分数导数三参数标准固体黏弹性材料的耗散性能
发布时间：2019-02-21 12:47
【摘要】：对分数导数三参数黏弹固体性材料的耗散性能进行了研究.基于黏弹性理论和分数阶导数理论,建立了分数导数黏弹性三参数标准固体模型,得到了分数导数黏弹性三参数固体模型的复柔量,并在此基础上得到了其耗损比和内摩擦角,以数值算例的形式分析了耗损比和内摩擦角随频率的变化规律.结果表明:在低频下的材料接近弹性材料;相反,在高频下,在每个周期有一个微小的耗散,并且趋近于一个有限值.频率越高,三参数固体的内耗频谱峰值所对应的横坐标值越接近1.
[Abstract]:The dissipative properties of three parameter viscoelastic solid materials with fractional derivatives are studied. Based on the viscoelastic theory and fractional derivative theory, a standard viscoelastic solid model with three parameters is established. The complex compliance of the viscoelastic three-parameter solid model with fractional derivative is obtained, and the loss ratio and the angle of internal friction are obtained. The variation of the loss ratio and the angle of internal friction with the frequency is analyzed in the form of numerical examples. The results show that the material at low frequency is close to elastic material, and on the contrary, at high frequency, there is a small dissipation at each cycle and approaches to a limited value. The higher the frequency, the closer the value of the transverse coordinate corresponding to the peak value of internal friction spectrum of the three-parameter solid.
【作者单位】： 信阳师范学院建筑与土木工程学院;
【基金】：河南省科技计划项目(142102210063) 河南省高等学校重点科研项目(15A560036)
【分类号】：TB301
本文编号：2427513
[Abstract]:The dissipative properties of three parameter viscoelastic solid materials with fractional derivatives are studied. Based on the viscoelastic theory and fractional derivative theory, a standard viscoelastic solid model with three parameters is established. The complex compliance of the viscoelastic three-parameter solid model with fractional derivative is obtained, and the loss ratio and the angle of internal friction are obtained. The variation of the loss ratio and the angle of internal friction with the frequency is analyzed in the form of numerical examples. The results show that the material at low frequency is close to elastic material, and on the contrary, at high frequency, there is a small dissipation at each cycle and approaches to a limited value. The higher the frequency, the closer the value of the transverse coordinate corresponding to the peak value of internal friction spectrum of the three-parameter solid.
【作者单位】： 信阳师范学院建筑与土木工程学院;
【基金】：河南省科技计划项目(142102210063) 河南省高等学校重点科研项目(15A560036)
【分类号】：TB301
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