受热复合材料层合板的非线性热振动——Part Ι: 理论及数值分析

NONLINEAR THERMAL VIBRATION OF COMPOSITE LAMINATED PLATES ——PART Ⅰ: THEORY AND NUMERICAL ANALYSIS

  • 摘要: 基于能综合考虑温度效应以及横向线应变和剪切应变的高阶计算模型, 研究受热复合材料层合板的非线性热振动, 推导了非线性有限元方程并给出了相应的数值分析方法, 通过数值算例与已有文献相比较, 证明了本文理论和算法的精确有效性。文中还以大量数值算例研究了温度效应对幅频曲线的影响。

     

    Abstract: Nonlinear thermal vibration of composite laminated plates has been studied by using a new generalized higher order computing model considering both the transverse normal strain and shear strains. The validity and effectiveness of the model are demonstrated by comparison with the solutions obtained by the other existent references. The effects of temperature on the curve of dimensionless nonlinear vibration frequencies vs dimensionless amplitudes are especially investigated by numerical results.

     

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