Optimal Design for the Passive Control of Vibration Based on Limit Cycles

Table 2

Responses at different designs for the optimization of damping for an energy-harvesting beam (all measures are dimensionless).

Type	Parameter	Initial design	Lower bound	Upper bound	Optimum
Objective	Energy harvested per period	0.2006	51.2912	0.1008	0.0942
Constrained responses in	Maximum displacement,	0.0493	17.6580	0.0247	0.0232
	Maximum displacement,	0.0938	33.5876	0.0469	0.0441
	Maximum displacement,	0.1291	46.2292	0.0646	0.0607
	Maximum displacement,	0.1519	54.3458	0.0763	0.0713
	Maximum displacement,	0.1599	57.1425	0.0805	0.075
	Maximum displacement,	0.1519	54.3458	0.0763	0.0713
	Maximum displacement,	0.1291	46.2293	0.0646	0.0607
	Maximum displacement,	0.0938	33.5875	0.0469	0.0441
	Maximum displacement,	0.0493	17.6580	0.0247	0.0232