Volterra series is a powerful mathematical tool for nonlinear system analysis,and there is a wide range of nonlinear engineering systems and structures that can be represented by a Volterra series model.In the present...Volterra series is a powerful mathematical tool for nonlinear system analysis,and there is a wide range of nonlinear engineering systems and structures that can be represented by a Volterra series model.In the present study,the random vibration of nonlinear systems is investigated using Volterra series.Analytical expressions were derived for the calculation of the output power spectral density（PSD） and input-output cross-PSD for nonlinear systems subjected to Gaussian excitation.Based on these expressions,it was revealed that both the output PSD and the input-output crossPSD can be expressed as polynomial functions of the nonlinear characteristic parameters or the input intensity.Numerical studies were carried out to verify the theoretical analysis result and to demonstrate the effectiveness of the derived relationship.The results reached in this study are of significance to the analysis and design of the nonlinear engineering systems and structures which can be represented by a Volterra series model.展开更多
Due to the extensive applicability in real life, the non-smooth system with random factors attracted much attention in past two decades. A lot of methods and techniques have been proposed to research these systems by ...Due to the extensive applicability in real life, the non-smooth system with random factors attracted much attention in past two decades. A lot of methods and techniques have been proposed to research these systems by scholars. In this paper, we will summarize some new research advance on the stochastic non-smooth systems. The existing results about the stochastic vibro-impact system, the stochastic friction system, and the stochastic hysteretic system are introduced respectively. Some conclusions and outlook are given at the end.展开更多
The response simulation is studied and the steering safety is evaluated by using finer integration method for driver vehicle closed loop system with stationary random road input.This algorithm not only is precise, b...The response simulation is studied and the steering safety is evaluated by using finer integration method for driver vehicle closed loop system with stationary random road input.This algorithm not only is precise, but also can shorten the evaluation period of steering safety and reduce the tremendous cost for real vehicle testing.The response simulation and the vehicle steering safety evaluation are also studied for the closed loop system with evolutionary random road input.The study can more truly evaluate vehicle driving for including the slowly varying of vehicle velocity with time.展开更多
基金supported by the National Science Fund for Distinguished Young Scholars (11125209)the National Natural Science Foundation of China (10902068,51121063 and 10702039)+1 种基金the Shanghai Pujiang Program (10PJ1406000)the Opening Project of State Key Laboratory of Mechanical System and Vibration (MSV201103)
文摘Volterra series is a powerful mathematical tool for nonlinear system analysis,and there is a wide range of nonlinear engineering systems and structures that can be represented by a Volterra series model.In the present study,the random vibration of nonlinear systems is investigated using Volterra series.Analytical expressions were derived for the calculation of the output power spectral density（PSD） and input-output cross-PSD for nonlinear systems subjected to Gaussian excitation.Based on these expressions,it was revealed that both the output PSD and the input-output crossPSD can be expressed as polynomial functions of the nonlinear characteristic parameters or the input intensity.Numerical studies were carried out to verify the theoretical analysis result and to demonstrate the effectiveness of the derived relationship.The results reached in this study are of significance to the analysis and design of the nonlinear engineering systems and structures which can be represented by a Volterra series model.
基金Projected supported by the National Natural Science Foundation of China(Grant No.11472212)the Natural Science Basic Research Plan in Shaanxi Province,China(Grant No.2018JM1043)the Fundamental Research Fund for the Central Universities,China(Grant No.3102018ZY043)
文摘Due to the extensive applicability in real life, the non-smooth system with random factors attracted much attention in past two decades. A lot of methods and techniques have been proposed to research these systems by scholars. In this paper, we will summarize some new research advance on the stochastic non-smooth systems. The existing results about the stochastic vibro-impact system, the stochastic friction system, and the stochastic hysteretic system are introduced respectively. Some conclusions and outlook are given at the end.
文摘The response simulation is studied and the steering safety is evaluated by using finer integration method for driver vehicle closed loop system with stationary random road input.This algorithm not only is precise, but also can shorten the evaluation period of steering safety and reduce the tremendous cost for real vehicle testing.The response simulation and the vehicle steering safety evaluation are also studied for the closed loop system with evolutionary random road input.The study can more truly evaluate vehicle driving for including the slowly varying of vehicle velocity with time.
