LOGO or Text shake and explode effect?

[Jason Milligan]

One approach:

Use the wiggle expression with each parameter linked to an expression slider (one for frequency, one for value). In other words—add effect>expressions>slider to the layer twice. Option/alt click the stopwatch. In the expression field, type :

wiggle(X,Y)
where it says X above, pickwhip your first slider (this is frequency).
where it says Y above, pickwhip your second slider (this is value).

Keyframe the values of the two sliders ramping up over the time period you want. Then apply a shatter effect or a particle effect when you need the text to explode.