A Rapid solution method for dynamic differential equations based on GPU has been put forward. Its accuracy and acceleration performance under diffirent degree of freedom (DOF) of model have been studied with a cantilever beam. Furthermore, this method has been used to calculating the dynamic response of a rocket sled system. The results show that when the degree of freedom (DOF) of model reaches 20,000, the calculation speed of the proposed method is 12.99 times that of traditional method, and shows a good trend with the increase of DOF. The application in the rocket sled system also verifies its applicability in practical engineering.
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