Its true that the vibration phenomenon is studied by considering it as Simple harmonic motion (SHM) and Newtons Laws of motion. Entire mathematical modelling has a base of SHM. So its true that vibration study requires te concepts of Physics. But Physics does not mean only SHM, it has various domains such as quantum physics, Astro physics etc. So in my opinion limiting physics only for vibrational theories would not be right thing.