A qualitative method to verify the presence of parametric oscillations at ${f_{0}}/{2}$ in power amplifiers (PAs) is presented and validated. It relies on simultaneous application fundamental subharmonic tones trigger possible can be implemented any commercial harmonic balance solver without requiring external software that may expensive or however not available designer. Wide applicability gua...

This article presents a Harmonic Balance Method-based numerical strategy to provide qualitative characterization of compressor blade’s dynamics when structural contacts occur with the surrounding casing. The mitigation Gibbs phenomenon follows two-pronged approach: (1) regularization unilateral contact law and (2) adjustment Fourier coefficients by means Lanczos filtering technique. In order va...

The non-uniform air gap in an electrical machine caused by rotor eccentricity creates an asymmetrical flux-density distribution in the air gap. This can affect the nominal torque produced by the machine. Eccentricity also produces forces that act on the rotor which may also have an effect on the torque. Thus, it is important to know how the torque of the machine behaves. In this paper, the torq...

Aalto University, P.O. Box 11000, FI-00076 Aalto www.aalto.fi Author Mikko Honkala Name of the doctoral dissertation Building blocks for fast circuit simulation Publisher School of Electrical Engineering Unit Department of Radio Science and Engineering Series Aalto University publication series DOCTORAL DISSERTATIONS 174/2012 Field of research Circuit theory Manuscript submitted 8 June 2012 Dat...

The harmonic content of periodic solutions in ODEs is obtained using standard techniques of harmonic balance and the fast Fourier transform (FFT). For the first method, the harmonic content is attained in the vicinity of the Hopf bifurcation condition where a smooth branch of oscillations is born under the variation of a distinguished parameter. The second technique is applied directly to numer...

introduction we aimed to introduce a 6-universal-prismatic-spherical (ups) parallel mechanism for the human jaw motion and theoretically evaluate its kinematic problem. we proposed a strategy to provide a fast and accurate solution to the kinematic problem. the proposed strategy could accelerate the process of solution-finding for the direct kinematic problem by reducing the number of required ...

In this paper we consider numerical approximations of a constraint minimization problem, where the object function is a quadratic Dirichlet functional for vector fields and the interior constraint is given by a convex function. The solutions of this problem are usually referred to as harmonic maps. The solution is characterized by a nonlinear saddle point problem, and the corresponding lineariz...

In many practical applications, for instance, in computational electromagnetics, the excitation is time-harmonic. Switching from the time domain to the frequency domain allows us to replace the expensive time-integration procedure by the solution of a simple elliptic equation for the amplitude. This is true for linear problems, but not for nonlinear problems. However, due to the periodicity of ...

The Schrödinger-Newton equation has gained attention in the recent past as a nonlinear modification of the Schrödinger equation due to a gravitational self-interaction. Such a modification is expected from a fundamentally semi-classical theory of gravity and can, therefore, be considered a test case for the necessity of the quantisation of the gravitational field. Here we provide a thorough stu...