振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2014年
10期
34-37
,共4页
周星德%吴利平%曾鹏%韩婷婷%林荣庚
週星德%吳利平%曾鵬%韓婷婷%林榮庚
주성덕%오리평%증붕%한정정%림영경
高速列车%分数阶%Riemann-Liouville%阻尼等效%Oustaloup算法
高速列車%分數階%Riemann-Liouville%阻尼等效%Oustaloup算法
고속열차%분수계%Riemann-Liouville%조니등효%Oustaloup산법
high-speed train%fractional order%Riemann-Liouville%equivalent damping order%Oustaloup method
为更准确描述列车道轨地基土体阻尼特征,引入分数阶模型。各层土体分数阶次通过Riemann-Liouville分数阶定义、测试数据,据曲线拟合方式确定;考虑含分数阶运动方程计算复杂,将各土层分数阶次借助阻尼等效原则变为一等效分数阶次;采用Oustaloup算法将分数阶通过频域逼近方式获得整数阶表示。用Matlab软件进行仿真分析,并与实测结果对比。
為更準確描述列車道軌地基土體阻尼特徵,引入分數階模型。各層土體分數階次通過Riemann-Liouville分數階定義、測試數據,據麯線擬閤方式確定;攷慮含分數階運動方程計算複雜,將各土層分數階次藉助阻尼等效原則變為一等效分數階次;採用Oustaloup算法將分數階通過頻域逼近方式穫得整數階錶示。用Matlab軟件進行倣真分析,併與實測結果對比。
위경준학묘술열차도궤지기토체조니특정,인입분수계모형。각층토체분수계차통과Riemann-Liouville분수계정의、측시수거,거곡선의합방식학정;고필함분수계운동방정계산복잡,장각토층분수계차차조조니등효원칙변위일등효분수계차;채용Oustaloup산법장분수계통과빈역핍근방식획득정수계표시。용Matlab연건진행방진분석,병여실측결과대비。
A fractional derivative model was developed for predicting ground vibrations induced by high-speed trains.In order to determine the order of fractional derivative of each soil layer,on the premise that the maximum strain of ground is less than 3%and the strain approximately linearly changes with time,a linear strain hypothesis was put forward. The damping function with fractional derivative was proposed by simulating Binghamton model.The order of fractional derivative of each soil layer was obtained by using Riemann-Liouville fractional derivative and curve fitting.As the order of fractional derivative was complex and difficult to calculate when different fractional orders existed in equations of motion,a generalized damping energy was defined in order to acquire an equivalent damping order of fractional derivatives.At last, a Sweden's X2000 high-speed passenger train was taken as an example,the feasibility of the proposed method was demonstrated by comparing the simulation results with the proposed method with test data.