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THE FEASIBILITY OF STATISTICAL ENERGY ANALYSIS IN THE MODELING OF STRINGED MUSICAL INSTRUMENTS

机译:弦乐器模型中统计能量分析的可行性

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Stringed musical instruments are complex vibrating systems both from structural and fluid-structure coupling perspectives; hence, their modeling is one of the most challenging tasks in the area of vibration and acoustics. Making a reliable model not only broadens our knowledge of the physics of these instruments, but also it simplifies the procedure of structural modification and optimization on them. In this regard, a Finite Element Model has been previously made from Setar and is verified with the experimental results. Although that model could precisely simulate the instrument in lower frequencies (i.e. below 2.5 KHz), its results showed a weak correlation with reality in higher frequencies. In fact, unreliable results and high computational demand are common drawbacks of finite element method in higher frequencies. To avoid these problems, in this study Setar is modeled with Statistical Energy Analysis (SEA) approach. This method is more efficient in dealing with high degree of uncertainty in the system. SEA does this by averaging the response over the frequency and location to gain a more general and reliable result. Application of SEA in higher frequencies is, in fact, compatible with the nature of musical instruments where in higher frequencies we are mostly interested in the trend of the response rather than the location of each individual peak.
机译:弦乐器是来自结构和流体结构耦合视角的复杂振动系统;因此,它们的建模是振动和声学领域最具挑战性的任务之一。制作可靠的模型不仅拓宽了对这些仪器的物理学的知识,还可以简化结构修改和优化的过程。在这方面,先前已由血型制造有限元模型,并用实验结果验证。虽然该模型可以精确地模拟较低频率(即低于2.5 kHz)的仪器,但其结果表明与较高频率的现实较弱。实际上,不可靠的结果和高计算需求是较高频率中有限元方法的常见缺点。为了避免这些问题,在本研究中,符合统计能量分析(海)方法的建模。这种方法在处理系统中的高度不确定性方面更有效。海面通过对频率和位置的响应进行平均来实现这一点,以获得更一般和可靠的结果。事实上,海上在较高频率中的应用是兼容乐器的性质,在较高频率的情况下,我们主要对响应的趋势感兴趣而不是每个峰的位置。

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