“…Dimarogonas et al [8] presented an attractive method for modeling open edge crack in a beam as a local flexibility which can be derived from the stress intensity factors based on the theory of fracture mechanics. Zheng and Kessissoglou [5] presented that the flexibility of the cracked beam can be obtained by putting the flexibility of the intact beam and the local flexibility due to crack together.…”
Section: Fundamental Theory Of Free Vibration Analysis Of the Non-unimentioning
Abstract. This paper presents an analytical approach to investigate the free vibration analysis of cracked non-uniform beam carrying spring-mass systems by finite element method and illustrates a valid and reliable damage identification method which using hybrid neural genetic technique. Firstly, based on the finite element method, the dynamic characteristics of non-uniform cracked beam carrying spring-mass systems are obtained. Then, the first five frequencies are used as input parameters by combining genetic algorithm with neural network to identify the damage. Finally, Numerical simulations of direct and inverse problems of non-uniform cracked beams carrying a spring-mass system are carried out.
“…Dimarogonas et al [8] presented an attractive method for modeling open edge crack in a beam as a local flexibility which can be derived from the stress intensity factors based on the theory of fracture mechanics. Zheng and Kessissoglou [5] presented that the flexibility of the cracked beam can be obtained by putting the flexibility of the intact beam and the local flexibility due to crack together.…”
Section: Fundamental Theory Of Free Vibration Analysis Of the Non-unimentioning
Abstract. This paper presents an analytical approach to investigate the free vibration analysis of cracked non-uniform beam carrying spring-mass systems by finite element method and illustrates a valid and reliable damage identification method which using hybrid neural genetic technique. Firstly, based on the finite element method, the dynamic characteristics of non-uniform cracked beam carrying spring-mass systems are obtained. Then, the first five frequencies are used as input parameters by combining genetic algorithm with neural network to identify the damage. Finally, Numerical simulations of direct and inverse problems of non-uniform cracked beams carrying a spring-mass system are carried out.
“…In summary, the study on the vibration behavior of cracked beam is a subject worthy of investigation. A mathematical model including interaction between solids and fluids was proposed by Dimarogonas et al [1]. Besides, a variety of methods were proposed to deal with the crack problems of structures.…”
Abstract.Recently, studies on the dynamic responses of cracked beams are quite worthy of being conferred. The theoretical dynamic properties of cracked beams previously obtained by La-DQM method were utilized to evaluate the maximum amplitudes of cracked beams. A comparatively new concept which utilized the controller gain to suppress the transverse vibration response of cracked beams in the perspective of proportional control scheme was proposed. A simulation study which applied an active control strategy to suppress the amplitude of vibration on the cracked beams with MATLAB SIMULINK software has been successfully accomplished. The maximum dynamic response of cracked beams is found to be inversely proportional to controller gain. Increasing the controller gain properly to control the vibration of the cracked beams is suggested in this study.
“…In reality, it is often structural joints that are more responsible for energy dissipation than the (solid) material itself [12,13]. Ultimately, this leads to temperature increase at the contact interface [14]. Despite the large amount of research conducted on condition monitoring using infrared thermography as indicated in the recent comprehensive literature review by Bagavathiappan et al [15], no research attention has been paid to the investigation of its application to the vibration measurement.…”
HIGHLIGHTS A new IRT technique developed for structural vibration measurement in terms of frequency and displacement Frictional temperature evolution obeys coulomb law of friction Frictional heat generation increases with structural excitation frequency FFT checks the spectral peak in the noisy DFT temperature signature Heat transfer in the beam through conduction is non-linear, thus, finite temperature equation is used for computation of structural displacement ABSTRACT
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