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EIGEN ANALYSIS OF CYLINDRICAL TRANSDUCER ARRAY STRUCTURE

机译:圆柱形换能器阵列结构的特征分析

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The Finite Element method with 3D General shell element, is used to investigate the natural frequencies and mode shapes of clamped-free cylindrical transducer array structure. This structure is a cylindrical shell with large diameter and stiffened by both end rings. It has multiple opening on the circumference of shell. The gussets are placed on top and bottom of outer periphery of the cylindrical shell, which connects the shell with end ring stiffeners. The configuration of the proposed cylindrical shell analysed, has a multiplicity of engineering features like openings, gussets and end rings, that make the analysis quite challenging in comparison to the traditional cylindrical shell analysis. The above defined structure is idealized to cylindrical shell with both end ring structure only and referred as case 1. The basic assumption of Flugge shell theory is used. The resulting eigen value problem is formulated by Rayleigh -^sRitz method and the solution for the same is obtained by analytical method. The solution obtained by analytical method is referred as solution A. To validate this results, the solution obtained for the same structure (case 1) by Finite Element Method using the software NISA is referred as solution B. The results are compared with those obtained from the analytical method for the purpose of validation. In the lower circumferential mode, which is critical for the designers, the comparison of frequency parameter between the two methods were less than 10%. The structure in case 1 is further extended with addition of gussets and multiple openings to house transducer. It is referred as case 2. This structure, being complex in nature, eigen analysis is carried out using NISA. The results indicate that the effect of openings & gussets on eigen value has 3% variation. The knowledge provided in the paper shall go a long way in realising the hardware needed to mount a transducer array.
机译:具有3D通用壳元件的有限元方法,用于研究夹紧无圆柱形换能器阵列结构的自然频率和模式形状。这种结构是一个圆柱形壳,具有大直径并且通过两个端环加强。它在壳体的圆周上有多个开口。圆盘放置在圆柱形壳体的外周的顶部和底部,该壳体与端环加强件连接壳。所提出的圆柱形壳体的配置分析,具有多种工程特征,如开口,角撑板和端环,与传统的圆柱壳分析相比,分析非常具有挑战性。上述限定的结构非常适用于圆柱形壳体,其两个端环结构仅作为壳体1表示。使用闪烁壳理论的基本假设。由Rayleigh-^ Sritz方法制定所得的特征值问题,并通过分析方法获得相同的溶液。通过分析方法获得的溶液称为溶液A.为了验证该结果,通过使用软件NISA通过有限元方法获得相同结构(壳体1)的溶液称为溶液B.将结果与从中获得的结果进行比较用于验证目的的分析方法。在较低的圆周模式下,对于设计者至关重要,两种方法之间的频率参数的比较小于10%。在壳体1中进一步延伸了壳体1的结构,并加入露点和多个开口来容纳换能器。它被称为病例2.这种结构,性质复杂,使用NIANA进行eIGen分析。结果表明,开口和角裂对特征值的影响具有3%的变化。本文提供的知识应在实现安装换能器阵列所需的硬件时进行长路。

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