Polar graph for engine balance on common types?

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SUMMARY

The discussion centers on polar balance diagrams for various engine types, specifically highlighting the inertial forces depicted in a circular polar chart format. Engine types such as V6, V8, inline 6, inline 4, and V12 are analyzed for their first, second, and third order balance across 360 degrees of crankshaft rotation. The inline 6 engine demonstrates nearly perfect balance, while the inline 4 exhibits oblong graphs indicating less smoothness. The original source of these diagrams is a late 1980s trade journal, which remains unidentified in the discussion.

PREREQUISITES
  • Understanding of engine types (V6, V8, inline 6, inline 4, V12)
  • Familiarity with polar graph representation
  • Knowledge of inertial forces in crankshaft dynamics
  • Basic concepts of engine balance and smoothness
NEXT STEPS
  • Research polar balance diagrams in automotive engineering
  • Explore the impact of balance shafts on engine performance
  • Study the Theory of Machines textbooks for similar graphics
  • Investigate trade journals from the late 1980s for historical references
USEFUL FOR

Engineers, automotive designers, and students of mechanical engineering seeking to understand engine balance and performance characteristics through graphical representations.

joema
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In a late 1980s trade journal, I saw a full-page of polar balance diagrams for each major engine type. For each engine type (V6, V8, inline 6, inline 4, V12, etc) a circular polar chart was presented with overlaid color-coded graphs showing 1st, 2nd and 3rd order balance for 360 degrees of crankshaft rotation. By "balance" I think it depicted inertial forces in the crankshaft rotational plane.

E.g, an inline 6 had an almost circular graphs since it has almost perfect first and second order balance. By contrast an inline 4 had oblong graphs. I don't remember if engines assisted by balance shafts were shown.

On that one page, you could easily see the engine smoothness of each type.

Does anyone remember seeing that or have any idea what journal it was? Have you seen any similar graphic?
 
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This sort of plot is commonly found in a Theory of Machines textbook, although usually not identified with a particular engine.
 

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