Just now a bumblebee flew past me (more than a meter away), and for a moment its prominent droning sound seemed to make a vibration on my face I could feel. It made me wonder: consider a bumblebee, cicada, or military submarine that produces a loud monotone sound, perhaps aimed to some degree by a beat pattern between multiple sources. Is it possible for it to then hear some "echo" returning on a different frequency, originating from objects that are set to vibrating by the sound? This seems analogous to visual fluorescence, though my intuition tells me that the echoes might be either higher or lower frequency than the original sound.
For this question I'll exclude Doppler effect, though it is technically an example. I'll also exclude overtones of the original sound broadcast, unless for some reason they are only returned by specific objects based on their nature or composition, and sonoluminescence - that is an interesting case in which sound creates a return with a trillion times more energy, but I'd like to restrict this to returning sounds.