一种改进了的矩闭合法及其在振动工程中的应用

An improved Gaussion closure technique and its applications

本文提出了一种求解多自由度非线性随机振动问题的改进的高斯闭合法。此法解决了一般高斯闭合法自谱有时会出现负值的矛盾,并且方程数仅为文献[4]的1/4,还避免了文献[4]方法在解某些方程时所导致的错误。从算例上看,本方法得到了与等效线性化方法一致的结果,又可以得到等效线性化方法所得不到的某些频域信息。此外,文中还用此方法分析了装有非线性减振器的风力灭火风机车辆系统的振动。

In this paper, an improved Gaussian technique is presented for solving the problems of the non-linear random vibration fo multi-degrees of freedom. Uing this technique, the contradiction that the value of the Auto-spectrum might be negative by use of the general Gaussian Closure Technique can be eliminated, and the number of equations is only one-fourth of that listed in Ref. (4). Moreover, the errors resulted in using the technique of Ref. (4)in solving Certain not only the results which are in accordance with those obtained by using the method of equivalent linearization, but also some informations of the frequency ranges, which can not be determined by the latter method. Finally, the vibration of the system of a tractor together with a wind-force fire-extinguisher, installed with four non-linear vi-brati on-absorbers is analysed.