Research on Other Explicit Integration Method of Structural Dynamic Equations

• 1、chool of Architecture Engineering Northeast Dianli University
• 2、School of Architecture Engineering Northeast Dianli University, Jilin 132012, China

Abstract：By which kind of step-by-step integration method to solve directly an establishing structural dynamic equation based on finite element method is the central part of the modern large structure dynamic analysis software, and it has the decisive effect on accuracy, stability and computational efficiency of solution sequence. As for very large scale multi degree of freedom system, explicit integration method has a remarkable superiority over computational efficiency than implicit integration method, however, both stability and reliability of calculation results of current explicit integration method are inferior to common implicit integration method, which restrict the explicit integration method widely used in large structure dynamic analysis software and other associated software. With solving this bottleneck problem as the main research objective, by combining the basic assumption of accurate method with that of constant average acceleration method, a other explicit integration method based on double basic assumption is derived, and some new concept of other vibration period of system are put forward. Based on the other vibration period and combined with current associated research results, criteria of accuracy and criteria of stability in form of the method are derived, which provide the necessary precondition and foundation for developing associated numerical simulation research. Also the technical route of associated numerical simulation research paper has been summarized and the advance notices and preliminary discussions on obtained mainly numerical simulation research results have been given.

Keywords： calculation structure mechanics structural dynamic equation double basic assumption other explicit integration method other vibration period of system