Thank goodness for Isaac Newton. His laws make what we are discussing much less complicated than some are making it.
At the joint between two rocket sections the airframe will either be in compression or tension. If its under compression then the design is drag separation safe, no retention is needed, if the joint is in tension then some form of retention is needed. Fortunately the law of dynamic motion (F=ma) are well know and can be applied to provide a simple solution. Only three types of quantities need to be known, forces, masses and acceleration. Those are the only terms I see in F=ma.
Lets do two simple thought experiments in rockets that are decelerating.
1. Consider a rocket with a single coupling, mass of the 2 sections are the same. If the drag force above the joint is greater than the drag force below the joint, then the joint will be in compression, no drag separation will occur. If the drag force below the joint is greater than above the joint, then the joint will be in tension and drag separation will occur unless there is retention that can support this tensile force.
2. Consider a rocket with a single joint, the drag force above and below the joint are the same but the masses for each section are different. If the mass above the joint is less than the mass below the joint, F=ma says it will need less net force than the bottom section if both sections have the same "a". Since the drag force on both sections are the same the only way that the top section can have less net force is if the bottom section pushes (compression) the top section. No drag separation can occur in this mode. If the mass of the upper section is greater, then the opposite happens, the bottom section would have to pull the top section to keep the accelerations the same.
Now unfortunately we will rarely design rockets where the section masses are matched or the drag forces are matched. But fortunately Newton F=ma and a free-body-diagram provides a simple solution.
Fjoint = a [ m1 - M /(R+1) ] (Note the equation is in the form F = m a )
where m1 is the mass of the lower section and R is the drag-force ratio of the upper to lower section.
If Fjoint is positive then the joint is in compression and no special retention is needed to prevent drag separation.
If Fjoint is negative then the joint is in tension and retention must be provided to withstand the estimated value calculated from the above equation.
Derivation of the above formula is here:
https://www.rocketryforum.com/showt...se-Cone-Drag-Separation&p=1550813#post1550813
Props go to Newton.
PS. Thanks Tim for reinvigorating this.