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An accurate higher-order theory and C~0 finite element for free vibration analysis of laminated composite and sandwich plates

机译：精确的高阶理论和C〜0有限元用于层合复合材料和夹层板的自由振动分析

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摘要

At present, it is difficult to accurately predict natural frequencies of sandwich plates with soft core by using the C~0 plate bending elements. Thus, the C~1 plate bending elements have to be employed to predict accurately dynamic response of such structures. This paper proposes an accurate higher-order C~0 theory which is very different from other published higher-order theory satisfying the interlaminar stress continuity, as the first derivative of transverse displacement has been taken out from the in-plane displacement fields of the present theory. Therefore, the C~0 interpolation functions is only required during its finite element implementation. Based on the Hamilton's principle and Navier's technique, analytical solutions to the natural frequency analysis of simply-supported laminated plates have been presented. To further extend the ranges of application of the proposed theory, an eight-node C~0 continuous isoparametric element is used to model the proposed theory. Numerical results show the present C~0 finite element can accurately predict the natural frequencies of sandwich plate with soft core, whereas other global higher-order theories are unsuitable for free vibration analysis of such soft-core structures.
机译：目前，通过使用C〜0板弯曲元件很难准确地预测具有软芯的夹心板的固有频率。因此，必须使用C_1板弯曲元件来准确预测这种结构的动态响应。本文提出了一种精确的高阶C〜0理论，该理论与其他已满足层间应力连续性的高阶理论非常不同，因为已经从目前的面内位移场中提取了横向位移的一阶导数。理论。因此，仅在其有限元实现期间才需要C〜0插值函数。基于汉密尔顿原理和纳维尔技术，提出了简单支撑叠层板固有频率分析的解析解。为了进一步扩展所提出的理论的应用范围，使用了八节点的C〜0连续等参元素对所提出的理论进行建模。数值结果表明，目前的C〜0有限元可以准确地预测具有软芯夹层板的固有频率，而其他全局高阶理论不适用于这种软芯结构的自由振动分析。

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  • 来源
    《Composite Structures》 |2010年第6期|1299-1307|共9页
  • 作者

    Wu Zhen; Chen Wanji; Ren Xiaohui;

  • 作者单位

    Institute for Structural Analysis of Aerocraft, Shenyang Institute of Aeronautical Engineering, Shenyang 110136, China;

    Institute for Structural Analysis of Aerocraft, Shenyang Institute of Aeronautical Engineering, Shenyang 110136, China State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China;

    Institute for Structural Analysis of Aerocraft, Shenyang Institute of Aeronautical Engineering, Shenyang 110136, China State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    higher-order theory; C~0 finite element; natural frequency; laminated composite plate; soft-core sandwich plate;

    机译：高阶理论C〜0有限元;固有频率层压复合板软芯夹心板;

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