Thus we have, in a very limited field of research, briefly touched upon the relationship of the purely descriptive and experimental embryologist as to the methods of approach which each has taken in searching for the truth. The former points out the difficult barriers in the path of his progress. His judgment ofter later proves to be amazingly accurate in spite of the limitations of the methods...

In this paper we will study the non-linear oscillation of a conservative system having inertia and static non-linearities. By combining the linearization of the governing equation with the method of harmonic balance, we investigate analytical approximate solutions for the non-linear oscillations of the system. Unlike the classical harmonic balance method, linearization is performed prior to pro...

A time-domain harmonic balance method for the analysis of almost-periodic (multi-harmonics) flows is presented. This method relies on Fourier analysis to derive an efficient alternative to classical time marching schemes for such flows. It has recently received significant attention, especially in the turbomachinery field where the flow spectrum is essentially a combination of the blade passing...

CHRISTOFFERSEN, CARLOS ENRIQUE. State Variable Harmonic Balance Simulation of a Quasi-Optical Power Combining System. (Under the direction of Michael B. Steer.) A state variable implementation of harmonic balance circuit analysis is developed. The equations are formulated with the minimum number of unknowns starting from the modified nodal admittance matrix of the linear part of the circuit. Th...

In this work, the application of harmonic balance technique is demonstrated for transonic buffet cases. The method represents an alternative to time-marching simulations that are expensive complex flow Here applied on different test cases with inherently unsteady flows, i.e. two aerofoil configurations undergoing buffet. A gradient-based, variable time period used estimate frequency oscillation...

It is the purpose of this paper to introduce a computer software that is developed for the analysis of general multi degree of freedom rotor bearing systems with non-linear support elements. A numerical-analytical method for the prediction of steady state periodic response of large order nonlinear rotor dynamic systems is addressed which is based on the harmonic balance technique. By utilizing ...