NDLI: “Cut-Glue” Approximation in Problems on Static and Dynamic Mathematical Model Development

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Neydorf, Rudolf
Copyright Year	2014
Abstract	The solution to the problem on building mathematical models of technical objects through the approximation of various experimental dependences is offered in the paper. This approach is especially true for modeling aircraft because the aerodynamic coefficients of their models can be obtained either by full-scale study or by computer simulation only. Currently, the experimental simulation is performed either through the regression analysis (RGA) methods, or through spline approximation. However, the RGA has a significant disadvantage, namely a poor approximability of piecewise and multiextremal dependencies. The RGA gives a rough approximation of the experimental data for similar curves. Spline approximation is free from this disadvantage. However, a high degree of discretization, a strict binding to the number of spline points, and a large number of equations, make this approach inconvenient for application when a compact model building and an analytic transformation are required. A problem solution combining the advantages of both approaches and clearing up the troubles is offered in the paper. The proposed approach is based on the regression construction of the mathematical models of the dependence fragments, the multiplicative excision of these fragments in the local functional form, and on the additive combining of these local functions into a single analytic expression. The effect is achieved by using special “selection” functions multiplicatively limiting a nonzero definition domain for each of the approximating functions. The method is named “cut-glue” by the physical analogy of the approximation techniques. The order and structure of the approximating function for each segment can be arbitrary. A significant advantage of the “cut-glue” approximation is in a single analytic expression of the whole piecewise function instead of a cumbersome system of equations. The analytical and numerical studies of the properties and operational experience of the proposed method are resulted.
File Format	PDF
ISBN	9780791846421
DOI	10.1115/IMECE2014-37236
Volume Number	Volume 1: Advances in Aerospace Technology
Conference Proceedings	ASME 2014 International Mechanical Engineering Congress and Exposition
Language	English
Publisher Date	2014-11-14
Publisher Place	Montreal, Quebec, Canada
Access Restriction	Subscribed
Subject Keyword	Construction Approximation Computer simulation Simulation Glues Splines Model development Surface roughness Regression analysis Function approximation Aircraft Modeling
Content Type	Text
Resource Type	Article

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