Stability Analyses of a Cracked Shaft Subjected to the End Load

Chen, L.-W.; Chen, H.-K.

doi:10.1006/jsvi.1995.0607

Cited by 9 publications

(5 citation statements)

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“…Yang reported that chaos due to nonlinearity induced by the crack may possibly occur [77]. Several works deal with the stability of cracked structures [78][79][80][81].…”

Section: Stability Analysis Of Cracked Shaftsmentioning

confidence: 99%

The strain energy release approach for modeling cracks in rotors: A state of the art review

Papadopoulos

2008

Mechanical Systems and Signal Processing

158

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“…Yang reported that chaos due to nonlinearity induced by the crack may possibly occur [77]. Several works deal with the stability of cracked structures [78][79][80][81].…”

Section: Stability Analysis Of Cracked Shaftsmentioning

confidence: 99%

The strain energy release approach for modeling cracks in rotors: A state of the art review

Papadopoulos

2008

Mechanical Systems and Signal Processing

158

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“…Huang et al [12] studied dynamic response and stability analysis of a rotating cracked shaft. Chen and Chen [13] studied stability analysis of a rotating cracked shaft subjected to MATEC Web of Conferences 172, 03009 (2018) https://doi.org/10.1051/matecconf/201817203009 ICDAMS 2018 the end load based on TBT. Sekhar and Dey [14] studied stability threshold speed of a rotor system having single and two transverse cracks and reported a parametric studies on the instability speed.…”

Section: Introductionmentioning

confidence: 99%

Parametric study on free vibration and instability of a functionally graded cracked shaft in a rotor-disc-bearing system: finite element approach

Gayen

Chakraborty

Tiwari

2018

MATEC Web of Conferences

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Free vibration and stability analysis are studied for a rotor-disk-bearing system having a radially functionally graded (FG) shaft with a transversely fully open crack, based on finite element (FE) approach. Both viscous and hysteretic internal damping are incorporated in the FE model of FG cracked shaft using two nodded Timoshenko beam element having four degrees of freedom (DOFs) at each node. Material properties of the FG cracked shaft are assumed temperature dependent and graded along radial direction following different material gradation law. FG shaft is made of two constituents material namely zirconia (ZrO2) and stainless steel (SS) where metallic (SS) contain is decreasing towards the outer diameter of the shaft. Extended Hamilton’s principle is employed to derive the system equations of motion (EOMs) of the FG cracked shaft system. A complete code is developed in MATLAB for correcting the formulation of modeling of crack and verified with existing published results. Influences of different material gradient index, temperature gradients, size and location of crack, viscous and hysteretic internal damping, slenderness ratio, and boundary condition on dynamic responses of the FG cracked shaft system are studied.

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“…Sundermeter and Weaver (1995) used the weak nonlinear character of a cracked vibrating beam to determine the crack location and depth. Chen and Chen (1995) studied the stability of a rotating cracked shaft subjected to axial compressive end force. They concluded that two principal instability regions of different types appeared, namely divergence and flutter, when the shaft was subjected to an increasing end load.…”

Section: Introductionmentioning

confidence: 99%

Crack Detection in Stepped Beam Carrying Slowly Moving Mass

Al-Said

2008

Journal of Vibration and Control

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A crack identification algorithm based on a mathematical model has been developed to identify crack location and depth in stepped cantilever Euler—Bernoulli beam carrying concentrated masses. In order to estimate crack location and depth in the beam the proposed algorithm utilizes the variation of the difference between the natural frequencies of cracked and intact systems versus single mass location along the beam span. The assumed mode method is used to derive the mathematical model for the system under investigation, in which the crack's effect is introduced to the system as a global effect. The advantage of the proposed algorithm is to identify the crack by monitoring a single natural frequency of the system. The algorithm can utilize the measurements of the first few system natural frequencies to check/reconfirm its identification results. Furthermore, it is efficient and can be simply implemented for any structure that has a slowly moving mass, as in the case of overhead gantry and girder cranes. The identification algorithm is tested using the first system's natural frequency obtained from an experimental work as well as from a finite element analysis. Moreover, the algorithm is tested once more using the second system's natural frequency obtained from finite element analysis. The tests' results show that the crack depth and location can be predicted with sound accuracy.

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Stability Analyses of a Cracked Shaft Subjected to the End Load

Cited by 9 publications

References 0 publications

The strain energy release approach for modeling cracks in rotors: A state of the art review

The strain energy release approach for modeling cracks in rotors: A state of the art review

Parametric study on free vibration and instability of a functionally graded cracked shaft in a rotor-disc-bearing system: finite element approach

Crack Detection in Stepped Beam Carrying Slowly Moving Mass

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