Inverse vibration problems for finite-element models
نویسنده
چکیده
The direct problem of free vibration analysis via finite-element formulation is well known: the element mass and stiffness matrices are assembled to form the system mass and stiffness matrices; the problem is reduced to standard eigenvalue form; the eigenvalues and eigenvectors are found. The paper discusses some inverse problems relating to finite-element formulations for simple chain-like structures. How can the element mass and stiffness matrices be reconstructed from the overall matrices? How can the overall mass and stiffness matrices be recontructed from the overall dynamic stiffness matrix? How can we find a family of systems having the same eigenvalues?
منابع مشابه
Using Pattern Search Algorithm and Finite Element Method to Detect Rotor Cracks
The vibration pattern of a rotor system reflects the mechanical parameter changes in the system. Hence, the use of vibration monitoring is considered as a possible means of detecting the presence and growth of the cracks. In this paper, a pattern search based method for shaft crack detection is proposed and described which formulates the shaft crack detection as an optimization problem by means...
متن کاملSpectrally formulated finite element for vibration analysis of an Euler-Bernoulli beam on Pasternak foundation
In this article, vibration analysis of an Euler-Bernoulli beam resting on a Pasternak-type foundation is studied. The governing equation is solved by using a spectral finite element model (SFEM). The solution involves calculating wave and time responses of the beam. The Fast Fourier Transform function is used for temporal discretization of the governing partial differential equation into a se...
متن کاملA Simple Finite Element Procedure for Free Vibration and Buckling Analysis of Cracked Beam-Like Structures
In this study, a novel and very simple finite element procedure is presented for free vibration and buckling analysis of slim beam-like structures damaged by edge cracks. A cracked region of a beam is modeled using a very short element with reduced second moment of area (I). For computing reduced I in a cracked region, the elementary theory of bending of beams and local flexibility approach are...
متن کاملQuadratic Inverse Eigenvalue Problems, Active Vibration Control and Model Updating
This paper presents a brief review of recent developments on quadratic inverse eigenvalue problem with applications to active vibration control and finite element model updating.
متن کاملDevelopment of a Moving Finite Element-Based Inverse Heat Conduction Method for Determination of Moving Surface Temperature
A moving finite element-based inverse method for determining the temperature on a moving surface is developed. The moving mesh is generated employing the transfinite mapping technique. The proposed algorithms are used in the estimation of surface temperature on a moving boundary with high velocity in the burning process of a homogenous low thermal diffusivity solid fuel. The measurements obtain...
متن کامل