Random vibration test was done on aluminum honeycomb sandwich board.The result suggested thatchaotic behavior is found in the test data.The Volterra expression can not be gained from the input and outputdata directly in this paper.The state space reconstruction was used to convert the system observed data into thequasi-input/ output pairs, and the second-order Volterra adaptive filter was used to predict the test data.It isshown that combining the state space reconstruction with the Volterra adaptive filter, these chaotic series couldbe accurately predicted.