中国科技论文
中國科技論文
중국과기논문
Sciencepaper Online
2014年
11期
1310-1315
,共6页
李仙果%周宇%叶庆卫%王晓东
李仙果%週宇%葉慶衛%王曉東
리선과%주우%협경위%왕효동
复指数法%模型阶次%最小二乘法%稀疏优化
複指數法%模型階次%最小二乘法%稀疏優化
복지수법%모형계차%최소이승법%희소우화
complex exponential algorithm%model’s order%least square method%sparse optimization
针对复指数法(CE)需要准确定阶且对噪声敏感的问题,提出一种稀疏改进的复指数算法。先用高阶次的拟合模型进行模态计算,然后用稀疏优化法代替最小二乘法计算振型系数,从众多振型系数中自动选出真实模态对应的系数,最终达到剔除虚假模态的目的。通过引入稀疏优化方法解决了使用高阶拟合模型难以有效剔除虚假模态的问题,突破了模型阶次不能过高的限制,提高了算法的精度和抗噪声性能,令其在斜拉索基频测试中表现出更高的识别精度。
針對複指數法(CE)需要準確定階且對譟聲敏感的問題,提齣一種稀疏改進的複指數算法。先用高階次的擬閤模型進行模態計算,然後用稀疏優化法代替最小二乘法計算振型繫數,從衆多振型繫數中自動選齣真實模態對應的繫數,最終達到剔除虛假模態的目的。通過引入稀疏優化方法解決瞭使用高階擬閤模型難以有效剔除虛假模態的問題,突破瞭模型階次不能過高的限製,提高瞭算法的精度和抗譟聲性能,令其在斜拉索基頻測試中錶現齣更高的識彆精度。
침대복지수법(CE)수요준학정계차대조성민감적문제,제출일충희소개진적복지수산법。선용고계차적의합모형진행모태계산,연후용희소우화법대체최소이승법계산진형계수,종음다진형계수중자동선출진실모태대응적계수,최종체도척제허가모태적목적。통과인입희소우화방법해결료사용고계의합모형난이유효척제허가모태적문제,돌파료모형계차불능과고적한제,제고료산법적정도화항조성성능,령기재사랍색기빈측시중표현출경고적식별정도。
In order to resolve the issues that complex exponential (CE)algorithm is sensitive to noise and need be known accurate-ly before using this algorithm,an improved algorithm of CE was proposed in this paper.Firstly,a high-order mode was assumed and the least square method was replaced by sparse optimization method to calculate the coefficient of vibration mode.In this way,the coefficients and modals could be filtered automatically from the calculated modals.The improved algorithm can eliminate the false modals in the case of strong noise so that a high-order model can be used effectively.As a result,the accuracy and anti-noise capability of the proposed method are improved.The result showed more successful in the test to detect the fundamental frequency of stay cables.