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Non-linear vibration response of laminated fibre-reinforced rectangular plates

机译:叠层纤维增强矩形板的非线性振动响应

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摘要

This paper investigates the non-linear free and forced vibration response of immovable simply-supported composite rectangular plates. The plates are symmetric and are subjected to a transverse pressure which is harmonic in time. A novel procedure is implemented to obtain the non-linear ordinary differential equation by using first order shear deformation theory and Galerkin method. The multiple time scales perturbation method is utilised to obtain an analytical closed-form expression for the non-linear frequency and frequency response equation of the studied plates. After validation of present study with available literature, the non-linear free and forced vibrations of a fibre-metal laminated plate, named Glare 3, have been investigated. Also, the effects of some system parameters on the non-linear frequency have been studied.
机译:本文研究了不可移动的简支复合矩形板的非线性自由振动和强迫振动响应。板是对称的,并且承受横向谐波,该横向压力在时间上是谐波。利用一阶剪切变形理论和Galerkin方法,实现了求解非线性常微分方程的新方法。利用多重时标摄动法获得了所研究板块的非线性频率和频率响应方程的解析闭式表达式。在通过现有文献验证了本研究之后,对名为Glare 3的纤维金属层压板的非线性自由振动和强迫振动进行了研究。此外,还研究了一些系统参数对非线性频率的影响。

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