Understanding how the mill load behaves is crucial for enhancing ball effectiveness. This study aimed to create a discrete element method (DEM) model simulate motion charge in mills and analyze simulation material properties affected behavior. The steel balls were modelled as collection of distinct particles, each which was subject Newton’s laws tracked Lagrangian manner. Hertzian contact law u...

In this paper, an efficient numerical method to solve sliding contact problems is proposed. Explicit formulae for the Gauss–Jacobi numerical integration scheme appropriate for the singular integral equations of the second kind with Cauchy kernels are derived. The resulting quadrature formulae for the integrals are valid at nodal points determined from the zeroes of a Jacobi polynomial. Gaussian...

In this article, high-speed photographic investigations of the dynamic crack initiation and propagation in several inorganic glasses by the impact of small spherical and conical projectiles are described. These were carried out at speeds of up to approximately 2×10(6) frames s(-1). The glasses were fused silica, 'Pyrex' (a borosilicate glass), soda lime and B(2)O(3). The projectiles were 0.8-2 ...

In the present research, a method to model pose error of machine tool feed system is proposed based on principle minimum potential energy. Firstly, force-moment equilibrium equation established by mechanical analysis. Secondly, force single slider analyzed Hertzian contact theory, and state under action guideway obtained. The elastic displacements in horizontal vertical directions are solved mi...

Investigation of vertical vibrations of a railway turnout is important in designing track components under moving loads of trains. In this paper, the turnout is simulated by a linear finite element model with modal damping. A section of the turnout has a length of 36 sleeper spans surrounding the crossing. Rails and sleepers are modeled with uniform Rayleigh-&#10Timoshenko beam elements. The ra...

The sealing reliability of collet connectors is essential within underwater production systems. This paper based on the lens gasket mechanism and Hertzian contact theory, establishing mechanical models for core components in preloaded working states analyzing minimum required axial preload force sealing. According to principles connector, characteristics each element are analyzed both states. i...

Thermoelastic deformations can have a significant effect on the contact between elastic bodies, particularly in cases where the thermal boundary conditions at the interface are influenced by the contact pressure. In the classical Hertzian problem, the size of the contact area depends on the magnitude and direction of heat flow between the bodies. Idealized thermal boundary conditions can lead t...