A study of the construction and application of a Daubechies wavelet-based beam element
Finite Elements in Analysis and Design
Damage detection in bridges using accurate modal parameters
Finite Elements in Analysis and Design
The construction of wavelet finite element and its application
Finite Elements in Analysis and Design
A multivariable wavelet-based finite element method and its application to thick plates
Finite Elements in Analysis and Design
A dynamic multiscale lifting computation method using Daubechies wavelet
Journal of Computational and Applied Mathematics
Finite Elements in Analysis and Design
Solution of geometric inverse heat conduction problems by smoothed fixed grid finite element method
Finite Elements in Analysis and Design
Review: Wavelet-based numerical analysis: A review and classification
Finite Elements in Analysis and Design
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The dynamics and diagnosis of cracked rotor have been gaining importance in recent years. In the present study a model-based crack identification method is proposed for estimating crack location and size in shafts. The rotor system has been modeled using finite element method of B-spline wavelet on the interval (FEM BSWI), while the crack is considered through local stiffness change. Based on Rayleigh beam theory, the influences of rotatory inertia on the flexural vibrations of the rotor system are examined to construct BSWI Rayleigh beam element. The slender shaft and stiffness disc are modeled by BSWI Rayleigh-Euler beam element and BSWI Rayleigh-Timoshenko beam element, respectively. Then the crack identification forward and inverse problems are solved by using surface-fitting technique and contour-plotting method. The experimental examples are given to verify the validity of the BSWI beam element for crack identification in a rotor system. From experimental results, the new method can be applied to prognosis and quantitative diagnosis of crack in a rotor system.