A Synthesis Algorithm of Three-Revolute Manipulators by Means of the Workspace Contour Algebraic Formulation

1992 ◽  
Author(s):  
Marco Ceccarelli
Keyword(s):  
Multiple Solutions ◽  
Algebraic Form ◽  
Open Chain ◽  
Synthesis Algorithm ◽  
Algebraic Formulation

Abstract A synthesis algorithm of general three-revolute open chain manipulators is proposed making use of an algebraic formulation of the workspace contour, which has been deduced in a previous paper. The algebraic form of the synthesis model allows to formulate some algebraic design equations and to discuss the number and the type of the multiple solutions.

A Synthesis Algorithm for Three-Revolute Manipulators by Using an Algebraic Formulation of Workspace Boundary

1995 ◽  
Vol 117 (2A) ◽  
pp. 298-302 ◽  
Author(s):  
M. Ceccarelli
Keyword(s):  
Multiple Solutions ◽  
Algebraic Form ◽  
Open Chain ◽  
Synthesis Algorithm ◽  
New Synthesis ◽  
Algebraic Formulation ◽  
Workspace Boundary

A new synthesis algorithm for general three-revolute open chain manipulators is proposed making use of an algebraic formulation for the workspace boundary. This algebraic form of a synthesis model is used to formulate design equations and to discuss the number and the type of the multiple solutions.

Synthesis of Planar Mechanisms for Pick and Place Tasks With Guiding Locations

2013 ◽  
Author(s):  
Pierre Larochelle
Keyword(s):  
Algebraic Geometry ◽  
Constraint Equation ◽  
Dimensional Synthesis ◽  
Motion Generation ◽  
Planar Mechanisms ◽  
Open Chain ◽  
Synthesis Algorithm ◽  
Kinematic Chains ◽  
Synthesis Technique ◽  
Kinematic Inversion

A novel dimensional synthesis technique for solving the mixed exact and approximate motion synthesis problem for planar RR kinematic chains is presented. The methodology uses an analytic representation of the planar RR dyads rigid body constraint equation in combination with an algebraic geometry formulation of the exact synthesis for three prescribed locations to yield designs that exactly reach the prescribed pick & place locations while approximating an arbitrary number of guiding locations. The result is a dimensional synthesis technique for mixed exact and approximate motion generation for planar RR dyads. A solution dyad may be directly implemented as a 2R open chain or two solution dyads may be combined to form a planar 4R closed chain; also known as a planar four-bar mechanism. The synthesis algorithm utilizes only algebraic geometry and does not require the use of a numerical optimization algorithm or a metric on planar displacements. Two implementations of the synthesis algorithm are presented; computational and graphical construction. Moreover, the kinematic inversion of the algorithm is also included. An example that demonstrates the synthesis technique is included.

Synthesis of Planar Mechanisms for Pick and Place Tasks With Guiding Positions

2015 ◽  
Vol 7 (3) ◽  
Author(s):  
Pierre Larochelle
Keyword(s):  
Algebraic Geometry ◽  
Constraint Equation ◽  
Dimensional Synthesis ◽  
Motion Generation ◽  
Open Chain ◽  
Synthesis Algorithm ◽  
Kinematic Chains ◽  
Synthesis Technique ◽  
Pick And Place ◽  
Kinematic Inversion

A novel dimensional synthesis technique for solving the mixed exact and approximate motion synthesis problem for planar RR kinematic chains is presented. The methodology uses an analytic representation of the planar RR dyad's rigid body constraint equation in combination with an algebraic geometry formulation of the exact synthesis for three prescribed positions to yield designs that exactly reach the prescribed pick and place positions while approximating an arbitrary number of guiding positions. The result is a dimensional synthesis technique for mixed exact and approximate motion generation for planar RR dyads. A solution dyad may be directly implemented as a 2R open chain or two solution dyads may be combined to form a planar 4R closed chain, also known as a planar four-bar mechanism. The synthesis algorithm utilizes only algebraic geometry and does not require the use of a numerical optimization algorithm or a metric on elements of SE(2); the group of planar displacements. Two implementations of the synthesis algorithm are presented; computational and graphical construction. Moreover, the kinematic inversion of the algorithm is also included. Two examples that demonstrate the synthesis technique are included.

PENERAPAN STRATEGI PEMBELAJARAN INQUIRY DENGAN PENDEKATAN CTL (CONTEXTUAL TEACHING AND LEARNING) UNTUK MENINGKATKAN HASIL BELAJAR MATEMATIKA SISWA KELAS VIII-D SMPN 4 TAMBANG

2018 ◽  
Vol 2 (2) ◽  
pp. 156
Author(s):  
Zulkifli Zulkifli
Keyword(s):  
Learning Outcomes ◽  
Teaching And Learning ◽  
Student Learning Outcomes ◽  
Average Score ◽  
Mathematics Students ◽  
Algebraic Form ◽  
Student Activity ◽  
Average Value ◽  
The Subject ◽  
Improve Student Learning

This research is based on the low learning outcome of mathematics students of grade VIII SMPN 4 Tambang.The purpose of this research is to improve the learning outcomes of mathematics through the application ofinquiry learning with CTL approach. This research was conducted in SMPN 4 Tambang with subject of classVIII-D students with 29 students. This classroom action research was started in early January 2017. Theresearch instrument consists of a teacher and student activity sheet instrument and a test of learning outcomes.Based on the results of research and discussion can be concluded that the strategy of inquiry learning with CTLapproach can improve student learning outcomes of mathematics on the subject matter of algebraic form inclass VIII-D SMPN 4 Tambang. On the basic score the number of students who reached the KKM as many as 14people (48.28%) with an average score of 58.79. In cycle I the number of students who reach the KKM of 19people (65.52%) with an average value of 65.69%. In cycle II the number reaching KKM is 25 people (86.21%).

MULTIPLE SOLUTIONS IN A NARROW HORIZONTAL AIR-FILLED ANNULUS

1998 ◽  
Author(s):  
Pierre Cadiou ◽  
Guy Lauriat ◽  
Gilles Desrayaud
Keyword(s):  
Multiple Solutions

An Overview of Risk-Based EEE Counterfeit Part Detection Based on SAE AS6171

2018 ◽  
Author(s):  
Michael H. Azarian
Keyword(s):  
Risk Assessment ◽  
Multiple Solutions ◽  
Test Equipment ◽  
Assessment Methodology ◽  
Test Plan ◽  
Specific Test ◽  
Risk Assessment Methodology

Abstract As counterfeiting techniques and processes grow in sophistication, the methods needed to detect these parts must keep pace. This has the unfortunate effect of raising the costs associated with managing this risk. In order to ensure that the resources devoted to counterfeit detection are commensurate with the potential effects and likelihood of counterfeit part usage in a particular application, a risk based methodology has been adopted for testing of electrical, electronic, and electromechanical (EEE) parts by the SAE AS6171 set of standards. This paper provides an overview of the risk assessment methodology employed within AS6171 to determine the testing that should be utilized to manage the risk associated with the use of a part. A scenario is constructed as a case study to illustrate how multiple solutions exist to address the risk for a particular situation, and the choice of any specific test plan can be made on the basis of practical considerations, such as cost, time, or the availability of particular test equipment.

Quantum Linear Logic Synthesis Algorithm Based on L-ESOP Reduction

2018 ◽  
Vol 30 (8) ◽  
pp. 1579
Author(s):  
Lihua Wei ◽  
Pengcheng Zhu ◽  
Zhijin Guan
Keyword(s):  
Linear Logic ◽  
Logic Synthesis ◽  
Synthesis Algorithm
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