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中文核心期刊

室内稳态声场

Steady-state sound field in enclosures

  • 摘要: 经典简正波理论把一声源在室内产生的声场表达为一系列简正波之和.实验测量结果常不能用这个理论解释,因此猜想简正波公式不是室内波动方程的全解,而只是其混响声部分,还应有一代表直达声的部分.在本文中从简正波理论推导的严格审查中,从室内声场的理论分析和实验测量中,证实了这个猜想,证明室内声场应包括直达声和固边界影响而形成的驻波(简正波),并求得相应的表达式.

     

    Abstract: The classical normal-mode theory expresses the steady-state sound field in aroom produced by a point sound source as a series of normal modes of vibration. Experimental facts are often not explained by this theory,and it was conjectured that the normal-modeexpression is not the complete solution of the wave equation in the room,but only the reverberant part of it,and there should be an additional term representing the direct spherical radiation to make the solution complete. The problem is examined by critically reviewing thederivation of the normal-mode expression and by theoretical analysis of the steady-statesound field in a room,and experimental measurements therein. The conjecture is confirmed inthis way,and it is definitely shown that the the sound field should contain the direct wave aswell as the standing waves (normal modes) formed under the influence of the boundary surfaces.Relevent mathematical expressions are derived

     

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