Structural optimization under equivalent static loads transformed from dynamic loads based on displacement

摘要

All loads in the real world act dynamically on structures. ^Since dynamic loads are extremely difficult to handle in analysis and design, static loads are utilized with dynamic factors. ^The dynamic factors are generally determined from design codes or experience. ^Therefore, static loads can cause problems in precise analysis and design. ^An analytical method based on modal analysis in finite element analysis has been proposed for the transformation of dynamic loads into equivalent static load sets. ^Equivalent static load sets are calculated to generate an identical displacement field in a structure with that from dynamic loads at a certain time. ^The process is derived and evaluated mathematically. ^The method is verified through numerical tests. ^Various characteristics are identified to match the dynamic and static behaviors. ^For example, the opposite direction of a dynamic load should be considered due to the vibrational response. ^A dynamic load is transformed to multiple equivalent static load sets according to the number of critical times. ^The places of the equivalent static load can be different from those of the dynamic load. ^An optimization method is defined to use the equivalent static loads. ^The developed optimization process has the same effect as dynamic optimization that uses the dynamic loads directly. ^Standard examples are solved, and the results are discussed. ^(Author)