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If l + s = p + q the four possible mechanisms in (1) will result.Only double-rocker mechanisms are possible (four different mechanisms, depending on the fixed link). If l + s > p + q (if the sum of the longest and the shortest link lengths is greater than the sum of the lengths of the two intermediate links).In each case the shortest link is the crank, the fixed link is either of the adjacent links.Ĭ) One double-crank (drag-link) is possible when the shortest link is the frame.ĭ) One double-rocker mechanism is possible when the link opposite the shortest link is the frame. If l + s < p + q (if the sum of the lengths of the shortest and the longest links is less than the sum of the two intermediate links)Ī, b) Two different crank-rocker mechanisms are possible. One can prove these statements by using the input-output equation of a four-bar See Appendix AIII for the proof of the theorem).ġ. The following statements are valid (stated without proof. P,q = length of the two intermediate links Let us identify the link lengths in a four-bar chain as: Grashof's theorem (or Grashof’s rule ) gives the criteria for these various conditions as follows: The type of motion is a function of the link lengths. This type of four-bar is called crank-rocker.
FIND CENTER OF MASS IN SOLIDWORKS WITH RESPECT TO A POINT FULL
Iii) One of the links connected to the fixed link oscillates while the other has a full rotation. This type of four-bar is called “ double-rocker. Ii) Both of the links connected to the fixed link can only oscillate. This type of four-bar is called " double-crank " or " drag-link". I) Both of the links connected to the fixed link can have a full rotation. In a four-bar mechanism we can have the following three different types of motion:
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This coupler point curve can be used as the output of the four-bar mechanism (such as the intermittent film drive shown belowĬ) The positions of the coupler-link may be used as the output of the four-bar mechanism. By proper choice of link dimensions useful curves, such as a straight-line or a circular arc, may be found. A point on this link (which is known as the coupler point ) will describe a path on the fixed link, which is called the coupler-point-curve. ī) Link that has no connection to the fixed link is known as the coupler link. A simple example will be to convert a linear scale to a logarithmic scale within a certain range. In such applications we would like to have a certain functional relation such as q 14 = f( q 12) to be realised by the four-bar mechanism. Some typical applications will involve:Ī) Correlation of the angular rotations of the links connected to the fixed link (commonly known as correlation of crank angles or function generation ). FOUR-BAR MECHANISMĪ four-link mechanism with four revolute joints is commonly called a four-bar mechanism.Īpplication of four-bar mechanisms to machinery is numerous.