Static, Vibration Analysis and Sensitivity Analysis of Stepped Beams Using Singularity Functions

Table 4

Eigenvalue sensitivity analysis with respect to location of rigidity discontinuity, 𝑏₂.

Eigenvalues	Positive perturbation (𝑏2 = 25.25 in.)	Negative perturbation (𝑏2 = 24.75 in.)	Central difference	Singularity function
𝜆1	7.9174𝐸3	7.6664𝐸3	5.0189𝐸2	5.0174𝐸2
𝜆2	9.5865𝐸4	9.9055𝐸4	−6.3783𝐸3	−6.3754𝐸3