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

Table 4

Inverse problem solution for 2nd and 3rd imposed frequency for a cantilever beam.

Input given to the inverse problem	Solution via inverse determinant method	Full span of frequency squared spectrum obtained via the solution of forward problem
𝜆2=435.9606,𝜆3=3153.6181; (obtained with 𝑚=0.1𝜌𝐿; 𝑙=0.3𝐿 in the forward code)	𝑚=0.1010𝜌𝐿; 𝑙=0.2989𝐿	12.2709𝟒𝟑𝟓.𝟖𝟖𝟐𝟗𝟑𝟏𝟒𝟕.𝟒𝟕𝟑𝟏13829.118239445.983478488.20221.61140×10^53.08184×10^54.68642×10^57.26151×10^5
	𝑚=0.1478𝜌𝐿; 𝑙=0.6508𝐿	10.6171𝟒𝟑𝟓.𝟖𝟎𝟕𝟓𝟑𝟐𝟑𝟒.𝟖𝟔𝟐𝟑14601.078434510.631679566.79571.73775×10^52.71381×10^54.75801×10^57.89162×10^5