The problem of reconstructing a model with prescribed spectral data is known as inverse eigenvalue problem. Reconstruction of the distribution of physical parameters of a continuous vibratory system by using its eigenvalues is addressed here. Considering a unit length piecewise continuous rod as shown in figure 1. The eigenvalue problem associated with this rod is given by the following set of differential equations
To what extent do the vibrations of a mechanical system reveal its composition? Despite innumerable ...
The discretization of the differential equation governing the axial vibration of a rod with varying ...
AbstractWe consider a pair of eigenvalue problems describing proper vibrations of a string with visc...
The natural frequencies determined by using finite element or finite difference models of order n ar...
AbstractIn this paper, an algorithm is established to reconstruct an eigenvalue problem from the giv...
Some natural frequencies and their corresponding mass normalized mode shapes of physical structures ...
An inverse eigenvalue problem concerns the reconstruction of a structured matrix from prescribed spe...
Most applications of the inverse eigenvalue problem (IEP), which concerns the reconstruction of a ma...
AbstractIn this paper we consider the inverse problem for a discrete damped mass–spring system where...
Abstract. In this paper, an inverse eigenvalue problem of constructing the mass and spring matrices ...
Given an incomplete set of natural frequencies and modes of a linear structure from a vibration test...
The solution of vibration problems of continuous systems by means of discrete models is examined wit...
Classical vibration theory is concerned with the determination of the response of a given dynamical ...
Lecture Notes in Electrical Engineering; vol. 80Differential equation models for vibrating systems a...
Abstract An inverse eigenvalue problem approach to system design is considered. The Ca...
To what extent do the vibrations of a mechanical system reveal its composition? Despite innumerable ...
The discretization of the differential equation governing the axial vibration of a rod with varying ...
AbstractWe consider a pair of eigenvalue problems describing proper vibrations of a string with visc...
The natural frequencies determined by using finite element or finite difference models of order n ar...
AbstractIn this paper, an algorithm is established to reconstruct an eigenvalue problem from the giv...
Some natural frequencies and their corresponding mass normalized mode shapes of physical structures ...
An inverse eigenvalue problem concerns the reconstruction of a structured matrix from prescribed spe...
Most applications of the inverse eigenvalue problem (IEP), which concerns the reconstruction of a ma...
AbstractIn this paper we consider the inverse problem for a discrete damped mass–spring system where...
Abstract. In this paper, an inverse eigenvalue problem of constructing the mass and spring matrices ...
Given an incomplete set of natural frequencies and modes of a linear structure from a vibration test...
The solution of vibration problems of continuous systems by means of discrete models is examined wit...
Classical vibration theory is concerned with the determination of the response of a given dynamical ...
Lecture Notes in Electrical Engineering; vol. 80Differential equation models for vibrating systems a...
Abstract An inverse eigenvalue problem approach to system design is considered. The Ca...
To what extent do the vibrations of a mechanical system reveal its composition? Despite innumerable ...
The discretization of the differential equation governing the axial vibration of a rod with varying ...
AbstractWe consider a pair of eigenvalue problems describing proper vibrations of a string with visc...