Multiple Arc Composition Technique for S-Duct Intake Construction Strictly Obeying Area Rule

다국어 초록 (Multilingual Abstract)

A technique was developed to design the intake duct shape by composing multiple arcs to build duct cross-sections, which presents the capability to represent the complex shape of various S-duct intakes by automatically generating intermediate cross-sections between given control cross-sections and flexibility to adjust those cross-sections to strictly obey prescribed area rule. Every cross-section is assumed to have a bilateral symmetric shape. The one half is divided into two pieces, top and bottom, each of which this multi-arc composition technique is applied to build. To overcome the underdetermined system even with the three-arc composition scheme, geometrical parameters are grouped into two sets. One is a set of parameters determined by geometry equations and imposed constraints. The other is a set of parameters obtained by morphing the features of intake cross-sections to fill the gap between the numbers of variables and equations. The concave shape of the intake cross-section can be handled by allowing some geometrical parameters, such as arc radius and angle, to have negative values. Some rules for morphing algorithm and a driving curve in addition to area variation have to be prescribed in advance and they are chosen to change linearly in this study. Demonstrations showed the ability of the three-arc composition technique by successfully generating various S-duct intakes consisting of complex shape cross-sections and strictly obeying a prescribed area rule.

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