Not that I know of but since I am an exacerbated physicist how about I try to explain our experiment with analogies and you can just imagine appropriate gestures to go with them? First though I should say that while SUSY is in trouble the article paints an overly pessimistic picture and gets a few things wrong.
The problem SUSY is trying to solve is that nature seems to be performing an amazing balancing act with the Higgs field. Now this is not just some ordinary balancing act that generates a few "oohs" and "aahs" from the audience like Idol Rock
. According to the physics we know the chance of the Higgs boson having the mass is does is about one in 10^30. Those are about the same odds as some person winning a national lottery 5 times in a row and getting a lesser prize in the 6th week. By about the third or fourth win the "oohs" and "aahs" are replaced by a call to the serious fraud squad of the local police force with a request to figure out how the person is fixing the results of the lottery because the chance that this person is just "really lucky" are so astronomically small that nobody will believe it is just chance.
This is the situation we are in now with physics and the usual way nature solves balancing problems like this is with a symmetry that requires the balance be perfect. For example it is not just dumb luck that the electrical charge in the universe happens to cancel out so precisely - we were not just "really lucky" with our Big Bang! - there is a symmetry which gives conservation of electric charge which requires that the balance be exact. To solve the problem with the Higgs mass being so tiny the symmetry is called "Supersymmetry" - not because it flies around with a big S on its chest saving us from bad symmetries but because it is an extremely high level symmetry, perhaps even the highest possible in nature. In very simple terms you could describe it as a symmetry between force and matter.
This is also why I would disagree with the article when it says that the LHC must see supersymmtery or else it cannot solve our balance problem. This would be like saying that if you win the lottery twice that's ok but win it a third time and you are automatically guilty of a crime. Winning it 3 times in a row might be very, very unlikely but this is a continuous scale. 10TeV SUSY may be less natural than 1TeV but it is not so incredibly less likely that you know it cannot be right - sometimes 0.1% chances happen e.g. the angular size of the moon being almost exactly the same as the sun on Earth.
Supersymmetry is not a perfect symmetry because otherwise all the super-particles (which have fun names likes squarks, winos and sleptons) would then have the same mass as our Standard Model particles and we would have already seen them. So it has to be broken by some unknown mechanism which gives all the super particles higher masses which is why we have not yet seen them - our colliders do not yet have enough energy.
Another possibility is that the lightest super particle cannot decay. This would give us a high mass, stable particle which is an excellent candidate for dark matter. However this where the article is not correct in saying that the particle should have been seen by direct search experiments because one possibility is that it is a gravitino (a super partner of the graviton). This would mean that it only interacts via gravity and will not be seen in direct search experiments. This would be a real pain for physics because while we would know that we had produced them in the detector (because the other particles we can see will rebound from it) it will be very hard to prove that these were the Dark Matter astronomers see.
Probably out best chance to see supersymmetry, or indeed any new physics, will be the next three year run of the LHC. We will get almost twice the energy and about 5 times the luminosity. Certainly if we do not find supersymmetry or something else then the chances of us every seeing it with the LHC are dramatically lower after this point because increasing numbers of events at the same energy only slowing increase the regions you can search. So fingers crossed!