Relax wrote:1) There are no other derivatives, It is linear. Not how strength of materials/physics work Derivative of distance is velocity. Derivative of velocity is acceleration. Derivative of acceleration is Jerk. There is no further derivative.
The derivative of the jerk is the snap.
Whether that has any effect on materials, I don't know. According to Wikipedia, minimising the snap is important for curves, as a constant snap means the change in jerk is linear, allowing for a smooth radial acceleration.
2) Yes, we have put materials under THOUSANDS of G's acceleration for Hours/Days/Weeks. Heard of a thing called a CENTRIFUGE?
Yes, indeed. I did not think of radial acceleration, but it of course matters.
How the Heck did you think we engineered materials, simple circuits, etc which can be FIRED OUT OF A GUN BARREL using glass ampules etc in WWII????

Let alone guided munitions using circuit boards and delicate accelerometers in the 1990's???
I thought there was a way, but I couldn't come up with an answer of what it was. And, like I said, those don't need to sustain the acceleration for long, as they're going to go ballistic or terminal velocity very quickly, so the method by which the sudden acceleration was tested need not have been capable of sustaining it for longer than a few seconds.
3) Constant stress ANY material can sustain ~by and large. CREEP of a material is effected by stress, temperature, and cyclic rate. [grain orientation as well, but that is more advanced but same principles] So, if something can sustain the initial JERK to get to a constant acceleration, it will be just fine for ~180s.
I'll have to trust you on that. I have no reason to doubt it is true; if the material isn't deforming in the first few seconds, why should it deform afterwards? But if it is deforming, even minutely, then the sustained acceleration could deform it past the breaking point.
I suppose in an 3 stage MDM, it has to sustain the Jerk from 0-->x G's 6 times. This is your main cyclic rate. The Minor cyclic rate is determined by how constant that acceleration is. If 100,000G is the Mean, what is the oscillation amplitude and Frequency around that 100,000G. Could easily be off +/-5%.
It doesn't look like there's a cycle rate at all. Once the wedge is up to full acceleration, it stays there. We could assume it oscillates a little as imperfections in the power production methodology and so missiles can adjust to each other's power output, but that also goes against the "one setting or bust" explanations we've heard.
MDMs are only expected to shut down once, before the last stage, so they would expect only 4 changes in acceleration at most, however many stages the missile has. There's no need to shut down the wedge at any time before that, because it does not extend your range but does extend your time to target. The only reason to shut down between the first and second stages is to use the third stage as a surprise, but that means your enemy must not know you have a 3-stage-capable missile, or at least one that can be fired from the current circumstances (say, a DD or CL).
Finally, the GA-tech missiles have been pretty constantly using 46,000 gravities for a 180-second half-power stage and 92,000 for 60-second full power. Only CMs appear to break over the 100,000-gravity threshold.
Now a mean load of 100,000G may indeed be just fine for a material, but if the material is also undergoing an oscillation of 5000G on a cyclic rate of 1 Hz, or 1000Hz--> AKA its JERK derivative, then we could have some serious problems. THe faster the frequency the greater the Jerk. --> This is why your statement of sustained ~100,000G could indeed be why Impeller missiles in HV have compensators built in. Or, LASER rods cannot sustain the 100,000G. Or say the Grav lens tech cannot do so, or micro fusion bottle, or fusion capacitors.... etc etc etc.
Good points.
RFC could use some of this for some plot device for why no one can currently go above 150,000 gravities even for a CM, as the oscillations however minor become too great for the wedge's compensating field at that point. And if someone does make a breakthrough in that problem, penny's dream of the million-gravity missile could come true.
I should also point out that if the acceleration is oscillating up and down, that mean the jerk is not constant, which in turn must mean snap is not zero either (I'm not going to assume they're pure sine waves).