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ON THE PREDICTION OF THE RAYLEIGH DAMPING COEFFICIENTS FOR DIFFERENT MATERIAL PLATES HAVING VARIOUS BOUNDARY CONDITIONS

机译:关于具有各种边界条件的不同材料板的瑞利阻尼系数的预测

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Rayleigh damping coefficients a and p are needed to compute damping ratios and then to assemble the Rayleigh damping matrix [C] required in the predictive computations of dynamic responses of various plates with the assumption that the dissipation of energy is only through material damping. In this paper, an experimental work is carried out together with the analytical investigation on square and rectangular plates made of steel, aluminum and brass with various boundary conditions. Up to the first fifteen modes of vibration of plates are studied to determine the natural frequencies, mode shapes and modal damping using experimental modal analysis. Nonlinear regression and influence diagnostics with normality and constant variance tests were employed to fit a two-parameter model. The agreement between estimated damping ratios using the Rayleigh damping coefficients a and S, thus obtained, and the ones found experimentally is fairly satisfactory.
机译:Rayleigh阻尼系数A和P需要计算阻尼比,然后以假设能量的耗散仅通过材料阻尼,组装在各种板的动态响应的预测计算所需的瑞利阻尼矩阵[C]。在本文中,将实验工作与钢,铝和黄铜制成的正方形和矩形板的分析研究一起进行,具有各种边界条件。通过实验模态分析研究了由图板的第一十五种振动模式进行了研究,以确定自然频率,模式形状和模态阻尼。采用非线性回归和影响诊断常态和恒定方差测试来适合两个参数模型。使用瑞利阻尼系数A和S的估计阻尼比之间的协议,由此获得的思维阻尼比率和实验发现的估计是相当令人满意的。

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