In nature or industry, there are systems that are exposed to random impacts, these impacts cause aging or failure of the system. Depending on the type of impacts, impact models are classified into two main types, the final impact model and the cumulative impact model. In the final impact model, only the effect of the last impact, which is called the fatal impact, is examined, and in the cumulative impact model, the effects of the impacts that have occurred are summed up. In reality, the impact of impacts on the system may not match any of these two types of models, so introducing other types of impact models and examining the aging of the system in these cases seems necessary. In this article, we introduce several new models of the types of impact models and then examine the survival function and failure rate in each of these models.