加权随机减量法

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.

Weighted Random Decrement Method

The Random Decrement Method (RDM) presented in early 1970's is a technique used to obtain a free vibratian time history from random response of a system.The RDM requires only some qualitative knowledge of the random excitation and no informatian of the quantity. In this paper the weighted Random Decrement Method (WRDM) is presented. The arithmatic mean of shifted signal segments in the conventional RDM is substituted by the weighted mean of those segments in WRDM. The elementary theoretical result and numerical computation show that the WRDM possesses higher accuracy than the conventianal RDM when proper weighted functions are selected. obviously the RDM is a special case of the WRDM.