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中文核心期刊

多轴预应力对聚乙烯板壳结构导波频散特性的影响

Effect of multiaxial prestress on dispersion characteristics of polyethylene plate/shell structures

  • 摘要: 结构应力作为典型环境因素会影响超声导波的传播特性。为此, 结合Murnaghan超弹性本构模型和声弹性理论, 构建了预应力板壳结构的频散分析模型, 并进行了声弹性导波实验验证; 分析了不同传播角度下, 任意多轴预应力对聚乙烯板壳结构中导波频散曲线、位移波结构和相速度的影响规律; 引入应力敏感因子量化了不同频率下导波模态对结构应力的敏感程度。研究表明, 传播平面内的不均匀应力状态会导致Lamb波和SH波的位移波结构相互耦合, 从而改变频散曲线的走向分布; 多轴预应力下导波模态的相速度变化可近似分解为单轴应力影响的线性叠加; SH0模态和中高频范围(>20 kHz∙mm)的Lamb-A0模态具有较弱的应力敏感性, 作为导波激励模态可以有效降低结构应力的信号干扰。

     

    Abstract: Structural stress, as a typical environmental factor, can significantly influence the propagation characteristics of ultrasonic guided waves. In this study, a dispersion analysis model for prestressed plate-shell structures was developed by combining the Murnaghan hyperelastic constitutive model with acoustoelastic theory, and its accuracy was validated through acoustoelastic guided wave experiments. The effects of arbitrarily applied multiaxial prestress on the dispersion curves, displacement field structures, and phase velocities of guided waves in polyethylene plate-shell structures were analyzed for different propagation angles. A stress sensitivity factor was introduced to quantify the sensitivity of various guided-wave modes to structural stress across different frequencies. The results reveal that an in-plane non-uniform stress state induces coupling between the displacement fields of Lamb and SH waves, thereby altering the trend and distribution of dispersion curves. Under multiaxial prestress, the phase velocity variation of guided wave modes can be approximately decomposed into a linear superposition of individual uniaxial stress effects. Moreover, the SH0 mode and the Lamb-A0 mode in the frequency range (>20 kHz∙mm) exhibit relatively low stress sensitivity, making them suitable excitation modes to effectively suppress signal interference caused by structural stress.

     

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