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Non-uniqueness in cylindrical shells optimization

机译:圆柱壳的非唯一性优化

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摘要

During the optimization process of cylindrical shells, one is faced with a set of very unique challenges. Unlike that of simpler structures such as beams or plates, the modal spectrum of cylindrical shell exhibits very unique characteristics. Mode crossing, uniqueness modal spectrum, and redundancy of modal constraints are just a few of the unique attributes faced during the optimization process. In cylindrical shells, the lowest natural frequency is not necessarily associated with the lowest wave index. In fact, the natural frequencies do not fall in ascending order of the wave index either. Solution of the vibration problem of cylindrical shells also indicates repeated natural frequencies. These modes are referred to as double peak frequencies. Mode shapes associated with each one of the natural frequencies are usually a combination of (ⅰ) Radial (flexural), (ⅱ) Longitudinal (axial), and (ⅲ) Circumferential (torsional) modes. In this paper, the non-uniqueness in optimum design of cylindrical shells for vibration requirements is presented, and its implications are discussed. Related issues such as the new mode sequence, mode crossing, repeated natural frequencies and stationary modes are also discussed.
机译:在圆柱壳的优化过程中,人们面临着一系列非常独特的挑战。与简单的结构(如梁或板)不同,圆柱壳的模态光谱具有非常独特的特性。模式交叉,唯一性模态频谱和模式约束的冗余只是优化过程中面临的一些独特属性。在圆柱壳中,最低固有频率不一定与最低波指数相关联。实际上,固有频率也不以波指数的升序下降。圆柱壳振动问题的解决还表明了重复的固有频率。这些模式称为双峰值频率。与每个固有频率相关的模态形状通常是(ⅰ)径向(挠曲),(ⅱ)纵向(轴向)和(ⅲ)圆周(扭转)模态的组合。本文提出了满足振动要求的圆柱壳优化设计的非唯一性,并讨论了其含义。还讨论了相关问题,例如新模式序列,模式交叉,重复固有频率和固定模式。

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