Airplane designing using quadratic trigonometric B-spline with shape parameters. (English) Zbl 1484.65037
Summary: The B-spline curves have been grasped tremendous achievements inside the widely identified field of Computer Aided Geometric Design (CAGD). In CAGD, spline functions have been used for the designing of various objects. In this paper, new Quadratic Trigonometric B-spline (QTBS) functions with two shape parameters are introduced. The proposed QTBS functions inherit the basic properties of classical B-spline and have been proved in this paper. The proposed scheme associated with two shape parameters where the classical B-spline functions do not have. The QTBS has been used for designing of different parts of airplane like winglet, airfoil, turbo-machinery blades and vertical stabilizer. The designed part can be controlled or changed using free parameters. The effect of shape parameters is also expressed.
MSC:
| 65D17 | Computer-aided design (modeling of curves and surfaces) |
| 68U07 | Computer science aspects of computer-aided design |
| 74P10 | Optimization of other properties in solid mechanics |
Keywords:
quadratic trigonometric B-spline functions; shape parameters; airplane parts; uniform knots; curve designing; open curves; closed curvesReferences:
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