摘要
基于非嵌入式随机多项式展开法求解了含不确定海洋环境参数的波动方程,推导了数值积分法求解多项式系数的过程.针对常规概率配点法不能准确计算随不确定输入量剧烈变化的传播损失,提出了分段概率配点法,将输入变量区间进行合理分段,基于非嵌入式随机多项式展开法获得每段的随机多项式,继而得到整个输入变量区间对应的传播损失表达式.结果表明,数值积分法仅适合于计算随单个不确定海洋环境参数不剧烈变化的传播损失,分段概率配点法可高精度计算随不确定输入量剧烈变化的传播损失.
The proposed research seeks to examine the polynomial chaos coefficients for uncertain underwater acoustic field. The wave equation with uncertain ocean environment parameters problem was solved by using a non-intrusive polynomial chaos expansions （NPCE） method, in which the numerical integration method （NIM） was used to deduce the polynomial coefficients. It was discovered that the conventional probabilistic collocation method （PCM） could not calculate transmission loss （TL）, which varied severely with the uncertain input variables. The piecewise probabilistic collocation method （PPCM） was also explored. In PPCM, the input variable range was reasonably segmented, and the chaos polynomial of each segment was provided based on the NPCE method. Next the expres- sion of TL corresponding to the whole input variables was obtained. The results demonstrate that NIM is only suited to calculate TL, which does not vary greatly by one uncertain ocean environment parameter. However PPCM can accurately calculate TL varying severely with uncertain input variables.
出处
《哈尔滨工程大学学报》
EI
CAS
CSCD
北大核心
2013年第1期21-25,共5页
Journal of Harbin Engineering University
基金
国家自然科学基金资助项目(51009146)
关键词
不确定水声场
非嵌入式随机多项式展开法
随机多项式系数
数值积分法
分段概率配点法
uncertain underwater acoustic field
non-intrusive polynomial chaos expansions method
polynomial chaos coefficient
numerical integration method
piecewise probabilistic collocation method
