Abstract The aim of this paper is to propose a methodology for identifying the pressure field applied on a laminated composite plate from its measured vibration response. The general framework of this study is the Corrected Force Analysis Technique (CFAT), which was previously used on isotropic plates. This method estimates the spatial derivatives of the equation of motion with a finite difference scheme and corrects the bias error generated by this approximation. The paper presents an extension of this technique to deal with laminated panels. In a first instance, the finite difference scheme has been expanded to allow the identification of the 5 spatial derivatives that compose the equation of motion of such structures. The correction, considered in the wavenumber domain, has also been adapted and is now calculated numerically. In a second instance, the effect of measurement noise has been treated with the implementation of a regularisation technique based on the adaptation of the size of the scheme as function of the frequency. Numerical simulations and contact-less measurements have been conducted on different carbon fibers composite plates. Results are presented in terms of identified pressure fields and input force magnitude.

中文翻译：

---

层压复合板修正力分析技术的发展

摘要 本文的目的是提出一种方法，用于从测量的振动响应中识别施加在层压复合板上的压力场。本研究的总体框架是校正力分析技术 (CFAT)，以前用于各向同性板。该方法使用有限差分格式估计运动方程的空间导数，并校正由该近似产生的偏差误差。本文介绍了这种技术的扩展，以处理层压板。在第一种情况下，有限差分方案已被扩展以允许识别构成此类结构运动方程的 5 个空间导数。在波数域中考虑的校正也已进行了调整，现在可以进行数值计算。在第二种情况下，测量噪声的影响已经通过基于作为频率函数的方案大小的自适应的正则化技术的实现来处理。已经对不同的碳纤维复合板进行了数值模拟和非接触式测量。结果以识别的压力场和输入力大小表示。