doi:10.3850/978-981-08-7619-7_P013

ABSTRACT

A numerical study intended to determine the formerly unknown level of uncertainty regarding major designing parameters of a wing resulting in prescribed a priori scatter of divergence speed of the wing under investigation. Technically it is based upon the Monte Carlo simulation techniques. The idea of the approach may be compared to the so called inverse problem in Mechanics. Randomization of e.g. the distance between the aerodynamic centre of a profile and its elastic axis of rotation is provided until a prescribed scatter of the resulting wing divergence speed will be reached. The last one should be predicted using the most reliable procedure; in the paper it is based upon known from manufacturing practice scatter of the thickness of the covering sheet of a profile (Laudanski (2002) p.91, Laudanski and Rykiel (2003) p.354–355). We propose to call this scatter "standardized scatter". Another example of a parameter the scatter of which is rather difficult to catch even approximately becomes the slope of the lifting line of a profile, and the distance between flexural axis and aerodynamic centre. Seemingly the proposed approach is new with respect to such problems. We suggest using it in the context of the problem of "counterbalanced scatter" and we may point out that a similar term is in use in Economy for investigating for instance problems of counterbalanced development of different branches of the economy.

Keywords: Wing, Divergence Speed, Counterbalanced Scatter, Monte Carlo Simulation.

© 2011 RPS