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.

Curve Fitting Approach of Saddle-Shaped Curve for Automated Welding/Cutting

2011 ◽  
Vol 211-212 ◽  
pp. 935-938
Author(s):  
Xin Cheng Tian ◽  
Xiao Hong Deng
Keyword(s):  
Curve Fitting ◽  
Numerical Control ◽  
Interpolation Algorithm ◽  
Core Technology ◽  
Straight Line ◽  
Fitting Algorithm ◽  
Trajectory Interpolation ◽  
Cartesian Coordinate ◽  
Cutting System ◽  
Curve Fitting Algorithm

Curve fitting, or interpolation algorithm is core technology for Computer Numerical Control (CNC) systems. A saddle-shaped curve is formed by intersection of two tubes. The trajectory interpolation of saddle-shaped curve is usually carried out through approximating the curve as segments of straight line for automated CNC welding/cutting. This paper proposes a new saddle curve curve fitting algorithm for automated welding/cutting system with non-Cartesian coordinate system. Simulation of the direct curve fitting algorithm has demonstrated that the algorithm has high curve interpolation precision and high feedrate stability.

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.

scholarly journals Simulation of NURBS Curve Interpolation Algorithm and Five S-Phased Acceleration and Deceleration Control Algorithm

2011 ◽  
Vol 2-3 ◽  
pp. 619-623
Author(s):  
Geng Zhu Wang
Keyword(s):  
Computer Simulation ◽  
Control Algorithm ◽  
Control Method ◽  
Simulation Method ◽  
Interpolation Algorithm ◽  
Nurbs Curve ◽  
Computer Simulation Method ◽  
Curve Interpolation ◽  
Acceleration And Deceleration

The computer simulation method is used to test the correctness of the NURBS curve interpolation algorithm, through the comparison of the five S-phased curve acceleration and deceleration control method and the line acceleration and deceleration control method, to validate the superiority of the five S-phased curve acceleration and deceleration control method.

scholarly journals Design of three-dimensional origami structures based on a vertex approach

2015 ◽  
Vol 471 (2181) ◽  
pp. 20150407 ◽  
Author(s):  
Xiang Zhou ◽  
Hai Wang ◽  
Zhong You
Keyword(s):  
Coordinate System ◽  
Three Dimensional ◽  
New Method ◽  
Cartesian Coordinate System ◽  
Engineering Applications ◽  
Line Segments ◽  
Numerical Examples ◽  
Input Point ◽  
Straight Line ◽  
Cartesian Coordinate

Origami geometric design is fundamental to many engineering applications of origami structures. This paper presents a new method for the design of three-dimensional (3D) origami structures suitable for engineering use. Using input point sets specified, respectively, in the x − z and y − z planes of a Cartesian coordinate system, the proposed method generates the coordinates of the vertices of a folded origami structure, whose fold lines are then defined by straight line segments each connecting two adjacent vertices. It is mathematically guaranteed that the origami structures obtained by this method are developable. Moreover, an algorithm to simulate the unfolding process from designed 3D configurations to planar crease patterns is provided. The validity and versatility of the proposed method are demonstrated through several numerical examples ranging from Miura-Ori to cylinder and curved-crease designs. Furthermore, it is shown that the proposed method can be used to design origami structures to support two given surfaces.

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.

On the Flexural-Torsional Behavior of a Straight Elastic Beam Subject to Terminal Moments

1993 ◽  
Vol 60 (2) ◽  
pp. 498-505 ◽  
Author(s):  
Z. Tan ◽  
J. A. Witz
Keyword(s):  
Coordinate System ◽  
Cross Section ◽  
Equilibrium Equation ◽  
Three Dimensional ◽  
Circular Cross Section ◽  
Elastic Beam ◽  
Cartesian Coordinate System ◽  
Kinematic Constraints ◽  
Torsional Behavior ◽  
Cartesian Coordinate

This paper discusses the large-displacement flexural-torsional behavior of a straight elastic beam with uniform circular cross-section subject to arbitrary terminal bending and twisting moments. The beam is assumed to be free from any kinematic constraints at both ends. The equilibrium equation is solved analytically with the full expression for curvature to obtain the deformed configuration in a three-dimensional Cartesian coordinate system. The results show the influence of the terminal moments on the beam’s deflected configuration.

scholarly journals The control algorithm of whole angle mode for HRG based on the vector composition

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Wanliang Zhao ◽  
Yuxiang Cheng ◽  
Shaoliang Li ◽  
Lijun Song
Keyword(s):  
Control Algorithm ◽  
High Reliability ◽  
Energy Transition ◽  
Life Time ◽  
Mathematics Model ◽  
Operating Modes ◽  
Hemispherical Resonator ◽  
Order Of Magnitude ◽  
Electrostatic Control ◽  
Space Launcher

AbstractThe Hemispherical Resonator Gyroscope (HRG) has many advantages such as high precision, high reliability and long life-time, it is widely used in the space-launcher and the satellites. The HRG has been mechanized to operate in the distinct operating modes, the Force to Rebalanced (FTR) mode and the Whole Angle (WA) mode. In the paper, different from the traditional control algorithm is based on average methods which usually used for the WA mode, a new electrostatic control algorithm is presented, which based on the vector composition and decomposition method to control the equivalent drive force in order to track the phase of the standing wave. The mathematics model and the control algorithm are presented in the paper, and the hardware experimental circuit system is implemented, the HRG has a range of more than 300°/s with the linearity of 40 ppm. Meanwhile, the energy transition efficiency increases by an order of magnitude.

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.

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