Nancy J. Lybeck

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The overlapping sinc{collocation domain decomposition method combined with the Schwarz alternating technique is developed for two-point boundary-value problems for second-order ordinary diierential equations with singularities. The discrete system is formulated and the solution technique is described. It is shown that this method has an exponential(More)
The sinc{collocation overlapping method is developed for two-point boundary-value problems for second-order ordinary diierential equations. The discrete system is formulated and the bordering algorithm used for the solution of this system is described. It is then shown that the convergence rate is exponential even if the solution has boundary singularities.(More)
Accurate modeling of the dynamic mechanical behavior of elastomers presents many challenges, including the nonlinear relationship between stress and strain, the loss of kinetic energy (damping), and the loss of potential energy (hysteresis). Currently available software packages for studying the stress-strain laws in rubber-like materials assume a form of(More)
We report on our eeorts to model nonlinear dynamics in elastomers. Our eeorts include the development of computational techniques for simulation studies and for use in inverse or system identiication problems. As a rst step towards the full dynamic case, we present the static inverse problem, with experimental results. We also present results from the(More)
—A fundamental problem in the development and validation of PHM technologies is the general shortage of realistic fault signature data. While healthy signatures can be obtained from operational systems, faults are relatively rare and difficult to observe. The PHM community must rely primarily on bench level seeded fault test data collected under a limited(More)
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