Generation and Meshing Analysis of a New Type of Double Helical Gear Transmission

A study on the double helical gear transmission with curve element constructed tooth pairs is carried out in this paper. Generation and mathematical model of tooth profiles are proposed based on the geometric relationship. Tooth profiles equations are derived considering the developed equidistance-enveloping approach. Design of tooth profiles with point contact is conducted and numerical example is illustrated. And the solid models of double helical gear pair with curve element constructed tooth pairs are established. Computerized design and meshing simulation are also put forward. Furthermore, stress analysis of the gear pair is conducted and gear prototypes are manufactured using CNC machining technology. Further tooth contact analysis, dynamic and experimental studies on transmission properties of gear prototypes will be carried out.

Numerical Simulation Algorithm for the Forming Process of Tensile Cable-Strut Structure

Numerical simulation of forming process is an issue that finds the solution of a series of unstable equilibrium states of cable-strut tensile structures with specific unstressed length. This is a long well unsolved theoretic question, which mostly lies in the couple of mechanism and elastic deformation. On the basis of the unstressed length, the theoretic parabolic curve element was adopted to simulate the cable with elastic tension and deformation. The vector of unbalance nodal force was subsequently formulated with the explicit branch-node matrix of topology in force-density method. And the dynamical relaxation method was used to solve the nonlinear equation to avoid the singular stiffness of equation. Numerical examples indicated that the proposed algorithm could calculate the unstable equilibrium state and simulate the forming process with the unstressed length of the active cables changing, and has some theoretical significance.