Abst'/> Free vibration characteristics of sigmoid-functionally graded plates reinforced by longitudinal and transversal stiffeners
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Free vibration characteristics of sigmoid-functionally graded plates reinforced by longitudinal and transversal stiffeners

机译:通过纵向和横向加劲肋增强的S型功能梯度板的自由振动特性

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AbstractThe main objective of this research paper is to investigate the positive influence of the stiffeners on the vibration of functionally graded plates based on an exact approach via Navier solution. The plate is reinforced by stiffeners in both longitudinal and transversal directions. The material properties of functionally graded materials (FGMs) media are distributed across the thickness based on a sigmoid-law form and are assumed to be temperature-dependent. By using the Hamilton's principle and the classical plate theory (CPT), the governing equations of motion are obtained. Based on the Navier solution, an exact solution is proposed for natural frequencies of simply supported rectangular plates. In addition, the effects of related parameters on natural frequencies are also addressed in detail. Finally, numerical examples are presented and compared with existing results.HighlightsAn exact solution for free vibration analysis.Plates are reinforced by longitudinal and transversal stiffeners.Based on the Kirchhoff's plate theory.Plates are made of sigmoid-functionally graded material (S-FGM).
机译: 摘要 本研究的主要目的是基于一种精确的方法,研究加劲肋对功能梯度板振动的积极影响。通过Navier解决方案。该板在纵向和横向上都由加强筋加强。功能梯度材料(FGM)介质的材料特性基于S型定律形式分布在整个厚度上,并假定是与温度相关的。利用汉密尔顿原理和经典板理论(CPT),获得了运动的控制方程。基于Navier解,提出了一种简单支撑矩形板固有频率的精确解。另外,还详细讨论了相关参数对固有频率的影响。最后,给出了数值示例并将其与现有结果进行比较。 突出显示 自由振动分析的精确解决方案。 通过纵向和横向加劲肋来加固板。 基于基尔霍夫平板理论。 板是由S型功能分级材料(S-FGM)制成。 < / ce:abstract-sec>

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