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Xue et al. [19] proposed a new damage accumulation algorithm by ignoring the location and direction of fatigue based on the traditional SWT method. Chen [13] studied the influence of spline structure parameters on the bearing capacity. He also evaluated the fatigue life of the aero engine accessory spline. Hu et al. [20] analyzed the causes of spline shaft fracture failure from the point of view of material and process. They found that the Widmanstatten structure produced by improper cooling rate would reduce both the fatigue strength and hardness of components. Liu [21] analyzed the fracture of a broken spline shaft and found that resonance is the root cause of the torsional fatigue fracture of splines. Kang et al. [22] analyzed the cause of spline shaft breakage of a generator for an unmanned aerial vehicle. They found that excessive radial excitation force of the spline caused by the deviation of installation axiality is the main cause of fatigue breakage. Zhao et al. [23] studied the failure modes and causes of vehicle drive shaft faults by checking the macro- and micromorphology and chemical composition of the fracture surfaces. The results showed that fatigue is the main cause. The stress concentration caused by the small geometrical dimensions of root rounded corners and unreasonable manufacturing tolerances accelerated the initiation and propagation of cracks.
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In general, the magnitude of fretting between internal and external splines is far greater than that of the rotor connected by splines. Splines are often regarded as the representative of the fretting damage of complex components. Spline wear is inseparable from the vibration of splines. Many researchers have studied fretting wear, fretting fatigue, and plain fatigue caused by splines under actual load conditions [44]. The main mechanisms of micro-damage are fretting wear and fretting fatigue, which coexist in the same contact and can cause damage wear and contact-related crack initiation [45]. Jason [46] proposed a method for predicting the fretting fatigue life of a system that takes into consideration the material removed as a result of fretting wear. This method can predict some critical experimental phenomena, such as crack occurrence. Leen et al. [47] and Sum et al. [48] simulated the operating conditions of aero engine splines and analyzed the wear problems caused by fretting motion using computational contact mechanics and finite element methods, considering complex asymmetric loads and variable loads. Liu [49] found that wear can be reduced by improving the machining accuracy of the spline, reducing the spline fit clearance, and improving strength by heat treatment. Houghton et al. [50] proposed a method to predict the fretting fatigue life of aero engine splines and obtained the wear of splines under complex loads due to friction coefficient and speed. Curà and Mura [51] identified the fretting wear damage in actual working conditions by experiment using crowned splines. They found that the fretting wear is mainly caused by the relative motions between teeth with angular misalignments. The influence of torque and misalignment on spline wear is shown in Figure 17.
The occurrence of a transient dipole is one method of producing a far-field potential. This investigation qualitatively defines the characteristics of the near-field and far-field electrical potentials produced by a transient dipole in both cylindrical and rectangular volume conductors. Most body segments of electrophysiologic interest such as arms, legs, thorax, and neck are roughly cylindrical in shape. A centrally located dipole generator produces a nonzero equipotential region which is found to occur along the cylindrical wall at a distance from the dipole of approximately 1.4 times the cylinder's radius and 1.9 times the cylinder's radius for the center of the cylinder. This distance to the equi-potential zone along the surface wall expands but remains less than 3.0 times the cylindrical radius when the dipole is eccentrically placed. The magnitude of the equipotential region resulting from an asymmetrically placed dipole remains identical to that when the dipole is centrally located. This behavior is found to be very similar in rectangular shallow conducting volumes that model a longitudinal slice of the cylinder, thus allowing a simple experimental model of the cylinder to be utilized. Amplitudes of the equipotential region are inversely proportional to the cylindrical or rectangular volume's cross-sectional area at the location of dipolar imbalance. This study predicts that referential electrode montages, when placed at 3.0 times the radius or greater from a dipolar axially aligned far-field generator in cylindrical homogeneous volume conductors, will record only equipotential far-field effects. 2ff7e9595c
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