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Rather than bending moment would it be better to look at column buckling? The non-uniform cross section top to bottom complicates it. Re. ignition, twin plug, the perfect fuel would allow ignition timing at say 1 deg ATDC with max cylinder psig at 10-20 ATDC. No combustion pressure before TDC so no "negative work". Maybe about 40% H2 in air, has about five times the flame speed of gasoline in air I think. Anyone want to try it:).
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Porsche engines has another thing working against them, rod to stroke ratio. The shorter the rod, the higher the piston speed and piston acceleration. |
Dave,
We should have our model finished by the weekend - have just been quite busy the last couple of weeks. The 'ideal' rod ratio is normally considered to be 1.75:1. |
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Here are the numbers. BBC - 1,625,600 mm's traveled at 8,000 RPM 3.2 - 1,190,400 mm's traveled at 8,000 RPM |
Can't look at just rod length, it has to be compared to stroke.
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Chris – looking forward to your results.
Just a couple of comments on previous posts – column buckling on the Porsche connecting rod would be best studied by constructing a finite element model – the best way to examine the relatively complex shape. I don’t have the ability or training or software to do this. Volunteers? Rod to stroke ratio – this is normally looked at as rod to crank throw ratio, commonly abbreviated as L/R ratio…L being con rod center-to-center distance and R being crank throw radius, which is stroke/2. L and R form the legs to what is known as the slider crank triangle. The equation describing this triangle allows calculation of piston position as a function of the crank throw angle, and can be differentiated a couple of times to get piston velocity and acceleration. Thus, the L/R ratio is the valued relationship. For the 3.2 L Porsche engine, the L/R ratio is 3.41. As a comparison, small block Chevy engines use 2 different rod lengths and a bunch of different strokes for various performance builds. These L/R ratios range from 2.87 (short rod – long stroke) to 3.80 (long rod – short stroke) so the 911 engine is right in the middle. Chris gave an example of the “ideal” rod to stroke ratio of 1.75, which converted to L/R ratio yields 3.50. The lower the L/R ratio (short rod to stroke), the higher the piston acceleration at TDC (and lower piston acceleration at BDC) as compared to a higher L/R ratio (longer rod to stroke). Also, the lower L/R ratio means greater rod angularity at the mid stroke positions contributing to higher piston skirt side loads and frictional losses. At the other extreme, a high L/R ratio can make for an engine that’s not very compact and is typically seen on older engine designs that were undersquare (small bore – long stroke). The 3.50 L/R is a good compromise and the Porsche engine, being horizontally-opposed, is right on design using a 3.41 L/R as this keeps the package width at a minimum. For our 3.2 L example, here are the numbers at the 8000 rpm red-line: Piston Accel @ TDC – 3441.9 g’s (g being gravitational force) Piston Accel @ BDC – 1882.4 g’s Average Piston Vel – 19.8 m/sec Max Piston Vel – 32.5 m/sec None of these values are alarming for a high-performance automotive engine and indicate that there is built-in reserve that was designed into this beautiful machine. |
What does the speed equate to into compressive and tensile forces?
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Force = mass x acceleration. The applied stress is the result of the applied force divided by the cross sectional area of the component of interest. I imagine piston speed is a concern when investigating the shear forces at the cylinder/oil film and reducing friction. |
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