Research on the 3D Modeling Method of Epicycloids’ Bevel Gear Based on Pro/E

2011 ◽  
Vol 120 ◽  
pp. 15-19
Author(s):  
Chun Xiang Wang ◽  
Fan Juan Meng ◽  
Jing Qiang Zhang
Keyword(s):  
Cross Section ◽  
Optimization Design ◽  
Gear Tooth ◽  
Axial Direction ◽  
Variable Cross Section ◽  
Modeling Method ◽  
Bevel Gear ◽  
Solid Model ◽  
Variable Cross ◽  
3D Solid

In order to obtain 3D solid model of an Oerlikon system’s prolate epicycloidal bevel gear by full generating processing, the solid modeling method for the gear was studied in Pro/E. First, Drawing benchmark circles (base on the circle and reference circle as well as tip circle and root circle)and involute tooth profile of virtual equivalent gears of both large end and small end of the real gear, and then an intercepted segment of prolate epicycloid which has the same trend to the tooth and is controlled by prolate epicycloidal equations is projected to the surface of the gear’s root cone for the sake of getting tooth curve along axial direction. In the end, along the tooth curve and on the root cone conducting a variable cross section solid scanning to tooth shaped cross section, a complete gear tooth will be gained and at last model establishing will be finished. This method provided digital basis for optimization design, reverse design and rapid prototyping of this kind of gear, and so its design efficiency is improved.

scholarly journals Oscillatory flow of a Casson fluid in an elastic tube with variable cross section

2018 ◽  
Vol 3 (2) ◽  
pp. 571-582 ◽  
Author(s):  
C.K. Selvi ◽  
A.N.S. Srinivas
Keyword(s):  
Pressure Gradient ◽  
Pressure Distribution ◽  
Cross Section ◽  
Oscillatory Flow ◽  
Axial Direction ◽  
Variable Cross Section ◽  
Casson Fluid ◽  
Elastic Parameter ◽  
Elastic Tube ◽  
Variable Cross

AbstractThe aim of this paper was to study an oscillatory flow of a Casson fluid through an elastic tube of variable cross section. The radial displacement of tube wall is taken into consideration. The problem is modelled under the assumption that the variation of the cross section of the tube is slow in the axial direction. Cylindrical coordinate system is chosen to study the problem. The analytical expressions for axial velocity and mass flux as a function of pressure gradient are obtained. The change in pressure distribution for various pressure****radius relationships is analyzed by considering different geometries. The effects of elastic parameter, Womersley parameter and Casson parameter on excess pressure and pressure gradient along axial direction are discussed through graphs. The results reveal that the elastic parameter plays a key role in the variation of pressure along the tube. Womersley parameter has significant effect on pressure distribution. Another important observation is that the amplitude of pressure increases for growing values of Casson parameter for both tapered and constricted tubes. In addition, the pressure oscillates more for the case of locally constricted tube when compared to other geometries.

The Multi-Objective Optimization Design of Leaf Spring of few Piece Variable Cross-Section

2011 ◽  
Vol 213 ◽  
pp. 231-235
Author(s):  
Qin Man Fan ◽  
Qin Man Fan
Keyword(s):  
Cross Section ◽  
Optimization Design ◽  
Optimal Solution ◽  
Variable Cross Section ◽  
Leaf Spring ◽  
Variable Cross ◽  
Multi Objective Optimization ◽  
Solution Quality ◽  
Front Suspension ◽  
Multi Objective

Being the ability of global optimization, MOPSO algorithm have some virtue such as high calculate velocity, good solution quality, great robustness, and so on. In allusion to a leaf spring of few piece variable cross-section, its multi-objective optimization mathematical model was built regarding minimum mass and minimum stiffness deviation as sub-objective functions. Taking the leaf spring of front suspension of a light truck as an example, the Pareto optimal solution set of optimization problem was obtained by using MOPSO algorithm. The optimization results show that the mass of the leaf spring reduced by 24.2% and the stiffness deviation is only 0.32% after optimization by using MOPSO algorithm.

Vibration Characteristics and Optimization of Variable Cross-Section Cylindrical Shell Structure under Multi-Point Excitation

2013 ◽  
Vol 372 ◽  
pp. 547-551
Author(s):  
Lin Chen ◽  
Xiao Zhong Xie ◽  
Zhuo Li ◽  
Fu Zhen Pang
Keyword(s):  
Cylindrical Shell ◽  
Cross Section ◽  
Shell Structure ◽  
Optimization Design ◽  
Acoustic Radiation ◽  
Variable Cross Section ◽  
Low Noise ◽  
Structural Vibration ◽  
Variable Cross ◽  
Transfer Path

According to the loading feature and the structure form, a gear reducer box can be simplified to a variable cross-section cylindrical shell structure excited by multipoint force. Meanwhile, a theoretical model is developed to analyze the structural vibration and acoustic characteristics and to find out the dominant component of vibration. Then, the influence of different parameters, such as, the local structure thickness, constrained damping layer and the insulation layer on acoustic radiation performance of the variable cross-section cylindrical shell structure are investigated by numerical calculation. Finally, an optimization design scheme of a low-noise structure is proposed because of the two aspects about noise source and noise transfer path.

Design of the PRO/MECHANICA to Variable Cross-Section of Micro-Mechanical Cantilever Based on the Finite Element Method

2012 ◽  
Vol 184-185 ◽  
pp. 146-150
Author(s):  
Chun Li Wei ◽  
Wei Zhang ◽  
Hui Wei
Keyword(s):  
Sensitivity Analysis ◽  
Cantilever Beam ◽  
Cross Section ◽  
Optimization Design ◽  
Variable Cross Section ◽  
Variable Cross ◽  
The Finite Element Method ◽  
Analysis Model ◽  
Modeling Analysis ◽  
Body Design

Abstract: In order to achieve the design of micro-machined micro- mechanical cantilever beam of variable cross-section through the PRO / MECHANICA micro-mechanical variable cross-section cantilever beam to mathematical modeling , analysis model , a standard static analysis , the primary design model , the local sensitivity analysis, global sensitivity analysis and optimization design aspects . By the analysis of research data , this body design is feasible and adaptable stress distribution characteristics of a good , good appearance of the structure .

Reliability-Based Optimization Design of Variable Cross-Section Component

2012 ◽  
Vol 446-449 ◽  
pp. 1099-1102
Author(s):  
Tian Xiao Zhang ◽  
Xin Hui Liu
Keyword(s):  
Cross Section ◽  
Optimization Design ◽  
Random Variable ◽  
Variable Cross Section ◽  
Engineering Practice ◽  
Variable Cross ◽  
Reliability Design ◽  
Basic Random Variable ◽  
Reliability Based Optimization ◽  
Variable Probability

Abstract: Variable cross-section components are widely used in engineering practice. It is clear that reliability-based optimization design of variable cross-section component is important for engineering design. This variable section widget for reliability and the perturbation design, we propose a perturbation method of the reliability design about the variable cross-section components. We may rapidly obtain the variable cross-section component's reliability information accurately, in basic random variable probability characteristic certain situation. We propose a method with practicality for the relevant reliability design.

Optimization Design of Section for Bisymmetric Built-Up Steel H-Shaped Beams

2013 ◽  
Vol 405-408 ◽  
pp. 948-951
Author(s):  
Su Juan Dai ◽  
Yan Chun Meng
Keyword(s):  
Cross Section ◽  
Optimization Design ◽  
Theoretical Foundation ◽  
Design Method ◽  
Variable Cross Section ◽  
Steel Beam ◽  
Variable Cross ◽  
Concentrated Load ◽  
Design Procedures ◽  
Section Design

Built-up steel H-shaped beam with variable cross-section design can save steel and realize the economy requirements of structure.The existing design method of variable width of flange of steel beam is only applicable to beam under uniformly distributed load.This paper presents optimization design procedures of the Variable cross-section.The related formulas used to optimization design of section for bisymmetric built-up steel H-shaped beams under concentrated load were derived,and the position of varying cross section of beams under concentrated load was calculated ,it is convenient to be used in engineering design,and provides theoretical foundation for variable cross-section design .

Boundary element method in numerical study of three-dimensional Stokes flows in channels of arbitrary shape

2012 ◽  
Vol 9 (1) ◽  
pp. 94-97
Author(s):  
Yu.A. Itkulova
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Cross Section ◽  
Numerical Study ◽  
Three Dimensional ◽  
Cylindrical Tube ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Periodic Flows ◽  
Element Method

In the present work creeping three-dimensional flows of a viscous liquid in a cylindrical tube and a channel of variable cross-section are studied. A qualitative triangulation of the surface of a cylindrical tube, a smoothed and experimental channel of a variable cross section is constructed. The problem is solved numerically using boundary element method in several modifications for a periodic and non-periodic flows. The obtained numerical results are compared with the analytical solution for the Poiseuille flow.

Longitudinal oscillation of a rod with a variable cross section

2019 ◽  
Vol 14 (2) ◽  
pp. 138-141
Author(s):  
I.M. Utyashev
Keyword(s):  
Cross Section ◽  
Natural Frequencies ◽  
Liouville Problem ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Longitudinal Vibrations ◽  
Cross Sectional ◽  
Independent Functions ◽  
The Cross ◽  
The Right

Variable cross-section rods are used in many parts and mechanisms. For example, conical rods are widely used in percussion mechanisms. The strength of such parts directly depends on the natural frequencies of longitudinal vibrations. The paper presents a method that allows numerically finding the natural frequencies of longitudinal vibrations of an elastic rod with a variable cross section. This method is based on representing the cross-sectional area as an exponential function of a polynomial of degree n. Based on this idea, it was possible to formulate the Sturm-Liouville problem with boundary conditions of the third kind. The linearly independent functions of the general solution have the form of a power series in the variables x and λ, as a result of which the order of the characteristic equation depends on the choice of the number of terms in the series. The presented approach differs from the works of other authors both in the formulation and in the solution method. In the work, a rod with a rigidly fixed left end is considered, fixing on the right end can be either free, or elastic or rigid. The first three natural frequencies for various cross-sectional profiles are given. From the analysis of the numerical results it follows that in a rigidly fixed rod with thinning in the middle part, the first natural frequency is noticeably higher than that of a conical rod. It is shown that with an increase in the rigidity of fixation at the right end, the natural frequencies increase for all cross section profiles. The results of the study can be used to solve inverse problems of restoring the cross-sectional profile from a finite set of natural frequencies.

Sign in / Sign up

Export Citation Format

Share Document