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随机减量方法是70年代初提出的一种获取线性振动系统自由响应的技术.这种方法对于施加在线性系统上的随机激励只有定性的要求,而没有定量的要求.本文在传统的算术平均的随机减量法的基础上,提出了加权相加时移信号段的加权随机减量法,作了初步的理论论证,并通过数值仿真计算,证实了若选择合适的权函数,加权随机减量法能比原来的方法有更高的精度.文中也指出了算术平均法是本文加权随机减量法的一利特例.
Random reduction method is a technique proposed in the early 1970s to obtain the free vibration response of a linear vibration system. This method has only qualitative requirements for random excitation applied to a linear system without any quantitative requirements. In this paper, Based on the random decrement method, a weighted random decrement method of weighted summed time-shifted signal segment is proposed, and a preliminary theoretical proof is made. Numerical simulations show that if the appropriate weight function is selected, weighted random subtraction Quantitative method can be more accurate than the original method.Also pointed out that the arithmetic mean method is a special case of this method of weighted random reduction method.