Study on effect of inter-wire contact on mechanical performance of wire rope strand based on semi-analytical method

Effect of three-dimensional surface crack on the elastohydrodynamic lubrication performance of ellipsoid contact

“…Further, obtain the initial film pressure in region II based on the boundary pressure for region I according to equation (13). Step 2: According to the obtained pressure, solve equations (3) to (8) to obtain the composite elastic deformation of the lubricated surfaces in region I. During this process, the FFT method 24–29 is adopted to accelerate the deformation calculation. Meanwhile, determine the viscosity and density of lubricant in region I by solving equations (9) and (10) based on the known pressure. Step 3: Solve the Reynolds equation expressed with equation (1) for the film pressure in region I pI based on the known film thickness, viscosity, density, and given entertainment velocity of the lubricant. Step 4: Update the pressure at the interface between regions I and II to meet the boundary condition expressed with equation (13). Step 5: Based on the updated boundary pressure, solve equation (14) to obtain the film thickness in region II.…”

“…Step 2: According to the obtained pressure, solve equations (3) to (8) to obtain the composite elastic deformation of the lubricated surfaces in region I. During this process, the FFT method 24–29 is adopted to accelerate the deformation calculation. Meanwhile, determine the viscosity and density of lubricant in region I by solving equations (9) and (10) based on the known pressure.…”

“…In doing so, the fluid field is divided into the two computation domains, in which the usual Reynolds equation and its reduced form are solved numerically. Meanwhile, a fast Fourier transform (FFT) method, [24][25][26][27][28][29] due to its good computation efficiency and accuracy, is adopted to accelerate the calculation of the composite elastic deformation of the ellipsoid contact. Finally, the associated conclusions are drawn.…”

The influence of fiber migration on the mechanical properties of yarns with hierarchical helical structures

“…The geometric model of a yarn can be a multi-layer single-straight strand, 3,8–12 in which all spun fibers are configured as single helix. A yarn can also consist of a number of strands wound around the cord axis, 4,13–20 which is referred to as the multi-ply yarn. 21 In this case, the center fiber of a wound strand follows a single-helix path, while other fibers in the wound ply have a double-helix path, that is, a helix wound about a helical axis.…”

“…For studying the mechanical behaviors of a wire rope with 7 × 7 double-helix configuration under axial tensile force and torque, Xiang et al 17 proposed a new rope model based on the frictionless assumption and Love’s thin rod theory. Later on, Meng et al 18 presented a semi-analytical method to study the influence of interwire contact on the mechanical behavior of single-helix wire rope under axial tension and torsion. They also used the conjugate gradient method and the fast Fourier transform to calculate the contact deformation, the contact pressure, and the stress of each wire produced by the interwire contact.…”