Abstract The shape function-based methods are promising in dynamic force identification. However, the selection of shape function is still an issue as it determines the identification accuracy and efficiency to a large extent. This paper proposes a dynamic force identification approach by using the composite trigonometric wavelet as shape function which takes advantage of its 'wave' property in dynamic force expression. The whole domain of the dynamic force time history is segmented into different time units following the thought of finite element discretization and the local force is approximated by linear shape functions. Subsequently the force-response equation is established by assembling the calculated responses induced by shape function forces and the corresponding measured responses of all time units. Then trigonometric wavelet shape function is added to enhance the approximation capability of shape function and improve the identification accuracy progressively. Examples are employed to illustrate the effectiveness and superiority of the proposed method.

中文翻译：

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基于复合三角小波形状函数的动力识别

摘要 基于形状函数的方法在动力识别方面具有广阔的应用前景。然而，形状函数的选择仍然是一个问题，因为它在很大程度上决定了识别的准确性和效率。本文提出了一种利用复合三角小波作为形状函数的动态力识别方法，利用其在动态力表达中的“波浪”特性。按照有限元离散化的思想将动力时程的整个域分割成不同的时间单位，局部力用线性形状函数近似。随后，通过组装由形状函数力引起的计算响应和所有时间单位的相应测量响应，建立力响应方程。然后加入三角小波形状函数，以增强形状函数的逼近能力，逐步提高识别精度。实例被用来说明所提出方法的有效性和优越性。