Derivatives are the foundation of mathematical calculations,however,for some functions, using the rules of finding a derivative may lead to cumbersome steps. Therefore, this paper provides a simple way using transform...Derivatives are the foundation of mathematical calculations,however,for some functions, using the rules of finding a derivative may lead to cumbersome steps. Therefore, this paper provides a simple way using transformation thought for the reciprocal function derivative.展开更多
The reciprocity measurement theory in anomalous reverberant sound fields was investigated.An improved method Was proposed due to the interrelated errors.The source volume velocity Was corrected by spatial average of m...The reciprocity measurement theory in anomalous reverberant sound fields was investigated.An improved method Was proposed due to the interrelated errors.The source volume velocity Was corrected by spatial average of measurement results and evaluation of the reverberant sound field influence on acoustic energy density.The result was validated in underwater experiment,corrected reciprocity measurement results were almost the same as direct measurement results.It indicates that reverberant sound field does not affect the validitv of the principle,but influences the obtainment of source volume velocity,then influences the measurement of transfer functions with the principle.The proposed method is simple and effective in anomalous reverberant sound fields.The study mav be valuable for the applications which are based on the principle.展开更多
文摘Derivatives are the foundation of mathematical calculations,however,for some functions, using the rules of finding a derivative may lead to cumbersome steps. Therefore, this paper provides a simple way using transformation thought for the reciprocal function derivative.
基金supported by the National Natural Science Foundation of China(51209214)
文摘The reciprocity measurement theory in anomalous reverberant sound fields was investigated.An improved method Was proposed due to the interrelated errors.The source volume velocity Was corrected by spatial average of measurement results and evaluation of the reverberant sound field influence on acoustic energy density.The result was validated in underwater experiment,corrected reciprocity measurement results were almost the same as direct measurement results.It indicates that reverberant sound field does not affect the validitv of the principle,but influences the obtainment of source volume velocity,then influences the measurement of transfer functions with the principle.The proposed method is simple and effective in anomalous reverberant sound fields.The study mav be valuable for the applications which are based on the principle.
