...Xiaojun Zhou; Yimin Shao; Yaguo Lei; Mingjian Zuo A modified mathematical model for simulating gear crack from root with linear growth path in a pinion is developed, in which an improved potential energy method is used to calculate the time-varying meshing stiffnesses of the meshing gear pair while...

...L. Rubio; J. Fernández-Sáez The main goal of this note is to discuss the applicability of approximate closed-form solutions to evaluate the natural frequencies for bending vibrations of simply supported Euler–Bernoulli cracked beams. From the well-known model, which considers the cracked beam...

...Akira Saito; Matthew P. Castanier; Christophe Pierre An efficient methodology for predicting the nonlinear forced vibration response of a turbine engine rotor with a cracked blade is presented and used to investigate the effects of the damage on the forced response. The influence of small random...

... damage calibration has been discussed from the aspect of structural health monitoring. The findings in this paper can also be used for cross-checking of background noise level in an observed signal. The detection of the existence, location, and extent of an open crack from the first fundamental modeshape...

...Yi-Jui Chiu; Shyh-Chin Huang The influence on the coupled vibrations among shaft, disk, and blades of a rotor system due to a cracked blade was investigated analytically. On the shaft-disk-blade system, without a cracked blade, there exist three types of coupled modes, shaft disk blade (SDB), disk...

... in a conventional rolling element bearing. To facilitate the investigation a special purpose test rig was built to allow for accelerated natural degradation of a bearing race. It is concluded that subsurface initiation and subsequent crack propagation can be detected with the AE technology. The paper also presents...

...Kamil Aydin A simple and efficient analytical approach is presented to determine the vibrational frequencies and mode shape functions of axially-loaded Timoshenko beams with an arbitrary number of cracks. The local compliance induced by a crack is described by a massless rotational spring model...

...Sergio H. S. Carneiro; Daniel J. Inman A continuous model for the transverse vibrations of cracked beams including the effect of shear deformation is derived. Partial differential equations of motion and associated boundary conditions are obtained via the Hu-Washizu-Barr variational principle...

...B. Yang; C. S. Suh; A. K. Chan System instability and chaotic response are the failure modes that could significantly impact the reliability and operating safety of high-speed rotor-dynamical machines. Initiation and propagation of surface cracks in rotary shafts are common causes for such failure...