Can a motion be oscillatory but not simple harmonic?

Hint: Motion is the phenomena in which an item changes its location over time, as defined by physics. Displacement, distance, velocity, acceleration, speed, and time are all mathematical concepts used to describe motion. A frame of reference is attached to an observer, and the change in location of the body relative to that frame is measured as time passes. Kinematics is the part of physics that studies the motion of things without regard to their source; dynamics is the branch that studies forces and their influence on motion.

Complete step-by-step solution:
The to and fro motion of an item from its mean location is known as oscillatory motion. The ideal situation is for the item to remain in oscillatory motion in the absence of friction indefinitely, but this is not feasible in the actual world, therefore the object must settle into equilibrium. The term vibration, which is seen in a swinging pendulum, is used to denote mechanical oscillation. Similarly, the human heart's beating is an example of oscillation in dynamic systems.
Simple harmonic motion (SHM) is a form of oscillatory motion described for a particle travelling down a straight line with an acceleration that is proportional to the distance from a fixed point on the line. A restoring force that obeys Hooke's law is necessary to restore any basic mechanical harmonic system (system of the weight hanging by the spring to the wall) that has been moved from its equilibrium position. The mathematical expression of restoring force is as follows: F = - k x
In nature, all oscillatory motion is simple harmonic.

Note: Simple harmonic motion is a form of periodic motion in mechanics and physics in which the restoring force on a moving item is directly proportional to the size of the object's displacement and acts towards the object's equilibrium position. It causes an oscillation that, if not interrupted by friction or other energy dissipation, can last eternally.