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Optimization of mid-frequency vibration for complex built-up systems using the hybrid finite element-statistical energy analysis method

机译：使用混合有限元统计能量分析方法优化复杂内置系统中频振动

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This article deals with the sensitivity analysis of dynamic response and optimal size design of complex built-up systems in the mid-frequency range. A complex built-up system may be fabricated from many components which often differ greatly in materials and sizes. It may be subjected to many different wavelength structural deformations and may typically exhibit mixed mid-frequency behaviour which is very sensitive to uncertainties at higher frequencies. To perform optimization on the mid-frequency vibration of complex built-up systems, the hybrid finite element (FE)-statistical energy analysis (SEA) method, in which the deterministic and statistical subsystem are respectively modelled using FE and SEA, is implemented in this work. In this context, an efficient direct differentiation method for sensitivity analysis is derived. Two numerical examples illustrate the efficiency and effectiveness of the proposed optimization model.
机译：本文涉及中频范围内复杂内置系统的动态响应和最佳尺寸设计的灵敏度分析。 复杂的内置系统可以由许多部件制造，这些部件通常在材料和尺寸下大量不同。 它可以受到许多不同的波长结构变形，并且通常可以表现出混合中频行为，其对更高频率的不确定性非常敏感。 为了在复杂建筑系统的中频振动上进行优化，混合有限元（FE） - 统计能量分析（SEA）方法，其中确定统计和统计子系统分别使用Fe和Sea建模，在其中建模 这项工作。 在这种情况下，推导了一种有效的直接分化方法，用于灵敏度分析。 两个数值示例说明了所提出的优化模型的效率和有效性。

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