Correction of stiffness and mass matrices utilizing simulated measured modal data

Mass, Stiffness, and Damping Matrices from Measured Modal Parameters

The theory of complex mode shapes for damped oscillatory mechanical systems is explained, using the matrix of transfer functions in the Laplace domain. These mode shapes are defined to be the solutions to the homogeneous system equation. It is shown that a complete transfer matrix can be constructed once one row or column of it has been measured, and hence that mass, stiffness, and damping matr...

THE MODEL UPDATING OF MASS, DAMPING AND STIFFNESS MATRICES

the model updating of mass, damping and stiffness matrices

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New symmetry preserving method for optimal correction of damping and stiffness matrices using measured modes

Measured and analytical data are unlikely to be equal due to measured noise, model inadequacies, structural damage, etc. It is necessary to update the physical parameters of analytical models for proper simulation and design studies. Starting from simulated measured modal data such as natural frequencies and their corresponding mode shapes, a new computationally efficient and symmetry preservin...

Derivation of Mass, Stiffness and Damping Parameters From Experimental Modal Data

First, the equations for calculating the full mass, stiffness and damping matrices from modal data are derived. This deviation was first presented in [1]. However, these equations are difficult to solve because the first step of their solution requires matrix inversion of the flexibility matrix to obtain the stiffness matrix. Not only does matrix inversion amplify errors, but the number of line...