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Improved Implementation of the Harmonic Balance Method
48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2007Harmonic Balance (HB) methods have been applied to non-linear aeroelastic problems since the 1980s. As the computational power available to researchers has increased, so has the order of calculated HB solutions. However, the computational cost of a HB solution increases with the square of the order. Additionally, the traditional Newton-Raphson, Broyden,
Vio, Gareth Arthur +2 more
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Harmonic Balance Method for Contra-Rotating Propellers
2022In order to reduce the total time-to-solution, while preserving the required time resolution resulting from the periodicity of the flow in the case of a set of Contra-Rotating Propellers (CRP), it is possible to use the spectral methods. These methods are based on the conversion of the required quantities from the time domain to the frequency domain ...
Ćurčin, Franko +2 more
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Adaptive harmonic balance method for nonlinear time-periodic flows
Journal of Computational Physics, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maple, Raymond C. +3 more
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Multi-probe harmonic balance method to simulate coupled oscillators
2009 3rd International Conference on Signals, Circuits and Systems (SCS), 2009In this paper the harmonic balance method is considered in conjunction with the probe insertion technique. In general, the nonlinear equations modeling the circuit in the frequency domain are solved with the Newton iterative method. Conventional probe insertion technique has become popular and implemented in commercial analog simulators, since in many ...
BRAMBILLA, ANGELO MAURIZIO +2 more
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Predicting chaos in memristive oscillator via harmonic balance method
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2012This paper studies the possible chaotic behaviors in a memristive oscillator with cubic nonlinearities via harmonic balance method which is also called the method of describing function. This method was proposed to detect chaos in classical Chua's circuit.
Wang, Xin +3 more
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Adaptive Harmonic Balance Methods, A Comparison
Harmonic balance method (HBM) is one of the most popular and powerful methods, which is used to obtain response of nonlinear vibratory systems in frequency domain. The main idea of the method is to express the response of the system in Fourier series and converting the nonlinear differential equations of motion into a set of nonlinear algebraic ...Onur Sert, Ender Cigeroglu
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A filter-based technique for the harmonic balance method
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1996The Harmonic Balance Method (HBM) allows an efficient determination of the steady-state solution of mildly non-linear circuits; however, in the presence of strong nonlinearities, it often fails to converge. The reasons of such behavior are investigated in this paper. In order to improve convergence, a modified HEM technique is presented, based upon the
BRAMBILLA, ANGELO MAURIZIO +1 more
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Harmonic balance method for time–delay chaotic systems design
IFAC Proceedings Volumes, 2011Abstract Aim of this paper is to introduce a procedure based on the harmonic balance method for the design of time–delay chaotic systems, starting from a simple feedback scheme consisting of a nonlinearity, a first-order integrator and a delay block. Through this approach, the conditions under which the considered scheme can show chaotic dynamics are ...
Buscarino A. +4 more
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Analysis of Oscillator Injection Locking by Harmonic Balance Method
2008 Design, Automation and Test in Europe, 2008A new approach to analyze injection locking mode of oscillators under small external excitation is proposed. The proposed approach exploits existence conditions of the solution of HB linear system with degenerate matrix. The method allows one to obtain the locking range for an arbitrary oscillator circuit with an arbitrary periodic injection waveform ...
M. M. Gourary +5 more
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Nonlinear Dynamic Analysis Using Harmonic Balance Method
Engineering Modelling, Analysis and SimulationThere is a high demand for nonlinear structural dynamics in implicit Finite Element Analysis (FEA). Although such methods are available, there are several obstacles to use them daily. One is their extreme and unpredictable computation time, which makes it often impossible to get results in time.
Michael Klein +2 more
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