Advertisement

Inflection Circle Based Approach to Synthesis of Approximate Straight Line Mechanisms

  • P. B. ShiwalkarEmail author
  • S. D. Moghe
  • J. P. Shiwalkar
  • J. P. Modak
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 73)

Abstract

Extra effort required to create and maintain the sliding pair in mechanisms producing linear motion calls for developing mechanisms without sliders and guide-ways for them. Considerable work has been done in identifying straight line mechanisms, approximate and exact; but the available choices are limited. Very few slider-crank mechanisms can trace an approximate straight line path longer than two times the crank radius. For the planer mechanism In-flection Circle, at every instant; is the locus of points tending to follow a straight line path along the tangent to the inflection circle at that point. For the given crank rocker four bar chain, there has to be a set of points which are common to multiple Inflection circles of the mechanism. These points when converted into coupler points are expected to trace the longest straight line path for the given mechanism. In this exploration, effort has been done to identify and analyze the behavior of such points by tracing the coupler curves in the fixed link frame. To understand the interrelationship among various variables present, the approach of Generated Data Based Modeling has been used. Young areas like ‘Compliant Mechanisms’ are expected to be immediate beneficiaries of these results.

Keywords

Approximate Straight line Inflection Circle Model 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Hartenberg, R., Denavit, J.: Kinematic Synthesis of Linkages, 1st ed. McGraw-Hill Book Company, New York (1964)Google Scholar
  2. 2.
    Kempe, A.: How to Draw a Straight Line: A Lecture on Linkages, Project Gutenberg eBook[EBook #25155] (2008)Google Scholar
  3. 3.
    Artobolevsky, I.: Mechanisms in Modern Engineering Design (Vol. V), Mir Publications, Moscow (1979)Google Scholar
  4. 4.
    Hricko,J.: Straight-Line Mechanisms as one Building Element of Small PreciseRobotic Devices. Applied Mechanics and Materials, Vol. 613, 96-101 (2014)Google Scholar
  5. 5.
    Hrones,J., Nelson, G.: Analysis of the Four Bar Linkage Its Application to Synthesis of Mechanisms : Design of Machinery. 4th ed.. McGraw Hill (2008)Google Scholar
  6. 6.
    Macgno, E.: I-History of Kinematics II- Inception of Modern Kinematics, IIHR Mono-graph no 112, Iowa Institute of Hydraulic Research, The University of Iowa (1991)Google Scholar
  7. 7.
    Hall A.: Kinematics and linkage Design, 1st ed. Prentice Hall INC., Englewood Cliffs, N. J. (1961)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • P. B. Shiwalkar
    • 1
    Email author
  • S. D. Moghe
    • 2
  • J. P. Shiwalkar
    • 3
  • J. P. Modak
    • 4
  1. 1.Department of Industrial EngineeringShriRamdeobaba College of Engineering and ManagementNagpurIndia
  2. 2.Department of Mechanical EngineeringShriRamdeobaba College of Engineering and ManagementNagpurIndia
  3. 3.Department of StatisticsHislop CollegeNagpurIndia
  4. 4.Lokmanya TilakJan ShikshanSansthaNagpurIndia

Personalised recommendations