the model updating of mass, damping and stiffness matrices

THE MODEL UPDATING OF MASS, DAMPING AND STIFFNESS MATRICES

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...

Design of Variable Damping and Stiffness Matrices

amping and stiffness control in a telerobotic system allows the programmer to define the master and slave dynamics to suit a given task. Unfortunately, many requirements for good teleoperation produce conflicting choices of desired dynamic parameters for different tasks. It is proposed here that the master and slave damping and stiffness matrices be functionally dependent on b e n d and command...

The direct updating of damping and gyroscopic matrices

In this paper we develop an efficient numerical method for the finite-element model updating of damped gyroscopic systems based on incomplete complex modal measured data. It is assumed that the analytical mass and stiffness matrices are correct and only the damping and gyroscopic matrices need to be updated. By solving a constrained optimization problem, the optimal corrected symmetric damping ...

Damped DQE Model Updating of a Three-Story Frame Using Experimental Data

In this paper, following a two-stage methodology, the differential quadrature element (DQE) model of a three-story frame structure is updated for the vibration analysis. In the first stage, the mass and stiffness matrices are updated using the experimental natural frequencies. Then, having the updated mass and stiffness matrices, the structural damping matrix is updated to minimize the error be...

The Effect of Damping and Stiffness of Bearing on the Natural Frequencies of Rotor-bearing System

In this paper, the effectiveness of stiffness and damping of bearing is investigated on the natural frequencies of the rotor-bearing system. The rotor-bearing system consists of a shaft, two bearings and a disk between two bearings. Parallel spring-damper in horizental and vertical directions is considered for modeling the stiffness and damping of bearings. The gyroscopic effect is also conside...