Position Analysis of a 4 Bar RPRR Grashofian Inverted Slider Crank Rocker Mechanism            

Introduction

The 4 bar RRRP mechanism (and its inversions - RRPR or RPRR) is another basic mechanism in studies on kinematics. It is also widely used in various forms because of the relative simplicity of design and manufacture. Like RRRR linkages, Grashof's criteria is used to distinguish between 4 bar linkages with one prismatic joint, depending on the rotatability of the links In brief, if l is the shorter of the crank and the coupler and L the longer of the two, and e is the offset, then the following cases arise.

  • l + e < L : Grashofian linkage
    • l + e < L, shortest link s is the ground link. : Inverted Slider Crank (RRPR)
    • l + e < L, shortest link is the coupler : Inverted Slider Rocker (RRPR)
    • l + e < L, shortest link is crank : Slider Crank (RRRP)
    • l + e < L, shortest link is coupler : Slider Rocker (RRRP)
  • l + e > L : Non Grashofian linkage

For a more detailed introduction to Grashof criteria for linkages with one prismatic joint see the animated guide that follows. You can either click on the animation itself to move from step to step or you can use the controls at the bottom of the animation to see it at your own pace.

Demo

Animation of a 4 Bar Inverted Slider Crank

  • Clicking on the buttons will rotate the crank in the directions indicated. The slider can be used for controlled rotation.
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  • The scroll button or middle mouse button can be used for zooming.
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  • Pressing the = key will get the view back to default.