Research of Double Circular-Arc Gear Fast Modeling Based on CATIA Secondary Development
Through the analysis of double circular-arc gear basic gear profile and the use of coordinate transformation method, this paper deduces the gear end-face equation of double circular-arc gear. With CATIA secondary development as a tool and double arc gear as the study object, accurately calculates the gear teeth curve profile and generate a double circular-arc gear one-time three-dimensional model by using the VB language programming, so as to improve design efficiency and accuracy, which lays a foundation for the strength analysis of the double arc gear, follow-up design and development of simulation, virtual assembly solid model.
Parametric design of double circular arc gear based on Pro/E
The method of 3D model of spiral double circular arc gear is introduced based on Program Pro/E.The relationship between the geometric parameters(such as addendum circle,dedendum circle)and the basic parameters(such as modulus and the number of teeth)of double circular arc gear is established by using the inner program.Input the gear width and the screw-angle as well the other basic parameters of spiral double circular arc gear,the accurate 3D solid model is obtained automatically.This method is useful to improve the accuracy of design,manufacturing and assembly of double circular arc gear.
Mechanics of deformable directed surfaces
Abstract The paper develops a simple, yet complete and consistent non-linear dynamic thermo-elastic shell theory based on the concepts of a two-dimensional directed continuum. The constitutive equations are postulated in a general form. Stress-strain relations are derived using the equation of energy balance and the two entropy production inequalities, which are rewritten in a special form. The linear theory is discussed in detail. The structure of the stress-strain relations is presented in the most general form and then specialized to concrete examples, in particular, to the classical shell theory, using their invariance properties with respective to certain symmetry groups. The elastic moduli are determined by demanding the coincidence of the frequency dispersion surfaces obtained using the two-dimensional theory with the lowest foils of the corresponding surfaces resulting from the three-dimensional theory of elasticity.