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Damru symbolizes the Universe which is always expanding and collapsing. From an expansion it collapses and then it re-expands,
this is the process of creation.

If you see your heartbeat, it is not just one straight line but it is a rhythm that goes up and down. The whole world is nothing but rhythms; energy rising and collapsing to rise again. So the damru signifies that. Look at the shape of the damru, from expansion it collapses and again expands.

The darmru is also a symbol of sound. Sound is rhythm and sound is energy. The whole universe is nothing but a wave function, it is nothing but rhythms. What does quantum physics say? It says the same thing – the whole universe is nothing but rhythms. It is just one wave (Adviata). So the damru signifies the non-dual nature of the universe.