In this paper, a GPU-accelerated explicit nonlinear mode superposition method (ENMS) is proposed for real-time computation of large-scale bridge structures with local nonlinearities, especially non-linear dampers. This method treats the non-linear damping force as an external load, decouples linear equations of motion at each discretized time step by using the mode superposition method, and solves them by using an explicit step-by-step integration method. In this way, this method avoids the iterative solution to the equations of motion, and significantly improves computational efficiency with the fast mode superposition method. In view of the decoupled equations, a GPU is utilized to accelerate the computation, thereby further improving the computational efficiency. Numerical simulation studies on a large-span cable-stayed bridge show the followings: For a large multi-degree-of-freedom structure with local nonlinearities, this method can be used to conveniently and accurately solve dynamic responses with the parameters exported from Midas Civil. For an exponential Maxwell model of viscous dampers, the dichotomous method is able to accurately solve the damping force, providing a better solution to the problem of modeling non-linear dampers. The GPU acceleration can significantly improve the computational efficiency of the explicit non-linear mode superposition method.
| 科 Family | 属数 Number of genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) | 属 Genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) |
|---|---|---|---|---|---|---|
| 鹅膏菌科Amanitaceae | 2 | 11 | 5.26 | 鹅膏菌属 Amanita | 10 | 4.78 |
| 小菇科 Mycenaceae | 2 | 12 | 5.74 | 丝盖伞属 Inocybe | 5 | 2.39 |
| 多孔菌科 Polyporaceae | 8 | 14 | 6.70 | 蜡蘑属 Laccaria | 5 | 2.39 |
| 红菇科 Russulaceae | 3 | 23 | 11.00 | 小皮伞属 Marasmius | 6 | 2.87 |
| 小菇属 Mycena | 11 | 5.26 | ||||
| 光柄菇属 Pluteus | 5 | 2.39 | ||||
| 红菇属 Russula | 17 | 8.13 | ||||
| 栓菌属 Trametes | 5 | 2.39 |