Km. Won et Ys. Park, EIGENVALUE SENSITIVITY ANALYSIS FOR A COMBINED BEAM STRUCTURE WITH VARYING CONSTRAINTS, Shock and vibration, 4(5-6), 1997, pp. 341-350
An eigenvalue sensitivity formula for a combined beam structure due to
the variation of its shape or joint coordinates is proposed based on
the Lagrange multiplier technique for a free vibration equation of the
structure. The shape variation is decomposed into the length and the
orientation variation of each beam to obtain individual effects on the
total sensitivity. The sensitivity equations due to the length and th
e orientation variations are expressed as an energy density form and t
he cross product of joint forces and displacements respectively. Sever
al numerical examples are also presented to validate the proposed form
ulation and to show how to implement the idea.