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在参考文献[5]中,作者曾提出单自由度系统无阻尼强迫振动的矢量图解计算方法,本文将这方法进一步推广,应用到单自由度系统阻尼强迫振动。如所周知,当作用扰力随时间变化的图形为任意不规则甚且是断续的情况时,解析方法十分繁琐、累赘、甚至不再适用;这时,矢量图解计算方法并不受到限制并显示出它的优越性。 按照矢量图解计算的程序,进行近似的数值解算,也是可行的。 参照矢量图解计算方法的原理,本文导演出单自由度系统阻尼强迫振动一般性解答的一种表示式。当作用扰力函数以多项式形式给定时,用本文给出的表示式求解动力偏移函数,比较用现有一般解析方法要简捷一些。 本文对于矢量图解计算的具体程序列举了算例;对于本文给出的一般性解答的应用,也列举了算例。
In reference [5], the author has proposed a method of vector-vector solution for undamped forced vibration of a single-degree-of-freedom system. In this paper, the method is further generalized and applied to single-degree-of-freedom system for damping forced vibration. As is known to all, when the graph of the interaction disturbance over time is arbitrary and even intermittent, the analytical method is very cumbersome, cumbersome, or even no longer applicable; in this case, the calculation method of the vector diagram solution is not limited and Shows its superiority. It is also feasible to perform approximate numerical calculations in accordance with a vector-based solution. Referring to the principle of the solution of the vector calculation method, the director gives a general expression of the solution to the damping vibration of a single degree of freedom system. When the perturbation function is given in polynomial form, the dynamic offset function is solved by using the expression given in this paper. It is simpler to use the existing general analytical method. In this paper, we provide examples for the calculation of the vector-vector solution. For the application of the general solution given in this paper, examples are also given.