I appear to have caused some controversy with my use of the word "buckling". Here is an attempt to explain.
The first point I made was that the video was "An example of poor installation stiffness caused by poor design". The rationale for that was rather quaintly phrased "To get any significant change in push-rod length it has to buckle", meaning that compression deformation could, in the context, be neglected.
By buckling I meant that the observed bending deflection was, presumably, caused by changes in end load (i.e. the deflection was not in the nominal "direction" of the applied load). The bending deflection (whatever its cause) would certainly reduce the distance between the push rod attachment points, hence decreasing its in-line stiffness. Whilst it is possible that the deflection was caused by a constraint occurring just at one end of travel, it is equally likely that the reduced stiffness persisted throughout a lap. That was my main point.
Bill Shoe called the Wikipedia definition of buckling as "lousy". I didn't really have a problem with it, I'm afraid, unless "buckling" is taken to be synonymous with "buckling failure".
Some have slightly ridiculed my contention that the natural frequency of the push rod in bending would be expected to be "in the hundreds of Hz". Whilst I have experienced the phenomenon, I struggled to find a justification for my claim, until I hit on the idea that somebody may have published information for designing wind chimes. Indeed they
have. I don't want to make too much of an issue with this, but it does suggest that, for example, a 300mm tube of 0.625 inches o.d. by 20 swg has, despite the glorious mixture of units, a free-free natural frequency of just over 1,000 Hz. This would, of coarse, increase with the ends pinned. Please use you own numbers, or, alternatively
visit.
I also thought of the "singing saw" phemomenon (changes natural frequency with applied bending moment), and discovered
this, which presented a relationship between natural frequency and buckling (that word again) load. I concluded that it was unlikely to be an issue in this case, but it is in accord my view that buckling is not synonymous with buckling failure.
Gary Savage's article was a good find, and he has already been quoted. I would like to add the following "Inhomogeneity in manufacture and the non-symmetric nature of the global design lead to an uneven distribution of load. Any variation in from one component to another will be manifest as a scatter in the buckling (that word again) loads."