Final answer:
The harmonic and amplitude structures' complexities cannot be determined without more context, but in simple harmonic motion (SHM), frequency must be independent of amplitude, and any change in frequency with amplitude means the oscillation is not SHM. An example of SHM is a mass on a spring, where frequency depends solely on the mass and spring constant.
Step-by-step explanation:
The complexity of the harmonic structure and amplitude structure cannot be determined without additional context. However, when it comes to simple harmonic motion (SHM), the criteria are well-defined. To produce SHM, certain conditions must be met. These conditions ensure that the frequency of the oscillation is independent of the amplitude. If the frequency changes with amplitude, then the motion is not considered simple harmonic. An example of a simple harmonic oscillator is a mass on a spring, which oscillates with a frequency that depends only on the mass and the spring constant, and not on the amplitude of the motion. When discussing structure in more general terms, such as in proteins, they are classified by structural complexity into simple, conjugated, and derived proteins.
Addressing the specific questions: (a) If the frequency is not constant for some oscillation, the motion cannot be classified as simple harmonic. (b) In certain nonlinear systems, such as some pendulums at large amplitudes, the frequency can depend on the amplitude. However, this is not the case for ideal simple harmonic oscillators where frequency is independent of amplitude.