E
Eric A. Butcher
Researcher at New Mexico State University
Publications - 114
Citations - 1939
Eric A. Butcher is an academic researcher from New Mexico State University. The author has contributed to research in topics: Nonlinear system & Delay differential equation. The author has an hindex of 23, co-authored 107 publications receiving 1771 citations. Previous affiliations of Eric A. Butcher include University of Alaska Fairbanks & Sandia National Laboratories.
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Stability of linear time-periodic delay-differential equations via Chebyshev polynomials
TL;DR: In this paper, a technique for studying the stability properties of dynamic systems modeled by delay-differential equations (DDEs) with time-periodic parameters is presented. But it is not suitable for second-order systems, since the number of polynomials employed in the approximation can be selected in advance for a desired tolerance.
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New breathing functions for the transverse breathing crack of the cracked rotor system: Approach for critical and subcritical harmonic analysis
TL;DR: In this article, two new breathing functions were identified to represent the actual breathing effect on the cracked element stiffness matrix, which were then used in formulating the time-varying finite element stiffness matrices of a cracked element.
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Analysis of Milling Stability by the Chebyshev Collocation Method: Algorithm and Optimal Stable Immersion Levels
TL;DR: In this article, the dynamic stability of the milling process is investigated through a single degree-of-freedom model by determining the regions where chatter (unstable) vibrations occur in the two-parameter space of spindle speed and depth of cut.
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On the Chebyshev spectral continuous time approximation for constant and periodic delay differential equations
TL;DR: In this article, the authors used the Chebyshev spectral continuous time approximation (ChSCTA) technique to study the stability of first and second-order constant coefficient DDEs, a delayed system with a cubic nonlinearity and parametric sinusoidal excitation, the delayed Mathieu's equation, and delayed systems with two fixed delays.
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General harmonic balance solution of a cracked rotor-bearing-disk system for harmonic and sub-harmonic analysis: Analytical and experimental approach
TL;DR: In this paper, the effect of crack depth on vibration amplitudes and whirl orbit shapes is investigated through a general harmonic balance technique and experimental verification, and it is shown that the unique signature of orbits for the breathing crack model can be used as an indication of a breathing crack in the shaft.