The Influence of Uncertain Loading on Topology-Optimized Designs

Table 1

Analytical and numerical (using forward differencing) compliance sensitivities with respect to force for varying step sizes for the MBB cantilever with base load of  N.

Method	Step size (N)	compliance sensitivity (mm)  with respect to
		-force	-force	-force
Analytical	—	−23.575 4	−100.696	−0.019 78
Numerical	0.25	−21.566 2	−88.069 7	178.919 8
	0.1	−23.544 3	−87.504 1	45.674 7
	0.05	−22.925 4	−97.815 3	9.572 58
	0.01	−24.867 7	−82.683 6	13.541 0
	0.001	−23.039 0	−83.493 0	−221.352 0
	0.000 1	2.399 9	−39.739 9	−2784.680 0