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Wade Hampton, SC, United States

Bob Jones University is a private non-denominational Protestant university in Greenville, South Carolina, known for its conservative cultural and religious positions. It has approximately 2,800 students, and the school is accredited by the Transnational Association of Christian Colleges and Schools. In 2008, the university estimated the number of its graduates at 35,000. The university's athletic teams compete in Division I of the National Christian College Athletic Association and are collectively known as the Bruins. Wikipedia.

Gardenghi M.,Bob Jones University | Wiecek M.M.,Clemson University | Wang W.,Clemson University
Structural and Multidisciplinary Optimization | Year: 2013

Analytical target cascading (ATC), a hierarchical, multilevel multidisciplinary methodology, has proved to be an effective solution strategy for complex design problems. ATC decomposition and coordination incorporates compromise between the performance of the system and the demands of the subproblems reflected in their feasibility constraints. Optimal system performance regardless of subproblem feasibility may yield targets that are not achievable by the subproblems. Compromise is needed to accept deterioration of the optimal system performance and to increase the achievability of the targets. Biobjective optimization is used to reconcile system optimality and subproblem achievability of targets while solving the ATC-decomposed problem and generating an overall optimal solution. Three algorithms are proposed for two-level ATC-decomposed problems. The effectiveness of the algorithms is evaluated on mathematical and engineering examples. For a class of ATC problems, the performance of the proposed algorithms is superior to the performance of the ATC methods currently considered to be state of the art. © 2012 Springer-Verlag.

Samec R.G.,Pisgah Astronomical Research Institute | Kring J.D.,Bob Jones University | Robb R.,University of Victoria | Van Hamme W.,Florida International University | Faulkner D.R.,University of South Carolina
Astronomical Journal | Year: 2015

GSC 3208 1986 is an NSVS and TYCHO binary, first observed from 1999 to 2000. It is a W UMa binary with a period of 0.405 days. The present observations were taken in 2012 September and are of high precision, averaging a standard deviation of better than 5 mmag. The amplitude of the light curve is very nearly 0.5 mag yet it undergoes total eclipses. Dominion Astrophysical Observatory spectra give an F3V type (T ∼ 6900 K) for the system, the earliest of the extreme mass ratio W UMa binaries. The linear period determination of 0.4045672 days was calculated with the two sets of epochs available. An early NSVS light curve reveals that the period has been smoothly decreasing over its past 12,000 orbits. The binary may be undergoing sinusoidal oscillations due to the presence of a third body, possibly with a period of 23 ± 3 years. The high inclination of 85° results in a long duration secondary total eclipse, lasting some 49.5 minutes. Findings indicate that GSC 3208 1986 is an immaculate extreme mass ratio, q(m2/m1) = 0.24, A-type W UMa binary. © 2015. The American Astronomical Society. All rights reserved.

Samec R.G.,Pisgah Astronomical Research Institute | Clark J.D.,Bob Jones University | Van Hamme W.,Florida International University | Faulkner D.R.,University of South Carolina
Astronomical Journal | Year: 2015

Complete Bessel BVRI light curves of ZZ Eridani [2MASS J04130109-1044545, HV 6280, NSVS 14888164 α(2000) = 04h13m1s10, δ(2000) = -10°44′54″.5 (ICRS), V = 13.9-14.4-15.0] are observed and analyzed. The system is a southern pre-contact W UMa binary. Its light curve has the appearance of an Algol (EA) light curve, however, it is made up of dwarf solar-type components with a period of only 0.4521 days. Our 34 year period study yields a sinusoidal fit or an increasing quadratic fit. The sinusoid may indicate that a third body is orbiting the close binary. The lower-limit mass of the third body is near that of the brown dwarf limit (0.095 M⊙). Also included is an improved ephemeris, a mass ratio search, and a simultaneous BVRI Wilson-Devinney solution. © 2015. The American Astronomical Society. All rights reserved.

Samec R.G.,Pisgah Astronomical Research Institute | Koenke S.S.,Bob Jones University | Faulkner D.R.,University of South Carolina
Astronomical Journal | Year: 2015

A 2012 follow up to the analysis of 2009 observations is presented for the very short period (∼0.43 days) precontact W UMa binary (PCWB) V1001 Cassiopeia. Its short period, similar to the majority of W UMa binaries, and its distinct EA light curve make it a very rare and interesting system for continuing photometric investigation. Previous photometric VRI standard magnitudes give a K4 spectral type. Our solutions of light curves separated by some three years give approximately the same physical parameters. However, the spots have radically changed in temperature, area, and position. While only one dark spot was used to model the first curves, two hot spots are now needed. This affects the overall shape of the light curve, especially in the secondary eclipses in B and V. Additional eclipse timings now show that the orbital period is changing. We conclude that spots are very active on this solar-type dwarf system and that it may mimic its larger cousins, the RS CVn binaries. The conclusion is that analysis now needs to be directed at the continuous time evolution of PCWBs. © 2015. The American Astronomical Society. All rights reserved..

Wang W.,Clemson University | Blouin V.Y.,Clemson University | Gardenghi M.K.,Bob Jones University | Fadel G.M.,Clemson University | And 2 more authors.
Journal of Mechanical Design, Transactions of the ASME | Year: 2013

Analytical target cascading (ATC), a hierarchical, multilevel, multidisciplinary coordination method, has proven to be an effective decomposition approach for large-scale engineering optimization problems. In recent years, augmented Lagrangian relaxation methods have received renewed interest as dual update methods for solving ATC decomposed problems. These problems can be solved using the subgradient optimization algorithm, the application of which includes three schemes for updating dual variables. To address the convergence efficiency disadvantages of the existing dual update schemes, this paper investigates two new schemes, the linear and the proximal cutting plane methods, which are implemented in conjunction with augmented Lagrangian coordination for ATC-decomposed problems. Three nonconvex nonlinear example problems are used to show that these two cutting plane methods can significantly reduce the number of iterations and the number of function evaluations when compared to the traditional subgradient update methods. In addition, these methods are also compared to the method of multipliers and its variants, showing similar performance. Copyright © 2013 by ASME.

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