmonic oscillator is an extremely important problem, for a simple reason. Say, for example, you have a potential, V (x), for some system and you wa...

This paper extends the capabilities of the harmonic potential field approach to planning to cover both the kinematic and dynamic aspects of a robot’s motion. The suggested approach converts the gradient guidance field from a harmonic potential to a control signal by augmenting it with a novel type of dampening forces suggested in this paper called: nonlinear, anisotropic, dampening forces (NADF...

Scanning movements are added to tracking antenna trajectory to estimate the true spacecraft position. The scanning movements are composed of harmonic axial movements of an antenna. This scanning motion produces power variations of the received signal, which are used to estimate spacecraft position. Three different scanning patterns (conical scan, Lissajous scan, and rosette scan) are presented ...

A method is presented to calculate thermodynamic conformational entropy of a biomolecule from molecular dynamics simulation. Principal component analysis (the quasi-harmonic approximation) provides the first decomposition of the correlations in particle motion. Entropy is calculated analytically as a sum of independent quantum harmonic oscillators. The largest classical eigenvalues tend to be m...

Given the worldwide industry progress in the construction of massive concrete structures, it would be a good idea to use concrete gravity base structures (GBS).In this regard, better understanding of thesestructuresregardingtheiradvantages and disadvantages in offshore areas seems necessary.The present study employed MacCammy-Fuchs method, which is based on the size of the structure to the wave...

Scanning movements are added to a tracking antenna's trajectory to estimate the true spacecraft position. T h e scanning movements are composed of the harmonic axial movements of an antenna. This motion produces power variations of t he received signal, which are used to estimate the spacecraft's position. Three different scanning patterns (conical scan, Lissajous scan, and rosette s can ) are ...

In dynamic atomic force microscopy, nanoscale properties are encoded in the higher harmonics. Nevertheless, when gentle interactions and minimal invasiveness are required, these harmonics are typically undetectable. Here, we propose to externally drive an arbitrary number of exact higher harmonics above the noise level. In this way, multiple contrast channels that are sensitive to compositional...

Measurements are presented by the CMS Collaboration at the Large Hadron Collider (LHC) of the higher-order harmonic coefficients that describe the azimuthal anisotropy of charged particles emitted in √ sNN = 2.76 TeV PbPb collisions. Expressed in terms of the Fourier components of the azimuthal distribution, the n = 3–6 harmonic coefficients are presented for charged particles as a function of ...