Extraction of the Descriptive Function of a Folding Wing With Free-Play Using the Modal Test Results to Be Used in the Nonlinear Motion Equation of the Structure

IF 1.5 4区工程技术 Q3 ENGINEERING, MECHANICAL

Experimental Techniques Pub Date : 2024-08-06 DOI:10.1007/s40799-024-00734-9

M. Ghadimi, R. Azarafza, A. Davar, J.E. Jam

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Abstract

Structures can exhibit non-linear behavior due to the presence of free-play. To analyze this behavior, different numerical and analytical methods like the substructure synthesis method or the harmonic balance method are used. To determine the effect of non-linarites caused by free-play, descriptive functions must be identified. The restoring force approach is frequently used in systems where mass and stiffness matrices are known, such as finite element models. Another approach involves frequency response functions obtained through vibration tests.

This article discusses the second approach, which involves extracting the free-play function using frequency response functions obtained from tests. The tests include a modal test with random excitation to determine the frequency response functions for the linear mode of the modes with low excitation amplitude. Additionally, sinusoidal excitation is used with increasing amplitude for the frequency response functions in the nonlinear state of the modes. The laboratory method used to determine the nonlinear modes involves increasing the amplitude of sinusoidal stimulation in the frequency range of each resonance. This article presents a practical method for analyzing the dynamic behavior of structures related to the folding wing of a flying system. Using simple techniques and vibration test results, it deals with extracting the free-play function of the structure.

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利用模态测试结果提取自由播放折叠翼的描述函数，并将其用于结构的非线性运动方程中

由于自由间隙的存在，结构会表现出非线性行为。为了分析这种行为，我们使用了不同的数值和分析方法，例如子结构合成法或谐波平衡法。要确定自由游隙引起的非线性效应，必须确定描述函数。恢复力法常用于已知质量和刚度矩阵的系统，如有限元模型。本文讨论的是第二种方法，即利用从试验中获得的频率响应函数提取自由游隙函数。测试包括随机激励的模态测试，以确定低激励振幅模态的线性模态的频率响应函数。此外，还使用振幅不断增大的正弦激励来确定非线性模态的频率响应函数。用于确定非线性模态的实验室方法包括在每个共振频率范围内增加正弦激励的振幅。本文介绍了一种分析与飞行系统折叠翼相关结构动态行为的实用方法。它利用简单的技术和振动测试结果，提取了结构的自由发挥功能。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Experimental Techniques 工程技术-材料科学：表征与测试

CiteScore

3.50

自引率

6.20%

发文量

审稿时长

5.2 months

期刊介绍： Experimental Techniques is a bimonthly interdisciplinary publication of the Society for Experimental Mechanics focusing on the development, application and tutorial of experimental mechanics techniques. The purpose for Experimental Techniques is to promote pedagogical, technical and practical advancements in experimental mechanics while supporting the Society''s mission and commitment to interdisciplinary application, research and development, education, and active promotion of experimental methods to: - Increase the knowledge of physical phenomena - Further the understanding of the behavior of materials, structures, and systems - Provide the necessary physical observations necessary to improve and assess new analytical and computational approaches.