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| The analysis of dynamic response bounds of an elastic beam subjected to an uncertain moving load and its applications |
| Received:July 28, 2018 Revised:September 02, 2018 |
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| DOI：10.7511/jslx20180728002 |
| KeyWord:elastic beam non-random vibration analysis interval process uncertain moving load dynamic response bounds |
| Author | Institution |
| 段民封 |
湖南大学 汽车车身先进设计制造国家重点实验室, 长沙 ;湖南大学 机械与运载工程学院, 长沙 ;东风日产乘用车有限公司 技术中心, 广州 |
| 姜潮 |
湖南大学 汽车车身先进设计制造国家重点实验室, 长沙 ;湖南大学 机械与运载工程学院, 长沙 |
| 李金武 |
湖南大学 汽车车身先进设计制造国家重点实验室, 长沙 ;湖南大学 机械与运载工程学院, 长沙 |
| 倪冰雨 |
湖南大学 汽车车身先进设计制造国家重点实验室, 长沙 ;湖南大学 机械与运载工程学院, 长沙 |
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| Abstract: |
| The vibration of an elastic beam under an uncertain moving load is one of the most important problems in engineering such as civil,mechanical and aerospace engineering.Given that the samples and uncertainty information of the moving load are inadequate in a lot of practical engineering problems,this paper quantifies the uncertain moving load by an interval process model which has been proposed by the authors recent years,and then a non-random vibration analysis method for an elastic beam excited by an uncertain moving load is developed.This paper firstly introduces the vibration differential equation of an elastic beam subjected to a deterministic moving load and its deterministic response of the beam in the form of analytic expression.Secondly,the interval model is applied to measure the uncertainty of the moving load,and then the analytic expression of the dynamic response boundaries of the elastic beam system is derived based on modal superposition method.Subsequently,the interval of the dynamic uncertain response is obtained.Finally,a typical engineering problem,the uncertain vibration of a bridge due to the interaction of vehicle-bridge system,is researched in detail. |
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