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Mechanical Engineering Commons

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Aerospace Engineering

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University of Tennessee, Knoxville

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Full-Text Articles in Mechanical Engineering

A Shooting Algorithm For Complex Immunodominance Control Problems, Xiaopeng Zhao, R Yang, M Zhang Jan 2009

A Shooting Algorithm For Complex Immunodominance Control Problems, Xiaopeng Zhao, R Yang, M Zhang

Faculty Publications and Other Works -- Mechanical, Aerospace and Biomedical Engineering

Although T cells are able to recognize a wide variety of target peptides, they are often strongly focused on a few of the peptides and leave the rest of them unattended. This phenomenon of strongly biased immune response is known as immunodominance. Mathematically, an immunodominance problem can be formulated using optimal control principles as a two-point boundary-value problem. The solution of this problem is challenging especially when the control variables are bounded. In this work, we develop a numerical algorithm based on the shooting technique for bounded optimal control problems. The algorithm is applied to a group of immunodominance problems. …


Robust-Adaptive Magnetic Bearing Control Of Flexible Matrix Composite Rotorcraft Driveline, Hans August Desmidt, Kon-Well Wang, Edward Smith Jan 2008

Robust-Adaptive Magnetic Bearing Control Of Flexible Matrix Composite Rotorcraft Driveline, Hans August Desmidt, Kon-Well Wang, Edward Smith

Faculty Publications and Other Works -- Mechanical, Aerospace and Biomedical Engineering

Recent studies demonstrate that a key advantage of Flexible Matrix Composite (FMC) shaft technology is the ability to accommodate misalignments without need for segmenting or flexible couplings as required by conventional alloy and graphite/epoxy composite shafts. While this is indeed a very promising technology for rotorcraft driveshafts, the high damping loss-factor and thermal stiffness and damping sensitivities of the urethane matrix, makes FMC shafting more prone to self-heating and whirl instabilities. Furthermore, the relatively low bending stiffness and critical speeds of FMC shafts makes imbalance vibration a significant challenge to supercritical operation. To address these issues and advance the state-of-the-art, …