Journal Article10.2514/3.9103
Stiffness matrix adjustment using mode data
375
TL;DR: In this paper, a procedure that uses structural connectivity information to optimally adjust deficient stiffness matrices is presented. But the adjustment performed are such that the percentage change to each stiffness coefficient is minimized.
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Abstract: A procedure is introduced that uses, in addition to mode data, structural connectivity information to optimally adjust deficient stiffness matrices The adjustments performed are such that the percentage change to each stiffness coefficient is minimized The physical configuration of the analytical model is preserved and the adjusted model will exactly reproduce the modes used in the identification The theoretical development is presented and the procedure is demonstrated by numerical simulation of a test problem
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References
Improvement of a Large Analytical Model Using Test Data
Alex Berman,E. J. Nagy +1 more
TL;DR: In this paper, a method has been developed which uses measured normal modes and natural frequencies to improve an analytical mass and stiffness matrix model of a structure, which directly identifies, without iteration, a set of minimum changes in the analytical matrices which force the eigensolutions to agree with the test measurements.
616
Statistical Identification of Structures
TL;DR: In this paper, a method is formulated for systematically using experimental measurements of the natural frequencies and mode shapes of a structure to modify stiffness and mass characteristics of a finite element model, and an additional feature is that the engineer's confidence in the modeling of the various finite elements is quantified and incorporated into the revision procedure.
481
Optimization Procedure to Correct Stiffness and Flexibility Matrices Using Vibration Tests
TL;DR: The Lagrange function for the stiffness matrix weighted norm of the errors between the given and the optimal stiffness matrix unity matrix is defined in this paper, where the error is defined as the difference between the error between the desired stiffness matrix and the given stiffness matrix.
330