The Propulsion Mechanism with High-Order Elliptic Profile Shaft Connection

Dealing with the existing propulsion mechanism, the paper analyzes the deficiency of the flat key and the spline, studies the specialities of high-order elliptic profile. On the basis of chain propulsion mechanism, we get a high-order elliptic profile shaft connection. (a keyless joint) through changing the fit of the inner hole of sprocket gear and the outer circle of intermediate shaft, then introduce the propulsion mechanism with high-order elliptic profile shaft connection. At last, applying Solidworks2011 software, we create the three-dimensional modeling of the propulsion mechanism, thus laid a solid foundation for the further study. This new propulsion mechanism enjoys the superiorities like self-centralizing, easy disassembly, low stress concentration, with a simple fit cross-section, transmitting big torque, suitable for the heavy loads of rock drilling.

Research on Rotary Power Head of Rock Driller with Higher-Order Elliptic Profile Movable Tooth Transmission

Rotary power head is a key component of the cutting drill. After researching the current situation of the rotary power head, this paper proposed a new device called higher-order elliptic profile movable tooth transmission, and applied this device to the cutting drill, then designed a new rotary power head based on this device. The moving parts in a higher-order elliptic profile movable tooth transmission are self-balancing, such as the input shaft and the output one. The transmission can achieve the random difference of the teeth. A rotary power head of a drill with this transmission has many advantages, such as convenient disassembly or loading, large transmission torque, small radial size and the suitability for heavy loads. Finally, 3D model based on Solidworks2010 was established in this paper.

Research on Rotary Power Head of Drill with Higher-Order Elliptic Profile End Surface Movable Tooth Transmission

A rotary power head is a key component of the cutting drill. In this paper, first, we researched the current situation of the rotary power head; Second, we proposed a new retard device called higher-order elliptic end surface movable tooth transmission, and then designed a new rotary power head based on this device. The moving parts in the transmission such as input and output shafts are self-balancing, so the transmission can achieve the random tooth difference. A rotary power head of a drill with this transmission has many advantages, such as convenient disassembly or loading, large transmission torque, small radial size and the suitability for heavy loads. Finally, 3D model based on Solidworks2010 was established.

Distortion and necking of a viscous inclusion in Stokes flow

Spence & Wilmott (1988) considered the deformation of a slender inclusion of highly-viscous fluid in a Stokes flow of less viscous fluid, and derived a coupled pair of equations to describe its evolution. The equations possess self-preserving solutions for elliptical inclusions, previously known from the work of Bilby et al . (1975, 1976) and Bilby & Kolbuszewski (1977). In the present paper numerical solutions are presented for non-elliptic shapes. These have been obtained on a CRAY XMP-22 by use of an eigenfunction expansion suggested by the elliptic solution, leading to an initial value problem for the coefficients. The solutions show that large deformations can develop in finite time from small perturbations of the ellipse, particularly at large viscosity ratios. Special attention is directed to the phenomenon of boudinage, whereby alternate swelling and necking develops as the inclusion is stretched by the Stokes flow. This appears to characterize all solutions that depart significantly from pure elliptic shape. In the Appendix the stability of the elliptic profile to small disturbances is examined. It is found that all subharmonics of a given disturbance are excited to a finite amplitude that increases with the viscosity ratio, but that higher harmonics are not excited in linear theory, although nonlinear coupling leads to the eventual excitation of all modes.

Rotation and deformation of a viscous inclusion in Stokes flow

In a paper by Spence et al . ( Geophys J . (in the press) (1988)) the stretching and distortion of a symmetrical slender inclusion of highly viscous material along the axis of a stagnation point flow was formulated as a nonlinear evolutionary system in terms of a partial differential equation for the shape function ∆ h ( x, t ), coupled through a singular integral equation to the axial velocity of the internal flow. A self-preserving solution for an elliptic inclusion was noted. In the present paper this work is extended in two directions: (i) for inclusions with centre lines that are not straight, an additional integral equation of Cauchy type is found, coupling the evolution of the centre-line shape to that of the thickness profile; and (ii) the problem is treated in a general linear flow, with the use of rotating axes instantaneously close to the centre line of the inclusion. The analysis shows that slender inclusions rotate with the flow irrespective of the shape and viscosity ratio, while undergoing stretching and distortion that does depend on these quantities. A transformation is found that relates the evolution of the profile to that in a stagnation point flow. The particular case of an elliptic profile is examined in detail to permit comparison with the work of Bilby & Kolbusczewski ( Proc. R. Soc. Lond . A 355, 335-353 (1977)). In this case a closed solution is found for the evolution of a centre line of arbitrary shape, and it appears possible for singularities to develop in finite time in a flow in which the inclusion is shrinking. The system of equations developed provides a convenient starting point for numerical investigations of flow past inclusions of arbitrary (slender) shape, for which necking and break-up might be expected.