The strong force is one of the four fundamental forces of nature, along with the electromagnetic force, the weak force, and gravity. It is responsible for binding protons and neutrons together to form atomic nuclei. The strong force is much stronger than gravity, but it has a very short range, so it only wirkt at very small distances.

Gravitational waves are ripples in spacetime that are caused by the acceleration of massive objects. They are predicted by general relativity, and they have been indirectly detected by astronomers. Gravitational waves are very weak, so they are difficult to detect.

The strong force does not directly influence the gravitational wave background. However, the strong force does affect the distribution of matter in the universe, which can indirectly affect the gravitational wave background. For example, the strong force helps to form stars and galaxies, which are massive objects that can generate gravitational waves.

Therefore, the strong force does not directly influence the gravitational wave background, but it can indirectly affect it by influencing the distribution of matter in the universe.