Comparisons of the common methods for obtaining the periodic responses show that the harmonic balance method with alternating frequency/time (HB-AFT) do- main technique has some advantages in dealing with nonlinear ...Comparisons of the common methods for obtaining the periodic responses show that the harmonic balance method with alternating frequency/time (HB-AFT) do- main technique has some advantages in dealing with nonlinear problems of fractional exponential models. By the HB-AFT method, a rigid rotor supported by ball bearings with nonlinearity of Hertz contact and ball passage vibrations is considered. With the aid of the Floquet theory, the movement characteristics of interval stability are deeply studied. Besides, a simple strategy to determine the monodromy matrix is proposed for the stability analysis.展开更多
本文研究用有限元法计算桥梁涡激振动的时程响应。应用条带假设和半经验半解析的Scanlan第二涡激作用力模型实现涡激作用力在时间和空间上的离散化;针对Scanlan模型中Van der Pol性质的时间频率混合项,引入时频混合格式的AFT方法来计算...本文研究用有限元法计算桥梁涡激振动的时程响应。应用条带假设和半经验半解析的Scanlan第二涡激作用力模型实现涡激作用力在时间和空间上的离散化;针对Scanlan模型中Van der Pol性质的时间频率混合项,引入时频混合格式的AFT方法来计算涡振时程响应,并通过算例验证了该方法的可行性。与传统的连续模型和随机振动理论计算桥梁涡激响应方法相比,时程计算可以考虑多振型的组合作用,结构非线性等多种影响,具有更大的灵活性。展开更多
基金supported by the National Natural Science Foundation of China(No.10632040)
文摘Comparisons of the common methods for obtaining the periodic responses show that the harmonic balance method with alternating frequency/time (HB-AFT) do- main technique has some advantages in dealing with nonlinear problems of fractional exponential models. By the HB-AFT method, a rigid rotor supported by ball bearings with nonlinearity of Hertz contact and ball passage vibrations is considered. With the aid of the Floquet theory, the movement characteristics of interval stability are deeply studied. Besides, a simple strategy to determine the monodromy matrix is proposed for the stability analysis.
文摘本文研究用有限元法计算桥梁涡激振动的时程响应。应用条带假设和半经验半解析的Scanlan第二涡激作用力模型实现涡激作用力在时间和空间上的离散化;针对Scanlan模型中Van der Pol性质的时间频率混合项,引入时频混合格式的AFT方法来计算涡振时程响应,并通过算例验证了该方法的可行性。与传统的连续模型和随机振动理论计算桥梁涡激响应方法相比,时程计算可以考虑多振型的组合作用,结构非线性等多种影响,具有更大的灵活性。