Engineering Optimization: Theory and Practice, Fourth Edition

556 Dynamic Programming

Figure 9.10 Suboptimization of components 1, 2 ,... , ifor various settings of the input state

variablesi+ 1.

weight of the truss is given by

f (x 1 , x 2 , x 3 , x 4 )= 0. 01 ( 100 x 1 + 201 x 2 + 001 x 3 + 06 x 4 )

=x 1 + 1. 2 x 2 +x 3 + 0. 6 x 4 (E 1 )

From structural analysis [9.5], the force developed in memberidue to a unit load acting

at jointA(pi) the deformation of member, i(di), and the contribution of memberito

the vertical deflection ofA(δi=pidi) can be determined as follows: