It is instructive to think in terms of real and reciprocal spaces and Fourier transforms:
If all bonds of a given type are identical in length at all times, then in the real-space correlation function (variously defined as the pair distribution function, PDF, or radial distribution function, RDF) they are represented by a delta function. In reciprocal (k) space this is a sinusoid, that is, an oscillatory function which continues oscillating with the same amplitude out to infinite k.
On the other hand, with static and/or thermal disorder, the real space delta function is broadened out into, for example, a Gaussian distribution, in the harmonic approximation. Using the properties of Fourier transforms, we know that a Gaussian is transformed to another Gaussian, centered at the origin, and using the convolution theorem this will multiply the sinusoid giving rise to an observed damping at high k.