南京航空航天大学学报2017，Vol.49Issue(6)：839-844,6.DOI:10.16356/j.1005-2615.2017.06.013
一种基于白噪声的多点激励随机信号生成方法
New Random Signal Generating Method of Multiple Excitation Vibration System Based on White Noises
摘要
Abstract
To improve the generating precision of driving signal in multiple-input multiple-out (MIMO) linear random vibration test system ,a new method called Cholesky decomposition (CD) filter based on w hite noise is proposed according to the matrix decomposition theory in view of the nonnegative definite Hermite characteristic of driving powr spectral density (PSD) .The lower triangular matrix with particu-lar frequency response transfer characteristics is constructed .A series of independent w hite noises are passed through the system ,and the multiple stationary random signals with articipative coherence per-formance ,phases and self-PSD are obtained .A two-input two-output simulation system based on a can-tilever beam is established to verify the effectiveness of the proposed method .The mixed reference spec-trum including board and narrow random signals is set and the results between the traditional time-fre-quency transformation method based on Fourier transform and the new method are compared .The re-sults show that the new method has high accuracy in the self-spectrum and cross-spectrum ,and can meet the technical requirements of engineering application ,thus improving the effect of random vibra-tion environment test control .关键词
驱动谱/白噪声/随机振动/Cholesky分解/频响模型Key words
driving spectrum/w hite noise/random vibration/Cholesky decomposition/frequency re-sponse model分类
数理科学引用本文复制引用
张步云,陈怀海,汪若尘,王勇,曾发林..一种基于白噪声的多点激励随机信号生成方法[J].南京航空航天大学学报,2017,49(6):839-844,6.基金项目
国家自然科学基金(51705205)资助项目 （51705205）
江苏省高校自然科学研究面上(16KJD460001)资助项目 （16KJD460001）
江苏大学高级人才科研启动基金(15JDG166)资助项目. （15JDG166）
