Brandon Shim - Academia.edu (original) (raw)
Papers by Brandon Shim
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This paper develops a piecewise-affine (PWA) controller for a nonlinear three degree of freedom (... more This paper develops a piecewise-affine (PWA) controller for a nonlinear three degree of freedom (DDF) helicopter model. To design this controller a local linear controller is designed for a PWA approximation of the model in the region where the desired closed-loop equilibrium point lies. An optimization problem subject to bilinear matrix inequalities (BMIs) is then solved to find a PWA
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Mineralogy and Petrology, 2010
The 2004-discovery of the post-perovskite transition initiated a vigorous effort in high-pressure... more The 2004-discovery of the post-perovskite transition initiated a vigorous effort in high-pressure, high-temperature mineralogy and mineral physics, seismology and geodynamics aimed at an improved understanding of the structure and dynamics of the D"-zone. The phase transitions in basaltic and peridotitic lithologies under pT-conditions of the lowermost mantle can explain a series of previously enigmatic seismic discontinuities. Some of the other seismic properties of the lowermost mantle are also consistent with the changes in physical properties related to the perovskite (pv) to post-perovskite (ppv) transition. After more than 25 years of seismic tomography, the lowermost mantle structure involving the sub-Pacific and sub-African Large Low Shear-Velocity Provinces (LLSVPs) has become a robust feature. The two large antipodal LLSVPs are surrounded by wide zones of high Vs under the regions characterized by Mesozoic to recent subduction. The D" is further characterized by a negative correlation between shear and bulk sound velocity which could be partly related to an uneven distribution of pv and ppv. Ppv has higher VS and lower \( V_{\Phi } \) (bulk sound speed) than pv and may be present in thicker layers in the colder regions of D". Seismic observations and geodynamic modelling indicate relatively steep and sharp boundaries of the 200-500 km thick LLSVPs. These features, as well as independent evidence for their long-term stability, indicate that they are intrinsically denser than the surrounding mantle. Mineral physics data demonstrate that basaltic lithologies are denser than peridotite throughout the lowermost mantle and undergo incremental densification due to the pvppv- transition at slightly shallower levels than peridotite. The density contrasts may facilitate the partial separation and accumulation of basaltic patches and slivers at the margins of the thermochemical piles (LLSVPs). The slopes of these relatively steep margins towards the adjacent horizontal core-mantle boundary (CMB) constitute a curved (concave) thermal boundary layer, favourable for the episodic generation of large mantle plumes. Reconstruction of the original positions of large igneous provinces formed during the last 300 Ma, using a paleomagnetic global reference frame, indicates that nearly all of them erupted above the margins of the LLSVPs. Fe/Mg-partitioning between pv, ppv and ferropericlase (fp) is important for the phase and density relations of the lower mantle. Electronic spin transition of Fe2+ and Fe3+ in the different phases may influence the Fe/Mg-partitioning and the radiative thermal conductivity in the lowermost mantle. The experimental determination of the \( {K_D}{^{Fe/Mg}_{pv/fp}}\left[ { = {{\left( {Fe/Mg} \right)}_{pv}}/{{\left( {Fe/Mg} \right)}_{fp}}} \right] \) and \( {K_D}{^{Fe/Mg}_{ppv/fp}} \) is technologically challenging. Most studies have found a \( {K_D}{^{Fe/Mg}_{pv/fp}} \) of 0.1-0.3 and a higher Fe/Mg-ratio in ppv than in pv. The experimental temperature is important, with the partitioning approaching unity with increasing temperature. Although charge-coupled substitutions of the trivalent cations Al and Fe3+ seem to be important in both pv and ppv (especially in basaltic compositions), the complicating crystal-chemistry effects of these cations are not fully clarified. The two anti-podal thermochemical piles as well as the thin ultra-low velocity zones next to the CMB may represent geochemically enriched reservoirs that have remained largely isolated from the convecting mantle through a major part of Earth history. The existence of such “hidden” reservoirs have previously been suggested in order to account for the imbalance between the inferred composition of the geochemically accessible convecting mantle and the observed heat flow from the Earth and chondritic models for the bulk Earth.
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Medicine and Science in Sports and Exercise, 2002
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Medicine and Science in Sports and Exercise, 2001
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Medicine and Science in Sports and Exercise, 2002
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Journal of Sports Sciences, 2003
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Medicine and Science in Sports and Exercise, 2001
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Journal of Strength and Conditioning Research, 2006
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Medicine and Science in Sports and Exercise, 2001
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Bookmarks Related papers MentionsView impact
This paper develops a piecewise-affine (PWA) controller for a nonlinear three degree of freedom (... more This paper develops a piecewise-affine (PWA) controller for a nonlinear three degree of freedom (DDF) helicopter model. To design this controller a local linear controller is designed for a PWA approximation of the model in the region where the desired closed-loop equilibrium point lies. An optimization problem subject to bilinear matrix inequalities (BMIs) is then solved to find a PWA
Bookmarks Related papers MentionsView impact
Mineralogy and Petrology, 2010
The 2004-discovery of the post-perovskite transition initiated a vigorous effort in high-pressure... more The 2004-discovery of the post-perovskite transition initiated a vigorous effort in high-pressure, high-temperature mineralogy and mineral physics, seismology and geodynamics aimed at an improved understanding of the structure and dynamics of the D"-zone. The phase transitions in basaltic and peridotitic lithologies under pT-conditions of the lowermost mantle can explain a series of previously enigmatic seismic discontinuities. Some of the other seismic properties of the lowermost mantle are also consistent with the changes in physical properties related to the perovskite (pv) to post-perovskite (ppv) transition. After more than 25 years of seismic tomography, the lowermost mantle structure involving the sub-Pacific and sub-African Large Low Shear-Velocity Provinces (LLSVPs) has become a robust feature. The two large antipodal LLSVPs are surrounded by wide zones of high Vs under the regions characterized by Mesozoic to recent subduction. The D" is further characterized by a negative correlation between shear and bulk sound velocity which could be partly related to an uneven distribution of pv and ppv. Ppv has higher VS and lower \( V_{\Phi } \) (bulk sound speed) than pv and may be present in thicker layers in the colder regions of D". Seismic observations and geodynamic modelling indicate relatively steep and sharp boundaries of the 200-500 km thick LLSVPs. These features, as well as independent evidence for their long-term stability, indicate that they are intrinsically denser than the surrounding mantle. Mineral physics data demonstrate that basaltic lithologies are denser than peridotite throughout the lowermost mantle and undergo incremental densification due to the pvppv- transition at slightly shallower levels than peridotite. The density contrasts may facilitate the partial separation and accumulation of basaltic patches and slivers at the margins of the thermochemical piles (LLSVPs). The slopes of these relatively steep margins towards the adjacent horizontal core-mantle boundary (CMB) constitute a curved (concave) thermal boundary layer, favourable for the episodic generation of large mantle plumes. Reconstruction of the original positions of large igneous provinces formed during the last 300 Ma, using a paleomagnetic global reference frame, indicates that nearly all of them erupted above the margins of the LLSVPs. Fe/Mg-partitioning between pv, ppv and ferropericlase (fp) is important for the phase and density relations of the lower mantle. Electronic spin transition of Fe2+ and Fe3+ in the different phases may influence the Fe/Mg-partitioning and the radiative thermal conductivity in the lowermost mantle. The experimental determination of the \( {K_D}{^{Fe/Mg}_{pv/fp}}\left[ { = {{\left( {Fe/Mg} \right)}_{pv}}/{{\left( {Fe/Mg} \right)}_{fp}}} \right] \) and \( {K_D}{^{Fe/Mg}_{ppv/fp}} \) is technologically challenging. Most studies have found a \( {K_D}{^{Fe/Mg}_{pv/fp}} \) of 0.1-0.3 and a higher Fe/Mg-ratio in ppv than in pv. The experimental temperature is important, with the partitioning approaching unity with increasing temperature. Although charge-coupled substitutions of the trivalent cations Al and Fe3+ seem to be important in both pv and ppv (especially in basaltic compositions), the complicating crystal-chemistry effects of these cations are not fully clarified. The two anti-podal thermochemical piles as well as the thin ultra-low velocity zones next to the CMB may represent geochemically enriched reservoirs that have remained largely isolated from the convecting mantle through a major part of Earth history. The existence of such “hidden” reservoirs have previously been suggested in order to account for the imbalance between the inferred composition of the geochemically accessible convecting mantle and the observed heat flow from the Earth and chondritic models for the bulk Earth.
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Medicine and Science in Sports and Exercise, 2002
Bookmarks Related papers MentionsView impact
Medicine and Science in Sports and Exercise, 2001
Bookmarks Related papers MentionsView impact
Medicine and Science in Sports and Exercise, 2002
Bookmarks Related papers MentionsView impact
Journal of Sports Sciences, 2003
Bookmarks Related papers MentionsView impact
Medicine and Science in Sports and Exercise, 2001
Bookmarks Related papers MentionsView impact
Journal of Strength and Conditioning Research, 2006
Bookmarks Related papers MentionsView impact
Medicine and Science in Sports and Exercise, 2001
Bookmarks Related papers MentionsView impact