In the inverse problem with uncertainty, suppose that instead of a …xed constraint, we take an elastic constraint in order to generate an additional equation (as shown in Figure XXXXXXXXXXThe bene…t...

In the inverse problem with uncertainty, suppose that instead of a …xed constraint, we take an elastic constraint in order to generate an additional equation (as shown in Figure 9.27). The bene…t of using a spring as a constraint, rather than just …xing mass m2 as in Figure 9.11, is that k3 can be varied to represent a free end using k3 = 0, or a …xed end using k3 = 1. Derive the ratios needed to estimate the mean values and variances of the structural parameters. Assume that each mass is exactly 20 kg .