Properties of small amplitude oscillations of the single reed woodwind instruments near the oscillation threshold are investigated. Analytical formulae with explicit dependence on the physical parameters of the instrument and instrumentist allow to determine the bifurcation point, the nature of the bifurcation, the amplitude of the first harmonics and the oscillation frequency. The model, which...

Abstract Dynamics and stability of average current control of DC-DC converters are analyzed by sampleddata modeling. Orbital stability is studied and it is found unrelated to the ripple size of the orbit. Compared with the averaged modeling, the sampled-data modeling is more accurate and systematic. An unstable range of compensator pole is found by simulations, and is predicted by sampled-data ...

The harmonic balance method is used in most current commercial RF simulation tools. This is due to the fact that it has certain advantages over other common methods used in SPICE, namely (modified) nodal analysis (MNA), which make it better suited to simulate stiff problems and circuits containing transmission lines, nonlinearities and dispersive effects. In this project, the harmonic balance a...

Animals eat different amounts of different diets, which implies that they recognize some quality or qualities of the diet. Both Cowgill' and Adolph1 were aware of this problem, but no one appears to have made a systematic attempt to define the dietary quality recognized by animals. Both of these workers were led to the opinion that their animals seemed to "eat for calories," i.e., for energy. H...

A frequency-domain approach to efficiently simulate and minimize the crosstalk between high speed interconnects is proposed in this paper. Several methods for modeling coupled microstrip transmission lines are discussed. Several possible simulation strategies are also considered. A straightforward yet rigorous frequency domain approach is followed. This approach can be used for linearly and non...

The paper deals with the characterization of Hopf bifurcations in families of third order autonomous systems involving quadratic nonlinearities. By employing Harmonic Balance (HB) tools, the set of system parameters corresponding to supercritical and subcritical bifurcations is analytically determined, together with an approximation of the actual bifurcated periodic solution. It is believed tha...

the graphical technique for nonlinear circuits was described that enable us to optimize circuits to obtain maximum output power, maximum efficiency or minimum intermodulation. according to this method a high power amplifier in the ka band was designed. using a nonlinear model of the transistor, optimum slope for load-line was determined so that maximum power at the output was obtainable, then ...

The Harmonic Balance method is an attractive solution for computing periodic responses and can be an alternative to time domain methods, at a reduced computational cost. The current paper investigates using a Harmonic Balance method for simulating limit cycle oscillations under uncertainty. The Harmonic Balance method is used in conjunction with a nonintrusive polynomial-chaos approach to propa...

The nonlinear characteristics of a general multiple degree-of-freedom suspension bridge under harmonic excitation are studied with an innovative approach consisting the modes, finite element modeling and incremental balance method. geometric nonlinearity induced by large-amplitude vibration is considered. mode mean kinetic energy system proposed to describe responses. can be expressed as linear...

A model of laminated cylindrical shells with discontinuous piezoelectric layer is proposed. Based on the first-order shear nonlinear shell theory, vibration control point-supported elastic boundary condition analyzed. In this model, a series artificial springs are introduced to simulate arbitrary conditions. And elastic-electrically coupled differential equations obtained by Chebyshev polynomia...