Application of aeroelastic constraints in structural optimization

Optimization of structural elements

“…2). The profile obtained is that given by the exact analytical solution (Ashley and McIntosh (1968)). The more realistic case of a constraint on the value of the thickness is handled in the easiest fashion.…”

“…Application of optimal control theory to structural optimization was independently suggested by Dixon (1967), Ashley and McIntosh (1968) and Haug (1969). It has up to now hardly been realized that the designer has at his disposal the powerful tools which have been developed for the solution of similar problems arising in control theory, described in the book by Bryson and Ho (1969), among others.…”

“…McIntosh (1974) also described the foundations of the method in a review paper in which comparisons with discrete solutions can be found. The approach presented here will be best described through a simple example where the constraint is of an aeroelastic nature, first suggested by Ashley and McIntosh (1968) and treated in detail by Armand and Vitte (1970), in which r e sults of computation can be compared with the ~xact analytical solution. The torsional divergence speed V for this wing is obtained by solving the eigenvalue problem :…”

The extremal separation of two sets: 1. General results

“…Then in the recursion process of design optimization, two samples may be built up (by R(y, p) > 0 or R(y, p) < 0) and coupled with corresponded measures µ i , i = 1, 2 resulting in derivation of the constraints system (3D). The successful attempts to get additional conditions to the optimization problems (related to PF-constraints) have been done in [5, p. 79], [6,7] and [8, p. 183] as was done in the mentioned results appreciably on analytical (not statistical) way.…”

Structural optimization: A review and some recommendations

“…aeroelastic optimization is extensive and some notable papers are listed. [140][141][142][143][144][145][146][147][148][149][150][151][152][153][154][155][156][157][158] These are It should be pointed out that some of the followed by papers on frame optimization. papers listed earlier also discuss frame optimization.…”