Protecting sensitive objects during a rocket launch is imperative. For equipment going to the ISS this is done through packing them in polymer foam or bubble wrap. Simulating how well an object is packaged is computationally intensive and difficult to implement. To solve this, this thesis examines the performance of three surrogate models, LSTM, LSTM-FC-GP, and LSTM-PCA-GP, to predict the response of a foam packed object when it is subjected to a vibration. The results show that the models can accurately predict the response of the system in both the time and frequency domain. Furthermore, the LSTM models that are augmented with a GP can accurately predict the uncertainty of the system in addition to having better performance.