重庆大学 航空航天学院
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国家自然科学(12227801, U1864208)；重庆市自然科学基金(CSTB2022NSCQ-MSX1443)；深空探测省部共建协同创新中心开放课题(SKTC202108)；国家科技重大专项项目(2017-VII-0011-0106)；河北省自然科学基金创新群体研究项目(A2020202002)；天津市 自然科学基金重点项目(S20ZDF077)；新疆兵团区域创新引导计划(2022BB004)。
1.College of Aerospace Engineering, Chongqing University;2.重庆大学硕士研究生，主要研究方向为超声无损检测方法
本文提出了一种基于兰姆波的正交铺层复合材料板弹性模量测量方法。正交铺设层合板相当于具有9个独立弹性常数的单层正交各向异性板。本文研究了正交各向异性板中S0模态兰姆波(S0波)群速度对9个工程弹性常数的敏感性。研究发现，在低频率厚度积下，S0波的群速度仅与正交各向异性板的拉伸弹性模量和面内泊松比有关。通过分析正交铺设层合板等效工程弹性常数的变化范围，发现正交铺设层合板的面内泊松比变化很小，足以忽略其对S0波群速度的影响。因此，可以用S0波的群速度来估计正交铺层复合材料板的拉伸弹性模量，并建立了S0波群速度与拉伸弹性模量的映射关系。该方法已在碳纤维增强正交铺设层合板上进行了数值模拟和实验验证。数值模拟和传统的静态拉伸实验验证了该方法的有效性。结果表明，该方法得到的复合材料板拉伸弹性模量与实际值的误差小于10%，为航空航天等工业领域相关结构参数的测量提供了方便。
In this paper, a method for measuring the elastic modulus of cross-ply composite plates based on Lamb waves is presented. Cross-ply composite plates are equivalent to Single-layer orthotropic plate with 9 independent elastic constants. The sensitivity of group velocity of S0 Lamb waves to elastic constants is studied in this paper. It is found that the group velocity of S0 Lamb waves is only related to the tensile elastic modulus and the in-plane Poisson’s ratio of the orthotropic plate at the low-dispersive frequency-thickness products range. By analyzing the change ranges of equivalent engineering elastic constants for cross-ply composite plates, it is discovered that the change of in-plane Poisson’s ratio of cross-ply composite plates is small enough to ignore its effect on the group velocity of S0 Lamb waves. Therefore, the group velocity of S0 Lamb waves can be used to estimate the tensile elastic modulus of the cross-ply composite plates, and the mapping relationship between the group velocity of S0 Lamb waves and the tensile elastic modulus can be established. The method has been verified by numerical simulation and experiment and the error between the tensile modulus and the actual value of the composite plate obtained by this method isless than 10%, which provides convenience for the measurement of relevant structural parameters in aerospace and other industrial fields.
