哈尔滨工业大学学报
哈爾濱工業大學學報
합이빈공업대학학보
JOURNAL OF HARBIN INSTITUTE OF TECHNOLOGY
2000年
3期
8-11
,共4页
赵正聪%高索文%王本利%马兴瑞
趙正聰%高索文%王本利%馬興瑞
조정총%고색문%왕본리%마흥서
动力学系统%随机振动%非线性阻尼%FPK(福克-普朗克-柯尔莫哥洛夫)方程
動力學繫統%隨機振動%非線性阻尼%FPK(福剋-普朗剋-柯爾莫哥洛伕)方程
동역학계통%수궤진동%비선성조니%FPK(복극-보랑극-가이막가락부)방정
dynamic system%stochastic vibration%nonlinear damping%FPK(Fokker-Planck-Kolmogorov) equation
为了研究在特殊随机激励下,色噪声对阻尼器响应的影响,直接从二维马尔可夫型方程出发来处理色噪声驱动的一维问题.从而导出了油液阻尼器受指数型高斯色噪声外激励时的速度响应的概率密度函数.还导出了当指数型高斯色噪声外激励相关时间足够长时的速度概率密度函数.此函数具有一种特殊形式.最后,通过数值仿真验证了本文的结果是正确的
為瞭研究在特殊隨機激勵下,色譟聲對阻尼器響應的影響,直接從二維馬爾可伕型方程齣髮來處理色譟聲驅動的一維問題.從而導齣瞭油液阻尼器受指數型高斯色譟聲外激勵時的速度響應的概率密度函數.還導齣瞭噹指數型高斯色譟聲外激勵相關時間足夠長時的速度概率密度函數.此函數具有一種特殊形式.最後,通過數值倣真驗證瞭本文的結果是正確的
위료연구재특수수궤격려하,색조성대조니기향응적영향,직접종이유마이가부형방정출발래처리색조성구동적일유문제.종이도출료유액조니기수지수형고사색조성외격려시적속도향응적개솔밀도함수.환도출료당지수형고사색조성외격려상관시간족구장시적속도개솔밀도함수.차함수구유일충특수형식.최후,통과수치방진험증료본문적결과시정학적
For the purpose of revealing the influence of colored noise on the response of oleo damper subject to special random excitation, this paper deals with the one dimension problem caused by colored noise by using the two dimensions Markov equation. The probability density function of velocity response of oleo damper excited by exponential colored Gaussian noise has been obtained. In addition, a special expression of probability density function of velocity response under the condition that the outer excitement correlation time of exponential colored Gaussian noise is long enough has been got. These results have been verified by numerical simulation.