2005
DOI: 10.1016/j.jsv.2005.01.038
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Considerations regarding superharmonic vibrations of a cracked beam and the variation in damping caused by the presence of the crack

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Cited by 99 publications
(40 citation statements)
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“…The analytic investigations of the forced vibrations of a mechanical system with one degree of freedom and the indicated characteristic of restoring forces make it possible to reveal sub-[5-14] and superharmonic [8,9,11,13,15,16] resonances of different orders. In addition, as shown in [3,7,8], the nonlinear effects strongly depend on the dissipative properties of the investigated system: the higher the level of damping of vibrations in the system, the lower the amplitudes of nonlinear resonances and the level of nonlinearity of vibrations at these resonances.The data of experimental investigations [4,[17][18][19] demonstrate that the growth of fatigue cracks is accompanied by a significant increase in the characteristics of damping of vibrations for specimens made of different materials. If this increase is neglected, then the degree of damage to the vibrating system predicted on the basis of nonlinear effects is underestimated.…”
mentioning
confidence: 89%
See 1 more Smart Citation
“…The analytic investigations of the forced vibrations of a mechanical system with one degree of freedom and the indicated characteristic of restoring forces make it possible to reveal sub-[5-14] and superharmonic [8,9,11,13,15,16] resonances of different orders. In addition, as shown in [3,7,8], the nonlinear effects strongly depend on the dissipative properties of the investigated system: the higher the level of damping of vibrations in the system, the lower the amplitudes of nonlinear resonances and the level of nonlinearity of vibrations at these resonances.The data of experimental investigations [4,[17][18][19] demonstrate that the growth of fatigue cracks is accompanied by a significant increase in the characteristics of damping of vibrations for specimens made of different materials. If this increase is neglected, then the degree of damage to the vibrating system predicted on the basis of nonlinear effects is underestimated.…”
mentioning
confidence: 89%
“…As shown in [3,4,19,33], fatigue cracks strongly affect the damping characteristics of the specimens. Since the nonlinear effects depend on the dissipative properties of vibrating systems, special attention is given to the evaluation of the level of damping of the vibrations of cracked specimens.…”
mentioning
confidence: 99%
“…The analysis above shows that, since both = In mechanical engineering studies [32], the appearance of superharmonic components in the output spectrum is considered to be a significant nonlinear effect. From the perspective of the energy transfer, it is the linear FRF which transfers the input energy to the fundamental harmonic component in the output spectrum, and it is the NOFRFs which transfer the input energy to the superharmonic components.…”
Section: The Effect Of Damping On the Output Frequency Responsesmentioning
confidence: 99%
“…In mechanical engineering studies [40], the appearance of superharmonic components in the output spectrum is considered to be a significant nonlinear effect. From the perspective of the energy transfer, it is the linear FRF which transfers the input energy to the fundamental harmonic component in the output spectrum, and it is the NOFRFs which transfer the input energy to the superharmonic components.…”
Section: H J G ωmentioning
confidence: 99%