Interval-based optimization of aircraft wings under landing loads

An interval-based automated optimization of aircraft wing structures subjected to landing loads is discussed in this paper. The interaction between landing gear and flexible airplane structure is considered as a coupled system. The uncertain system parameters are described as interval numbers. The computational aspects of the optimization procedure are illustrated with two examples - symmetric double-wedge airfoil, and supersonic airplane wing. Since, in most cases only the ranges of uncertain parameters are known with their probability distribution functions unknown, the present methodology is expected to be more realistic for the optimum design of aircraft structures under landing loads.

[1]  James N. Daniels,et al.  A method for landing gear modeling and simulation with experimental validation , 1996 .

[2]  T. H. H. Pian Analytical and Experimental Studies on Dynamic Loads in Airplane Structures During Landing , 1950 .

[3]  Isaac Elishakoff,et al.  Whys and hows in uncertainty modelling : probability, fuzziness and anti-optimization , 1999 .

[4]  L. Zadeh Fuzzy sets as a basis for a theory of possibility , 1999 .

[5]  W Flugge,et al.  Landing-Gear Impact , 1952 .

[6]  F. Thouverez,et al.  ANALYSIS OF MECHANICAL SYSTEMS USING INTERVAL COMPUTATIONS APPLIED TO FINITE ELEMENT METHODS , 2001 .

[7]  Singiresu S Rao,et al.  Numerical solution of fuzzy linear equations in engineering analysis , 1998 .

[8]  Luna Majumder An interval analysis-based multiobjective optimization of supersonic wing structures , 2007 .

[9]  P. Walley Statistical Reasoning with Imprecise Probabilities , 1990 .

[10]  Singiresu S. Rao,et al.  Analysis of uncertain structural systems using interval analysis , 1997 .

[11]  Singiresu S Rao,et al.  Optimization of airplane wing structures under landing loads , 1984 .

[12]  Benjamin Milwitzky,et al.  Effect of interaction on landing-gear behavior and dynamic loads in a flexible airplane structure , 1955 .

[13]  W. Gao Interval Finite Element Analysis using Interval Factor Method , 2007 .

[14]  Singiresu S Rao Automated optimum design of wing structures: A probabilistic approach , 1986 .

[15]  I. Elishakoff,et al.  Convex models of uncertainty in applied mechanics , 1990 .

[16]  Søren Nielsen,et al.  Closure of "Interval Algebra to Deal with Pattern Loading and Structural Uncertainties" , 1995 .

[17]  Singiresu S. Rao Engineering Optimization : Theory and Practice , 2010 .