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The Influence of Structural Parameters and Boundary Conditions on the Sound Radiation of the Cylindrical Shell of Fibrous Composite Material with Polymer Matrix

机译:结构参数和边界条件对聚合物基质纤维复合材料圆柱壳体的影响

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Mathematical and computer models for the stationary dynamics of multilayered composite shells of rotation under vibration load are proposed. The Timoshenko model is used, which takes into account the deformation of transverse displacement and rotation inertia. The external surface of the shell contacts with the linear acoustic medium, its response being evaluated with the Helmholtz integral. Amplitude-frequency and dissipative characteristics of the "composite shell-acoustic medium" system, depending on the shell structure, as well as physical and mechanical properties of the composite components are investigated. Constitutive equations of polymeric binding are used, which take into account nonlinear and non-monotonic dependence of physical and mechanical properties on both load frequency and temperature. Irradiation of acoustic energy into environment, as well as internal loss of mechanical energy in the shell, is analyzed. The Fourier factorization method is used in the numerical experiment. The resulting system of equations of the normal type 10th order is solved with the help of transition method applied to Cauchy problems, the stable convolution method being efficiently used. Forced harmonic vibrations of a circular cylindrical shell of the polymer composite in the acoustic media are considered. Numerically the maximum levels of sound radiation depending on the boundary conditions and the structural parameters of the shell are investigated.
机译:提出了振动负荷下旋转旋转旋转旋转动力学的数学和计算机模型。使用Timoshenko模型,这考虑了横向位移和旋转惯性的变形。壳体触点与线性声学介质的外表面,其响应被亥姆霍兹积分评估。研究了根据壳结构的“复合壳 - 声介质”系统的幅度频率和耗散特性,以及复合组分的物理和机械性能。使用聚合物结合的组成方程,其考虑了对载荷频率和温度的物理和机械性能的非线性和非单调依赖性。分析了对环境的照射,以及壳体中机械能的内部损失。傅里叶分解方法用于数值实验。借助于应用于Cauchy问题的转变方法,解决了正常型10阶的所得方程系统,稳定使用稳定的卷积方法。考虑了声学介质中聚合物复合材料的圆柱形壳的强制谐波振动。根据边界条件,研究了根据边界条件和结构参数的最大声辐射水平。

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