Rapid calculations of time-harmonic nearfield pressures produced by rectangular pistons
Rapid calculations of time-harmonic nearfield pressures produced by rectangular pistons
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DOI：
10.1121/1.1694991
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发表时间：
2004-05-01
影响因子：
2.4
通讯作者：
McGough, RJ
中科院分区：
文献类型：
--
作者：
McGough, RJ
导出了一种计算矩形活塞在时谐激励下近场压力分布的快速方法。这种快速的方法提高了相对于脉冲响应的数值性能，其等效积分表达式消除了由反三角函数引起的数值奇异性。在宽5波长，高7.5波长的矩形源的压力场计算中，用时谐脉冲响应解证明了所产生的误差。仿真结果表明，该方法消除了脉冲响应带来的奇异性。然后根据相对误差和计算速度对压力场计算结果进行评估。结果表明，当两种方法采用相同数目的高斯横坐标时，快速方法的计算速度始终快于脉冲响应，且快速方法的最大误差始终小于脉冲响应。对于指定的最大误差值为10%和1%，快速方法比在61 × 101点网格上进行压力场计算的脉冲响应快2.6倍。对于更小的误差和更大的网格，快速的方法实现了更大的计算时间的减少。(C) 2004美国声学学会。
A rapid method for calculating the nearfield pressure distribution generated by a rectangular piston is derived for time-harmonic excitations. This rapid approach improves the numerical performance relative to the impulse response with an equivalent integral expression that removes the numerical singularities caused by inverse trigonometric functions. The resulting errors are demonstrated in pressure field calculations using the time-harmonic impulse response solution for a rectangular source 5 wavelengths wide by 7.5 wavelengths high. Simulations using this source geometry show that the rapid method eliminates the singularities introduced by the impulse response. The results of pressure field computations are then evaluated in terms of relative errors and computational speeds. The results show that, when the same number of Gauss abscissas are applied to both approaches for time-harmonic pressure field calculations, the rapid method is consistently faster than the impulse response, and the rapid method consistently produces smaller maximum errors than the impulse response. For specified maximum error values of 10% and 1%, the rapid method is 2.6 times faster than the impulse response for pressure field calculations performed on a 61 by 101 point grid. The rapid approach achieves even greater reductions in the computation time for smaller errors and larger grids. (C) 2004 Acoustical Society, of America.