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Control Analysis of the Polar Orthotropic Sandwich Annular Plate with ER Core Layer

含電變流體心層之極正交三明治環板的控制分析

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摘要


本文主要在於推導並建立極正交三明治環板系統的運動方程式與分析模型的建立。採用分析力學(analytical mechanics)的方式來推導系統的運動方程式並利用離散層有限元素法(discrete layer finite element method)來分析系統的振動特性與阻尼變化。 在本文中討論了含電變流體之極正交三明治環板系統的自由振動與阻尼特性,其中所使用的電變流體材料特性則利用複數的形式來加以描述。文中討論電變流體的特性與施加的電場強度對於極正交三明治環板系統振動特性的影響。而系統的模態損失因子會隨著施加電場強度的改變而產生變化。 此外,貼附之阻尼層厚度及外加電場強度對系統的振動與阻尼特性變化亦有相關的分析結果。因此,在此極正交三明治環板上貼覆此類主動式智能材料阻尼層除了可使系統更加的穩定外,也可達到主動控制的效果。

並列摘要


In this investigation, control analysis of polar orthotropic annular plate with an electrorheological (ER) fluid core and constraining layer is studied. The equations of motion of the polar orthotropic annular sandwich plate are derived by using the discrete layer finite element method. The extensional and shear moduli of the electrorheological fluid layer are described by the complex quantities. When applying an electric field, the rheological property of the electrorheological fluid materials, such as viscosity, plasticity, and elasticity can be changed. The damping of the sandwich system is more effective when the electric fields are applied on the system. The ER fluid core is found to have a significant effect on the vibrational behaviors of the sandwich annular plate. The effects of some designed parameters on natural frequencies and modal loss factors are also discussed in this paper.

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