Application of New Information Multi-variable Optimizing Grey Model NMGM(1,n,q,r) to the Load-Strain Relation

Structural parameters and material behaviors of an in-service structure are changed due to various external factors influence. Its structural strength is hard to be clearly expressed by mathematical formula. Based on the Grey system and the new information principle, taking the mean relative error as objective function and taking the modified nth component of each variable as initial value of response function and finding the optimum background value coefficient q and modified value r of initial value of response function by optimizing, new information multi-variable optimization Grey model NMGM(1, n, q, r) of the load-strain function in actual work condition was put forward. The failure load of the structure was forecasted. Calculation results show that this method is very effective to data processing which has high precision and easy to use. The method has wide applications in data processing in various engineering fields.