scholarly journals Practical approximations to a troposkien by straight-line and circular-arc segments

1975 ◽  
Author(s):  
G.E. Reis ◽  
B.F. Blackwell
Keyword(s):  
Circular Arc ◽  
Straight Line

Duplex Spread Blade Method for Cutting Hypoid Gears with Modified Tooth Surface

1998 ◽  
Vol 120 (3) ◽  
pp. 441-447 ◽  
Author(s):  
K. Kawasaki ◽  
H. Tamura
Keyword(s):  
Cutting Edge ◽  
Tooth Surface ◽  
Radius Of Curvature ◽  
Large Radius ◽  
Ring Gear ◽  
Circular Arc ◽  
Hypoid Gears ◽  
Manufacturing Method ◽  
Straight Line

In this paper, a duplex spread blade method for cutting hypoid gears with modified tooth surface is proposed. The duplex spread blade method provides a rapid and economical manufacturing method because both the ring gear and pinion are cut by a spread blade method. In the proposed method, the nongenerated ring gear is manufactured with cutting edge that is altered from the usual straight line to a circular arc with a large radius of curvature and the circular arc cutting edge produces a modified tooth surface. The pinion is generated by a cutter with straight cutting edges as usual. The main procedure of this method is the determination of the cutter specifications and machine settings. The proposed method was validated by gear manufacture.

Design of backlash-free straight-curved guide devices

2014 ◽  
Vol 228 (15) ◽  
pp. 2833-2843
Author(s):  
Long-Iong Wu ◽  
Kuan-Lwun Shu
Keyword(s):  
Common Point ◽  
Transition Curve ◽  
Circular Arc ◽  
Contact Points ◽  
Straight Line ◽  
Pitch Curve ◽  
Slider Motion ◽  
Guide Device

This article presents a method for designing a planar guide device that can guide sliders to move along a straight-curved rail and can eliminate the backlash between the slider and the rail throughout the whole range of the slider travel. The guide device has many sliders and each slider has three rollers that can separately roll on both sides of the rail. The straight-curved rail is composed of straight sections, connection sections, and circular-arc sections. For each slider, the three normal lines through the contact points between the rollers and the rail must always intersect at a common point, which is an instant center. Using this as a basis, the side profiles of the straight-curved rail can be determined. To avoid infinite jerk of the slider motion, the pitch curve of the connection section should consist of a transition curve, which is interposed between the straight line and the circular arc.

scholarly journals A Straight Line and a Circular Arc Generators for a Dot Display

1973 ◽  
Vol 27 (12) ◽  
pp. 936-941
Author(s):  
Takahiko Kamae ◽  
Toshio Hoshino ◽  
Masao Suzuki
Keyword(s):  
Circular Arc ◽  
Straight Line

MEASURING CHARACTERISTIC PARAMETERS OF FORM GRINDING WHEELS USED FOR MICRODRILL FLUTING BY COMPUTER VISION

2011 ◽  
Vol 35 (3) ◽  
pp. 383-401 ◽  
Author(s):  
Wen-Tung Chang ◽  
Ting-Hsuan Chen ◽  
Yeong-Shin Tarng
Keyword(s):  
Computer Vision ◽  
Line Detection ◽  
Measuring Apparatus ◽  
Characteristic Parameters ◽  
Grinding Wheels ◽  
Measuring Process ◽  
Circular Arc ◽  
Form Grinding ◽  
Straight Line ◽  
Straight Line Detection

This study aims at measuring the characteristic parameters of form grinding wheels used for microdrill fluting, whose wheel contours are specially made up of combinations of multiple curves. With the aid of the indirect duplication of wheel contours and by using computer vision, this paper presents a systematic process for the wheel contour measurement. The measuring process includes five sequential steps: the edge detection, the straight line detection, the contour separation, the circular arc fitting, and the circular arc angle evaluation. To test the proposed measuring process, a measuring apparatus was built, and experiments measuring the characteristic parameters of diamond grinding wheels used for microdrill fluting were conducted. It showed that the proposed measuring process was feasible to measure the characteristic parameters of certain form grinding wheels used for microdrill fluting.

Trajectory Control in Automated Welding of Tubular Joints

2010 ◽  
Vol 26-28 ◽  
pp. 967-970
Author(s):  
Xin Cheng Tian ◽  
Yan Lü
Keyword(s):  
System Simulation ◽  
Trajectory Control ◽  
Interpolation Algorithm ◽  
Analytic Geometry ◽  
Circular Arc ◽  
Control Approach ◽  
Tubular Joints ◽  
Straight Line ◽  
Cnc Interpolation ◽  
Cutting System

A saddle curve is formed by intersection of two tubes. The trajectory control of saddle curve is usually carried out through approximating the curve as segments of straight line/circular arc for CNC interpolation. Based on the principle of space analytic geometry, this paper proposes a new trajectory control approach to directly interpolate the saddle curve for automated welding/cutting system. Simulation of the direct interpolation algorithm of saddle curve has been carried out to verify the effectiveness of the proposed algorithm. It also demonstrates that the interpolation error is well within the accuracy requirements and the proposed algorithm is potentially useful for the cutting/welding of saddle curve of tubular joints.

Generic Models for Designing Dwell Mechanisms: A Novel Kinematic Design of Stirling Engines as an Example

1991 ◽  
Vol 113 (4) ◽  
pp. 446-450 ◽  
Author(s):  
S. Kota
Keyword(s):  
Design Models ◽  
Circular Arc ◽  
Generic Models ◽  
Straight Line ◽  
Stirling Engines ◽  
Finite Set ◽  
Single Input ◽  
Motion Characteristics ◽  
Generic Design ◽  
Four Bar Linkage

The desirable motion characteristics of mechanisms are so implicit that they are difficult to express analytically. Our design methodology involves development of generic design models through abstractions of entire emotion characteristics. We have developed a finite set of generic models (for straight-line, circular-arc, and dwell mechanisms) that represents the entire design space in the sense that a given design specification falls under at least one of the generic design models. This paper presents the generic design models for four-bar straight-line, circular arc, and six-bar dwell linkage mechanisms. The models presented here provide ready-made designs for many dwell applications. We have also presented a new concept in mechanisms design in which multiple coupler points on a four-bar linkage are used to drive different output dyads resulting in multiple dwell outputs. Finally, a new mechanism for the opposed piston stirling engine is presented to illustrate the use of generic design models and the application of a single-input controlling dual output motions with dwells.

A Novel Trajectory Control Algorithm for Intersection Seam Automated Welding

2011 ◽  
Vol 219-220 ◽  
pp. 284-287
Author(s):  
Xing Lin Yi ◽  
Xin Cheng Tian
Keyword(s):  
Control Algorithm ◽  
High Reliability ◽  
Interpolation Algorithm ◽  
Cartesian Coordinate System ◽  
Circular Arc ◽  
Straight Line ◽  
Curve Interpolation ◽  
Trajectory Interpolation ◽  
Cartesian Coordinate ◽  
Welding System

A saddle-shaped curve is formed by intersection of two tubes. This paper proposes a new saddle curve interpolation algorithm for automated welding system with non-Cartesian coordinate system. The trajectory interpolation of saddle-shaped curve is usually carried out through approximating the curve as segments of straight line/circular arc for intersection seam automated CNC welding. Simulation of the direct interpolation algorithm is carried out to testify its effectiveness and superiority. With this algorithm, it is demonstrated that the chord error is within the allowable limits and the algorithm has high reliability.

Grinding Wheel Profile for Hob Relief Grinding

1982 ◽  
Vol 104 (4) ◽  
pp. 731-742 ◽  
Author(s):  
V. Simon
Keyword(s):  
Grinding Wheel ◽  
Profile Curve ◽  
Circular Arc ◽  
Straight Line ◽  
Curve Approximation ◽  
Worm Gears ◽  
Axial Profile ◽  
Wheel Profile ◽  
Gear Drives

In this paper a method is described for the calculation of the dished and pencil grinding wheel profiles for relief grinding of hobs for manufacturing spur, helical, and worm gears. Archimedean, convolute, involute, and ground worm gear drives are dealt with. For the purposes of control of the calculated grinding wheel profiles and of the determination of the generation error in the case of the profile curve approximation to a straight-line or a circular arc, the method contains the calculation of the hob tooth profile, relief ground with a grinding wheel of the calculated or approximated axial profile.

Sign in / Sign up

Export Citation Format

Share Document