| 基于随机谐和函数的复合泊松过程模拟 |
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| 引用本文： | 高若凡,李杰. 基于随机谐和函数的复合泊松过程模拟[J]. 同济大学学报(自然科学版), 2017, 45(12): 1731-1738 |
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| 作者姓名： | 高若凡 李杰 |
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| 作者单位： | 同济大学 土木工程学院，上海 200092,同济大学 土木工程防灾国家重点实验室，上海 200092 |
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| 基金项目： | 国家自然科学基金项目（51538010） |
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| 摘 要： | 提出了实现复合泊松过程数值模拟的新途径,并建议采用随机谐和函数方法生成复合泊松过程.依据工程实例,验证了随机谐和函数方法模拟复合泊松过程的有效性.
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| 关 键 词： | 复合泊松过程 随机谐和函数 随机车辆荷载 |
| 收稿时间： | 2017-06-15 |
| 修稿时间： | 2017-10-24 |
Simulation of Compound Poisson Process Based on Stochastic Harmonic Function |
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| GAO Ruofan and LI Jie. Simulation of Compound Poisson Process Based on Stochastic Harmonic Function[J]. Journal of Tongji University(Natural Science), 2017, 45(12): 1731-1738 |
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| Authors: | GAO Ruofan and LI Jie |
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| Affiliation: | College of Civil Engineering, Tongji University, Shanghai 200092, China and State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China |
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| Abstract: | A new approach to the numerical simulation of compound Poisson process was proposed. The stochastic harmonic function method was adopted to generate the compound Poisson process. Based on the engineering example, the validity of the stochastic harmonic function method to simulate the compound Poisson process was verified. |
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| Keywords: | compound Poisson process stochastic harmonic function random vehicle load |
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