Sensitivity of the Eigenvalues of Beams to the Change of Element Correction Factors

유한요소의 수정계수 변화에 대한 보 고유치의 민감도

Some characteristics of the sensitivities of the eigenvalues for beams have been found in the paper. For cantilever beams and simply supported beams, the sensitivities of the eigenvalues to the stiffness correction factor of one element are equal and opposite to the sensitivities to the mass correction factor of the symmetrically positioned element. The relationship means that to increase stiffness in one element has the same effects on the eigenvalues as to decrease mass by the same proportion in the symmetrically positioned element. For beams with other boundary conditions, however, the relationship does not hold.