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manuscript for publication acknowledges that the United States Government retains a non-exclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this manuscript, or allow others to do so, for United States Government purposes. This preprint is intended for publication in a journal or proceedings. Since changes may be(More)
– Frisch-ring CdZnTe detectors have demonstrated good energy resolution for identifying isotopes, <1% FWHM at 662 keV, and good efficiency for detecting gamma rays. We will fabricate and test at Brookhaven National Laboratory an integrated module of a 64-element array of 6x6x12 mm 3 Frisch-ring detectors, coupled with a readout electronics system. It(More)
This paper aims to directly extend the Hamiltonian approach and coupled homotopy-variational formulation to study the periodic solutions of the Helmholtz-Duffing oscillator. The results of numerical example are presented and only a few terms are required to obtain accurate solutions. Results derived from this method are shown graphically. The behaviors of(More)
Many homeland security applications involving gamma-ray detectors require energy resolution of better than 1%&#x2013;2% for isotope identification. Existing High-Purity germanium (HPGe) detectors have the needed energy resolution but suffer from large size and the need for liquid-nitrogen or electromechanical cooling. Compact, inexpensive,(More)
This paper deals with large amplitude oscillation of a nonlinear pendulum attached to a rotating structure. The concept of amplitude-frequency formulation and He's energy balance method is briefly introduced, and its application for the rotational pendulum system is studied Accuracy and validity of the proposed techniques are then verified by comparing the(More)
In this paper, the Hamiltonian approach is applied to nonlinear vibrations and oscillations. Periodic solutions are analytically verified and consequently the relationship between the natural frequency and the initial amplitude is obtained in an analytical form. The method is applied to four nonlinear differential equations. It has indicated that by(More)
A modified variational approach called Global Error Minimization (GEM) method is developed for obtaining an approximate closed-form analytical solution for nonlinear oscillator differential equations. The proposed method converts the nonlinear differential equation to an equivalent minimization problem. A trial solution is selected with unknown parameters.(More)
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