摘要
本文从一般情形出发，为同源随机激励提出一个含义较广的定义。同源随机激励的特点是其功率谱矩阵可表示为一个列阵与其共轭行阵的乘积。在同源激励作用下，常多数线性系统的响应仍保持激励的上述特点，充分利用这一特点可以节约计算工作量。文中还借助模态分析给出了在同源平稳随机激励下响应功率谱矩阵的解析式，以及在同源演变随机激励下非平稳响应的演变谱表示式。
A mono-source random excitation is defined in a seneral way. The feature of mono-source sta-tionary random excitations lies in that the related power spectrum matrix can be expressed as a productof a column matrix and its conjugate row matrix. The response of a time-invariant linear system sub-jected to mono-source random excitations also retains this feature. Making full use of this feature, onecan save a lot of computational efforts in solving related problems. By means of modal analysis, wecan easily obtain in closed form the power spectrum or the evolutionary spectrum of the response due tomono-source random excitations.
出处
《应用力学学报》
CAS
CSCD
北大核心
1994年第3期50-56,共7页
Chinese Journal of Applied Mechanics
关键词
同源随机激励
机械振动
响应演变谱
momo-source stationary random excitation, response power spectrum, spectrum, mono-source evolutionary ran-dom excitation, response evolutionary spectrum, modal analysis.
