摘要
经典室内声场简正波理论,结果只有混响场而无直达声,显见是错误的。然而理论本身却完全符合传统的分散系统处理方法,又被认为不能有错,几十年来这个问题未能解决。本文中提出,结果的错误不在数学处理,而在物理见解,在于数学处理开始时对声源的假设。现提出双声源理论,实现于波动方程中,解之,乃得到正确的结果,符合实验与常识。在适当条件下,近似值与统计声学所得结果基本一致。这个问题说明在科学研究中数学处理和实验虽重要,但物理分析是绝对必要的。
Classical normal-mode theory gives only the reverberant sound field in a room without the direct sound. Apparently it is wrong. But the theory was ever supported because it complied exactly with the traditional treatment of a distributed system of vibration. The question persisted for more than half a century. It is suggested that the mistaken result is not the matter of mathematical treatment, but that of physical insight, the treatment's wrong start about sound source assumption. A theory of double sound source is proposed. Realized it in the equation of wave motion, after solving, the correct result of sound field in a room is obtained, conforming both with experiments and common knowledge. Under certain conditions, the result is approximated to a form, essentially agrees with the formula obtained from energy considerations of sound field in room. This problem shows definitely that the physics analysis is indispensable, in the scientific research work, although mathematical treatment and experiments are important.
出处
《声学学报》
EI
CSCD
北大核心
2004年第1期1-5,共5页
Acta Acustica
