Optimization of slender structures considering geometrical imperfections

Figures & data

Figure 1. Structure of the optimization model.

Figure 2. Imperfection shape.

Figure 3. Geometry description.

Figure 4. System curve.

Figure 5. Covariance matrices.

Figure 6. Base vectors of a one-dimensional random field.

Figure 7. Characteristic amplitude hsp and radius ε.

Figure 8. Solution algorithm.

Figure 9. Arched girder: initial design.

Table 1. Parameters of the imperfection model.

Standard deviation	σ = 0.2 m
Correlation length	b = 600 m
Radius of ball	ε = 8.85
Number of imperfection variables	q = 20

Figure 10. Optimization history.

Figure 11. Optimized structure.

Table 2. Objective function.

	Initial design		Optimized design
	(kNm)	(%)	(kNm)	(%)
Perf.	2134.58	100.00	1100.08	51.54
Imp.	2412.40	113.02	1162.96	54.48
Diff.	277.82	13.02	62.88	2.95