与裂缝腔联结的弹性板的大幅自主震动（英文）

发布时间：2018-06-16 22:38

本文选题：大幅自主震动 + 椭圆积分方法　；参考：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2017年01期

【摘要】：目的:板腔系统中的裂缝会导致共振特性发生变化。本文旨在探讨裂缝的影响,推导其中的关系与相关公式,并控制计算精确的程度。创新点:1.通过椭圆积分方法破解控制方程,推导裂缝腔联结的弹性板的共振频率;2.建立理论模型,成功计算不同情况下弹性板的共振频率。方法:1.通过理论推导,计算裂缝腔大小、震动幅度与共振频率之间的关系(公式(10)~(12));2.与其它方法得到的数据进行比较,验证所提方法的可行性和有效性(图3和4);3.通过仿真模拟,推导裂缝腔对弹性板共振频率的影响(图5a~5c)。结论:1.板腔系统中的裂缝会导致共振频率出现重大变化;2.裂缝会导致一个额外的低频率共振点。
[Abstract]:Aim: the cracks in the plate cavity system can cause the resonance characteristics to change. The purpose of this paper is to discuss the influence of fracture, to deduce the relation and related formula, and to control the accuracy of calculation. The innovation point is 1: 1. By using the elliptic integral method to solve the governing equation, the resonance frequency of the elastic plate connected by the crack cavity is deduced. A theoretical model was established to calculate the resonance frequencies of elastic plates under different conditions. Method 1: 1. Based on the theoretical derivation, the relationship between the size of the crack cavity, the amplitude of vibration and the resonance frequency is calculated. Compared with the data obtained by other methods, the feasibility and effectiveness of the proposed method are verified (Fig. 3 and 4 / 3). The influence of the crack cavity on the resonance frequency of the elastic plate is deduced by simulation. Conclusion 1. The cracks in the plate cavity system will lead to a significant change in resonance frequency. Cracks can cause an additional low frequency resonance point.
【作者单位】： Department
【基金】：Project supported by the City USRG Grant(No.7004701),China
【分类号】：O327

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