Motion Interpolation With G2 Composite Be´zier Motions

1995 ◽  
Vol 117 (4) ◽  
pp. 520-525 ◽  
Author(s):  
Q. J. Ge ◽  
Donglai Kang
Keyword(s):  
Robot Manipulators ◽  
Trajectory Generation ◽  
Geometric Algorithms ◽  
Inverse Design ◽  
Direct Algorithm ◽  
Geometric Continuity ◽  
Design Algorithm ◽  
Cnc Machines ◽  
Smooth Motion ◽  
Computer Aided

This paper deals with smooth motion interpolation. It presents two geometric algorithms for synthesizing composite Be´zier motions with second-order geometric continuity (G2). The first one is a direct algorithm for constructing a G2 spline motion that approximates a set of displacements; the second one is an inverse design algorithm for a G2 spline motion that interpolates through a set of displacements. The results are useful for computer aided motion animation, and Cartesian trajectory generation for CNC machines and robot manipulators.

Motion Interpolation With G2 Composite Bézier Motions

1994 ◽  
Author(s):  
Q. J. Ge ◽  
Donglai Kang
Keyword(s):  
Robot Manipulators ◽  
Trajectory Generation ◽  
Second Order ◽  
Inverse Design ◽  
Geometric Continuity ◽  
Direct Construction ◽  
Cnc Machines ◽  
Smooth Motion ◽  
Computer Aided ◽  
Refined Version

Abstract This paper deals with smooth motion interpolation. Recently, a direct construction algorithm was developed for designing piecewise parametric motions with second order geometric continuity (G2). The present paper provides a refined version of the G2 spline algorithm and shows how the G2 spline motion can be used to fulfill the task of motion interpolation by solving the problem of inverse design for the G2 spline motion. The results are useful for computer aided motion animation, and Cartesian trajectory generation for CNC machines and robot manipulators.

Parametric Continuity and Smooth Motion Interpolation

1995 ◽  
Author(s):  
Lakshmi N. Srinivasan ◽  
Q. J. Ge
Keyword(s):  
Mechanical Systems ◽  
Trajectory Generation ◽  
Geometric Design ◽  
Second Derivative ◽  
Computer Aided Geometric Design ◽  
Smooth Motion ◽  
Computer Aided ◽  
Cad Cam ◽  
C2 Continuity ◽  
Parametric Continuity

Abstract This paper deals with the design of a second derivative continuous (C2) motion that interpolates through a given set of configurations of an object. It derives conditions for blending two motion segments with C2 continuity and develops an algorithm for constructing a C2 composite Bézier type motion that has similarities to Beta-splines in the field of Computer Aided Geometric Design. A criteria for evaluating the smoothness of motion is established and is used to synthesize “globally smooth” motions. The results have applications in trajectory generation in robotics, mechanical systems animation and CAD/CAM.

Parametric Continuous and Smooth Motion Interpolation

1996 ◽  
Vol 118 (4) ◽  
pp. 494-498 ◽  
Author(s):  
L. N. Srinivasan ◽  
Q. J. Ge
Keyword(s):  
Mechanical Systems ◽  
Trajectory Generation ◽  
Second Order ◽  
Geometric Design ◽  
Computer Aided Geometric Design ◽  
Smooth Motion ◽  
Computer Aided ◽  
Cad Cam ◽  
C2 Continuity

This paper deals with the synthesis of a second order parametrically continuous (C2) motion that interpolates through a given set of configurations of an object. It derives conditions for blending two motion segments with C2 continuity and develops an algorithm for constructing a C2 composite Be´zier type motion that has similarities to Beta-splines in the field of Computer Aided Geometric Design. A criterion for evaluating the smoothness of a motion is established and is used to synthesize a “globally smooth” motion. The results have applications in trajectory generation in robotics, mechanical systems animation and CAD/CAM.

scholarly journals Spline-Based Trajectory Generation for CNC Machines

2019 ◽  
Vol 66 (8) ◽  
pp. 6098-6107 ◽  
Author(s):  
Tim Mercy ◽  
Nicolas Jacquod ◽  
Raoul Herzog ◽  
Goele Pipeleers
Keyword(s):  
Trajectory Generation ◽  
Cnc Machines

scholarly journals Engineering working operations based on parameters of product manufacturability using a computer-aided design algorithm

2022 ◽  
Vol 25 (6) ◽  
pp. 708-719
Author(s):  
D. A. Ishenin ◽  
A. S. Govorkov
Keyword(s):  
Computer Aided Design ◽  
Production Costs ◽  
Machining Process ◽  
Processing Route ◽  
Mechanical Processing ◽  
Design Algorithm ◽  
Industrial Data ◽  
Production Processes ◽  
Computer Aided ◽  
Aided Design

The study aimed to develop an algorithm for computer-aided design (CAD) of working operations. A processing route for machining components was developed based on the criteria of production manufacturability, industrial data and a digital model of the product. The process of machining a workpiece was analysed using a method of theoretical separation. The machining process of a frame workpiece was used as a model. The identified formal parameters formed a basis for developing a CAD algorithm and a model of manufacturing route associated with the mechanical processing of a work-piece applying a condition-action rule, as well as mathematical logic. The research afforded a scheme for selecting process operations, given the manufacturability parameters of a product design. The concept of CAD algorithm was developed to design a production process of engineering products with given manufacturability parameters, including industrial data. The principle of forming a route and selecting a machining process was proposed. Several criteria of production manufacturability (labour intensity, consumption of materials, production costs) were selected to evaluate mechanical processing. A CAD algorithm for designing technological operations considering the parameters of manufacturability was developed. The algorithm was tested by manufacturing a frame workpiece. The developed algorithm can be used for reducing labour costs and development time, at the same time as improving the quality of production processes. The formalisation of process design is a crucial stage in digitalisation and automation of all production processes.

An Artificial Intelligence Based Method for Performance Prediction and Inverse Design of Hydraulic Turbochargers

2020 ◽  
Author(s):  
Azam Thatte ◽  
Ganesh Vurimi ◽  
Prabhav Borate ◽  
Teymour Javaherchi
Keyword(s):  
Neural Network ◽  
Pressure Rise ◽  
Operating Conditions ◽  
Inverse Design ◽  
Geometrical Parameters ◽  
Total Efficiency ◽  
Design Algorithm ◽  
Flow Rates ◽  
Radial Turbine ◽  
Radial Pump

Abstract A neural network based method is developed that can learn the underlying physics of hydraulic turbocharger (a radial pump coupled with a radial turbine) from a set of sparse experimental data and can predict the performance of a new turbocharger design for any given set of previously unseen operating conditions and geometric parameters. The novelty of the algorithm is that it learns the underlying physical mechanisms from a very sparse data spanning a broad range of flow rates and geometrical size brackets and uses these deeper common features recognized through a “mass-learning process” to predict the full performance curves for any given single geometry. The deep learning algorithm is able to accurately predict the key performance parameters like total efficiency of the turbocharger, its operating speed, pressure rise provided by the radial pump of the turbocharger and the shaft power produced by the radial turbine of the turbocharger for any given input combination of pump and turbine flow rates, differential pressure across the turbine and a limited set of geometrical parameters of pump and turbine impellers and volutes. Lastly, a novel method for fast inverse design of turbomachinery using a physics trained neural network and a constrained optimization algorithms is developed. The algorithm uses Nelder-Mead and Interior Point methods to find the global minimum of turbocharger design objective function in multi-dimensional space. The newly developed method is found to be very efficient in optimizing turbomachinery design problems with both equality and inequality constraints. The inverse design algorithm is able to successfully recommend an optimal combination of geometrical parameters like pump blade exit angle, pump impeller diameter, blade width, eye diameter, turbine nozzle diameter and rotational speed for a given target efficiency and head rise requirements. The preliminary results from this study indicate that it has a great potential to minimize the need for expensive 3D CFD based methods for the design of turbomachinery.

scholarly journals Explicit Continuity Conditions for G1 Connection of S-λ Curves and Surfaces

Mathematics ◽  
2020 ◽  
Vol 8 (8) ◽  
pp. 1359 ◽  
Author(s):  
Gang Hu ◽  
Huinan Li ◽  
Muhammad Abbas ◽  
Kenjiro T. Miura ◽  
Guoling Wei
Keyword(s):  
Computer Aided Design ◽  
Linear Independence ◽  
Basis Functions ◽  
Geometric Continuity ◽  
Complex Curves ◽  
Curves And Surfaces ◽  
Computer Aided ◽  
Cad Cam ◽  
Geometric Representations ◽  
Aided Design

The S-λ model is one of the most useful tools for shape designs and geometric representations in computer-aided geometric design (CAGD), which is due to its good geometric properties such as symmetry, shape adjustable property. With the aim to solve the problem that complex S-λ curves and surfaces cannot be constructed by a single curve and surface, the explicit continuity conditions for G1 connection of S-λ curves and surfaces are investigated in this paper. On the basis of linear independence and terminal properties of S-λ basis functions, the conditions of G1 geometric continuity between two adjacent S-λ curves and surfaces are proposed, respectively. Modeling examples imply that the continuity conditions proposed in this paper are easy and effective, which indicate that the S-λ curves and surfaces can be used as a powerful supplement of complex curves and surfaces design in computer aided design/computer aided manufacturing (CAD/CAM) system.

Towards Automated Design of Multi-Piece Permanent Molds

2003 ◽  
Author(s):  
Satyandra K. Gupta ◽  
Alok K. Priyadarshi
Keyword(s):  
Automated Design ◽  
Geometric Algorithms ◽  
Mold Design ◽  
Software System ◽  
Design Algorithm ◽  
Accessibility Analysis ◽  
Ideal Candidate ◽  
Complex Parts ◽  
Design Steps

Multi-Piece molds, which consist of more than two mold pieces, are capable of producing very complex parts—parts that cannot be produced by the traditional molds. The tooling cost is also low for multi-piece molds, which makes it an ideal candidate for pre-production prototyping and bridge tooling. However, designing multi-piece molds is a time-consuming task. This paper describes geometric algorithms for automated design of multi-piece molds. A Multi-Piece Mold Design Algorithm (MPMDA) has been developed to automate several important mold-design steps: finding parting directions, locating parting lines, creating parting surfaces, and constructing mold pieces. MPMDA constructs mold pieces based on global accessibility analysis results of the part and therefore guarantees the disassembly of the mold pieces. A software system has also been developed and successfully tested on several complex industrial parts.

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