How is the moment of inertia of airplanes measured?

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Discussion Overview

The discussion centers on the methods used to measure the moment of inertia of airplanes, particularly comparing small aircraft techniques, such as the trifilar pendulum, with those applicable to larger aircraft like the Boeing 707. The conversation explores both practical measurement techniques and theoretical calculations based on mass distribution.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants mention the use of a trifilar pendulum for measuring moments of inertia in small aircraft and question its applicability to larger aircraft.
  • Others argue that measuring the moment of inertia for large aircraft is complicated due to varying fuel and payload weights, suggesting that tests would need to be repeated under different load conditions.
  • It is proposed that the moment of inertia for large aircraft could be accurately calculated from known mass distributions, allowing for adjustments based on different scenarios.
  • One participant notes that aircraft manufacturers historically had dedicated weights departments to calculate the weights of components and subassemblies, facilitating the determination of the center of mass and moment of inertia as designs evolved.
  • Another point raised is the importance of controlling the center of mass for stability, implying that calculating the moment of inertia from mass distribution data should be straightforward.
  • Participants discuss how mass distribution affects g-loads in the aircraft structure and mention that practical calculations often involve lumping individual component masses at nodes along the structure.

Areas of Agreement / Disagreement

Participants express a range of views on the methods for measuring and calculating moment of inertia, with no consensus reached on a single approach for large aircraft. The discussion includes both measurement techniques and theoretical calculations, indicating multiple competing perspectives.

Contextual Notes

Limitations include the dependence on accurate mass distribution data and the need for repeated measurements under varying load conditions, which may not be straightforward for large aircraft.

ramzerimar
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I know it's possible to use a trifilar pendulum to extract information on moments of inertia by measuring the period of oscillation. I've seen this test being executed on small aircraft, like in this video.

But I wonder how do is the momement of inertia calculated on big aircraft, like a Boeing 707. Do they use the same principle of trifilar pendulum, just on a larger scale, or it's some other method?
 
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It would be difficult to measure since the weigh of fuel and payload would be important under different conditions. The test would need to be repeated under different loads.
For a large aircraft the moment of inertia could be accurately calculated from the known mass distribution. That could be done for many different situations.
 
Most aircraft manufacturers until recently had a weights department responsible for calculating weights of all individual components , subassemblies and complete aircraft .

The weights information was tabulated in such a way that the centre of mass position and moment of inertia could easily be worked out multiple times as the design evolved but without having to do the whole calculation from scratch again .
 
The centre of mass of an aircraft has to be controlled because it affects stability - so it's vital to know where all the mass is going during the design phase. Should be reasonably simple to calculate the moment of inertia from that data.
 
The mass distribution is important as well since this affects the way that g loads are distributed in the structure .

For practical calculations on complete aircraft or larger subsections like fuselage or wings the individual component masses were usually lumped together at nodes distributed along or over the structure .

Incidentally they were always 'Weights' departments . This comes from the earliest days of aviation when only the simple 1g weight of components mattered much for aircraft performance . It was quite a few years later before higher g levels in flight became a problem .
 
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