scholarly journals Design, Analysis And Experimental Study Of Worm And Worm Gear Pair For Plug Valve Application

2020 ◽  
Author(s):  
Abhijeet P Shah ◽  
Yuvraj Jadhav
Keyword(s):  
Mathematical Model ◽  
Experimental Study ◽  
Dynamic Analysis ◽  
Load Capacity ◽  
Design Procedure ◽  
Design Analysis ◽  
Worm Gear ◽  
Gear Pair ◽  
Plug Valve ◽  
Mathematical Model Analysis

Abstract The design procedure, load capacity, mathematical model, analysis of worm and worm gear for plug valve has not been investigated, which is a great barrier for the users. This research focuses on addressing these issues by design of gear, developing mathematical model, dynamic analysis of gear and experimental study to find out efficiency of worm gear for plug valve application.

The Generation Principle and Mathematical Models of Double-Enveloping Internal Gear Pairs

2015 ◽  
Author(s):  
Xuan Li ◽  
Bingkui Chen ◽  
Yawen Wang ◽  
Guohua Sun ◽  
Teik C. Lim
Keyword(s):  
Mathematical Model ◽  
Load Capacity ◽  
Geometrical Shape ◽  
Gear Pair ◽  
Numerical Examples ◽  
Proposed Model ◽  
General Mathematical Model ◽  
Meshing Characteristics ◽  
Internal Gear ◽  
Tooth Pair

In this paper, the planar double-enveloping method is presented for the generation of tooth profiles of the internal gear pair for various applications, such as gerotors and gear reducers. The main characteristic of this method is the existence of double contact between one tooth pair such that the sealing property, the load capacity and the transmission precision can be significantly improved as compared to the conventional configuration by the single-enveloping theory. Firstly, the generation principle of the planar double-enveloping method is introduced. Based on the coordinate transformation and the envelope theory, the general mathematical model of the double-enveloping internal gear pair is presented. By using this model, users can directly design different geometrical shape profiles to obtain a double-enveloping internal gear pair with better meshing characteristics. Secondly, to validate the effectiveness of the proposed model, specific mathematical formulations of three double-enveloping internal gear pairs which apply circular, parabolic and elliptical curves as the generating curves are given. The equations of tooth profiles and meshing are derived and the composition of tooth profiles is analyzed. Finally, numerical examples are provided for an illustration.

On the Dynamic Analysis of a Rigid Rotor-Gear Pair-Hydrodynamic Bearing System

1989 ◽  
Vol 111 (3) ◽  
pp. 234-240 ◽  
Author(s):  
B. Kishor ◽  
S. K. Gupta
Keyword(s):  
Mathematical Model ◽  
Dynamic Analysis ◽  
Static Load ◽  
Gear Tooth ◽  
Gear Pair ◽  
Rigid Rotor ◽  
Hydrodynamic Bearing ◽  
Bearing Loads ◽  
The Given ◽  
Bearing System

This paper is an attempt to provide a dynamic analysis of a rigid rotor-gear pair-hydrodynamic bearing system with journal motions in the oil film space of the bearings. A mathematical model has been developed considering the kinematics of the gear pair as affected by journal motions and using a concept of an instantaneous line of action. Effects of bearing parameters on dynamic tooth loads have been studied. The load-speed environment of hydrodynamic bearings supporting the geared rotors is shown to be affected by journal motions in bearings. Results indicate that, for the given gear pair and the given static load-speed conditions, dynamic increments in gear tooth loads and bearing loads vary with bearing parameters (viz. clearances and oil viscosities).

A Novel Error Detection and Compensation Method of Hourglass Worm Gear Hob

2012 ◽  
Author(s):  
Q. Y. Shu ◽  
Q. Y. Qiu ◽  
P. E. Feng ◽  
L. Cao
Keyword(s):  
Mathematical Model ◽  
Error Detection ◽  
Worm Gear ◽  
Grinding Wheel ◽  
Gear Pair ◽  
Manufacturing Error ◽  
Optical Projection ◽  
Lubrication Condition ◽  
The Mathematical Model ◽  
Detecting Method

The double enveloping hourglass worm gear pair is a type of transmission, which has many traits, such as more teeth in mesh for transmission, higher contact quality, better lubrication condition and so on. Therefore, it has higher efficiency of transmission, stronger bearing capacity and longer work life. But the manufacturing difficulty of the worm gear hob has limited its popularization and application. Unlike the traditional worm gear hob which can use the principle of optical projection to detect the hob shaft section and compare with its mathematical model, currently, there is no standard mathematical model to detect the shaft section of hourglass worm gear hob. Hence, the accuracy of hourglass worm gear hob can’t be guaranteed during manufacturing process, and the accuracy of hourglass worm gear can’t be guaranteed too. Thus, the transmission performance of the manufactured double enveloping hourglass worm gear pair will be affected. The paper puts forward a novel detection method for hourglass worm gear hob on the basis of the detecting method for traditional worm gear hob and established the mathematical model of the shaft section of hourglass worm gear hob. The manufacturing error of hourglass worm gear hob can be obtained through such detection. The paper also points out that the error is mainly produced during the grinding of hob teeth, because the grinding wheel is worn out and the blank hob is thermally deformed. At last, a method for error compensation is advanced during the process of hob grinding. The paper presents a test to verify the feasibility of this method and the test result shows that the manufacturing error of hourglass worm gear hob is reduced from 30.15μm to 10.3μm.

scholarly journals Mathematical model and characteristics analysis of crossed-axis helical gear drive with small angle based on curve contact element

2021 ◽  
Vol 104 (2) ◽  
pp. 003685042110162
Author(s):  
Dong Liang ◽  
Sheng Meng ◽  
Rulong Tan
Keyword(s):  
Mathematical Model ◽  
Small Angle ◽  
Performance Test ◽  
Load Capacity ◽  
Helical Gear ◽  
Contact Element ◽  
Gear Pair ◽  
Manufacturing Method ◽  
Gear Drive ◽  
Milling Method

To improve load capacity and transmission characteristics of crossed-axis helical gear drive, a generation approach of the gear pair with small-angle based on the curve contact element is proposed. Contact principle based on spatial curve meshing relationships is introduced and geometric models of tooth profiles are developed according to a pair of mated conjugate curves. Furthermore, a mathematical model of crossed-axis helical gear drive with small-angle is established. Numerical examples are illustrated for this research using the 10° shaft angle, and the computerized simulation is also developed based on the solid models. According to gear geometry and finite element method, general characteristics including undercutting conditions, sliding ratios and contact stress for tooth profiles are analyzed. Comparisons with crossed-axis involute gears are also carried out. Finally, the gear prototype is processed using the gear milling method and a basic performance test is conducted. Analysis results show that the new gear pair has well contact characteristics. Further studies on the dynamic analysis and precision manufacturing method will be carried out.

Design of Short-Pipe Restrictor of Hydrostatic Thrust Bearings

2012 ◽  
Author(s):  
Yohichi Nakao ◽  
Shota Nakatsugawa ◽  
Masataka Komori ◽  
Kenji Suzuki
Keyword(s):  
Mathematical Model ◽  
Optimum Condition ◽  
Load Capacity ◽  
Design Procedure ◽  
Industrial Applications ◽  
Experimental Results ◽  
Thrust Bearings ◽  
Hydrostatic Bearings ◽  
Bearing Stiffness ◽  
Precision Machine Tools

High stiffness hydrostatic bearings are needed in order to achieve precise motions of the machine components of ultra-precision machine tools or other precision machines. Design procedure of restrictors of hydrostatic thrust bearings, making bearing stiffness maximize under given conditions, is considered in the paper. In particular, the paper focuses on design of short pipe restrictors that are used in the hydrostatic thrust bearings in many industrial applications. Derived mathematical model predicting load capacity and stiffness of the hydrostatic bearings with short pipe restrictors are verified by compared with experimental results. Based on the derived mathematical model, an optimum condition of a ratio between the diameter and length of the short pipe restrictor is then derived. Designed short pipe restrictors are used in a water hydrostatic thrust bearing. Then the experimental results show that the bearing stiffness significantly increased. It is noted that the optimum condition of the restrictors is represented by defined non-dimensional parameters.

Research on a Generating Method of Spiral Flutes of Hourglass Worm Gear Hob

2017 ◽  
Author(s):  
Yang Jie ◽  
Li Haitao ◽  
Rui Chengjie ◽  
Wei Wenjun ◽  
Dong Xuezhu
Keyword(s):  
Mathematical Model ◽  
Manufacturing System ◽  
Worm Gear ◽  
Virtual Manufacturing ◽  
Transmission Ratio ◽  
Method Of Determination ◽  
Generating Method ◽  
Multiple Threads ◽  
Different Shapes

All of the cutting edges on an hourglass worm gear hob have different shapes and spiral angles. If the spiral angles are small, straight flutes are usually adopted. But for the hob with multiple threads, the absolute values of the negative rake angles at one side of the cutting teeth will greatly affect the cutting performance of the hob if straight flutes are still used. Therefore, spiral flutes are usually adopted to solve the problem. However, no method of determination of the spiral flute of the hourglass worm gear hob has been put forward till now. Based on the curved surface generating theory and the hourglass worm forming principle, a generating method for the spiral flute of the planar double enveloping worm gear hob is put forward in this paper. A mathematical model is built to generate the spiral flute. The rake angles of all cutting teeth of the hob are calculated. The laws of the rake angles of the cutting teeth of four hobs with different threads from one to four threads are analyzed when straight flutes and spiral flutes are adopted respectively. The laws between the value of the negative rake angles of the hob with four threads and the milling transmission ratio are studied. The most appropriate milling transmission ratio for generating the spiral flute is obtained. The machining of the spiral flutes is simulated by a virtual manufacturing system and the results verify the correctness of the method.

scholarly journals Design and Analysis of an Aerostatic Pad Controlled by a Diaphragm Valve

Lubricants ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 47
Author(s):  
Federico Colombo ◽  
Luigi Lentini ◽  
Terenziano Raparelli ◽  
Andrea Trivella ◽  
Vladimir Viktorov
Keyword(s):  
Sensitivity Analysis ◽  
High Precision ◽  
Load Capacity ◽  
Design Procedure ◽  
Maximum Load ◽  
Air Gap ◽  
Diaphragm Valve ◽  
Compensation Methods ◽  
Aerostatic Bearings ◽  
Gap Height

Because of their distinctive characteristics, aerostatic bearings are particularly suitable for high-precision applications. However, because of the compressibility of the lubricant, this kind of bearing is characterized by low relative stiffness and poor damping. Compensation methods represent a valuable solution to these limitations. This paper presents a design procedure for passively compensated bearings controlled by diaphragm valves. Given a desired air gap height at which the system should work, the procedure makes it possible to maximize the stiffness of the bearing around this value. The designed bearings exhibit a quasi-static infinite stiffness for load variation ranging from 20% to almost 50% of the maximum load capacity of the bearing. Moreover, the influence of different parameters on the performance of the compensated pad is evaluated through a sensitivity analysis.

Dynamic Analysis on a Cable-Driven Interventional Active Catheter Using Kane's Method Combined with Screw Theory

2014 ◽  
Vol 527 ◽  
pp. 140-145
Author(s):  
Da Xu Zhao ◽  
Bai Chen ◽  
Guo Zhong Shou ◽  
Yu Qi Gu
Keyword(s):  
Mathematical Model ◽  
Dynamic Analysis ◽  
Motion Control ◽  
Screw Theory ◽  
Driving Forces ◽  
Structure Design ◽  
Kinematics And Dynamics ◽  
Existing Problems ◽  
Blind Area ◽  
The Mathematical Model

In view of the existing problems of traditional interventional catheters, particularly poor activity, operation difficulty and mass blind area, a novel interventional catheter with a cable-driven active head-end is proposed, and a prototype was built to verify the performance. This paper deals with the kinematics and dynamics of the cable-driven prototype, a dynamic model based on Kanes method combined with screw theory was presented in this paper. According the mathematical model and the prototypes structure, the analysis of kinematics and dynamics of active head-end-end is done in the environment of Mathematica. The needed driving forces of every joint when the system moving along planned trajectory are calculated. The results can provide a basis for the structure design and motion control of the interventional active catheter.

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