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Lecture Notes in Computer Science:

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Kempe A. B. (1877) How To Draw A Straight Line London (Available online at. Cornell University Library http://resolver.library.cornell.edu/math/2 349409 ...

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Lecture Notes in Computer Science:Page 1How to Draw a Straight Line Using a GP: Benchmarking Evolutionary Design Against 19thCentury Kinematic Synthesis Hod Lipson Computational Synthesis LaboratoryMechanical & Aerospace Engineering and Computing & Information Science Cornell University Ithaca NY 14850 USA hod.lipson@cornell.edu Abstract. This paper discusses the application of genetic programming to the synthesis of compound 2D kinematic mechanisms and benchmarks the results against one of the classical kinematic challenges of 19thcentury mechanical design. Considerations for selecting a representation for mechanism design are presented and a number of humancompetitive inventions are shown. 1 Introduction Kinematics the science of pure motion is concerned with the analysis and synthesis of mechanisms composed of connected rigid elements. It deals with the relative geometric displacements of points and links of a mechanism without regards to forces that generate those displacements or the physical embodiment that realizes them. The interest in kinematics has its origins in machines as old as civilization 16] butwas largely invigorated in the 18thcentury with the invention of the steam engine and the beginnings of the industrial age 4]. Initially designs were produced and analyzed by practitioners in an adhoc manner but the pressure for rigorous and systematicperformance led within a few generations to the establishment of increasingly general methods for geometric analysis and classification of mechanism types 17]. Many of these ideas form the basis of modern kinematic theory today. Kinematicsynthesis however is still largely a challenge. The systematic synthesis of a mechanism for a given purpose is a longstanding problem and perhaps one of the earliest general synthesis problems to be posed. Robert Willis a professor of natural and experimental philosophy at Cambridge wrote in his 1841 book The Principles of Mechanisms ...

Source: www.mae.cornell.edu

 

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