An elastic pendulum is like playing with a bouncy ball attached to a string. Imagine holding a bouncy ball on a string and letting it swing back and forth like a pendulum. The ball swings because you give it a push, just like you push a regular swing to get it moving.
But the difference with an elastic pendulum is that the string is stretchy. When you give it a push, the ball moves faster than a regular pendulum because the string stretches, like a rubber band. Then the ball slows down as the string pulls back to its normal length.
This stretching and contracting of the string makes the ball's swinging motion more complicated than a regular pendulum. But it can also make the swinging last longer because the elastic energy can keep the ball moving. It's like having extra energy to keep the swing going even when you stop pushing it.
So, an elastic pendulum is like a bouncy ball on a stretchy string that can keep swinging because the string stores and releases extra energy.