A Structured Approach to Solve the Inverse Eigenvalue Problem for a Beam with Added Mass

Table 5

Inverse problem for 1st and 2nd imposed natural frequencies for a cantilever beam.

Input given to the inverse problem	Solution via inverse determinant method	Full span of frequency squared spectrum obtained via solution of forward problem
𝜆1=12.3554,𝜆2=476.9708; (obtained with 𝑚=0.5𝜌𝐿; 𝑙=0.1𝐿 in the forward code)	𝑚=0.5𝜌𝐿; 𝑙=0.1𝐿	𝟏𝟐.𝟑𝟓𝟓𝟑𝟒𝟕𝟔.𝟖𝟎𝟖𝟑3358.652110287.985825821.561261911.29631.32415×10^52.53985×10^54.46546×10^57.32837×10^5
	𝑚=0.6047𝜌𝐿; 𝑙=0.0954𝐿	𝟏𝟐.𝟑𝟓𝟓𝟒𝟒𝟕𝟔.𝟕𝟖𝟗𝟑3344.426510049.311825096.495660477.91171.29731×10^52.49237×10^54.38699×10^57.20790×10^5