Occurrence phase of peak responses to symmetric pulse loads

IF 5.1 2区 工程技术 Q1 ENGINEERING, MECHANICAL
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引用次数: 0

Abstract

This study fills a challenging gap in the field of structural dynamics. A potential rule is theoretically proved: The peak displacements of undamped single-degree-of-freedom (SDOF) systems subjected to nonnegative but symmetric pulse loads necessarily occur within the pulse loading duration if the frequency ratio β<1, and after the pulse loading duration if the frequency ratio β>1. As a special case, the first peak displacements accurately take place at the end of the pulse loading when β=1. Also, the occurrence time of the first peak displacements has a theoretic value of tϕ=tp/2+T/4 in the case of β>1. Although this potential rule can be easily verified in certain cases, it has not been theoretically and systematically proved so far. A rigorous and complete proof is presented and featured by the proposed analysis based on Duhamel's integral. The analyzation circumvents the difficulties in analytically solving dynamic responses to different pulse loads in different shapes, but still reaches theoretical conclusions and yields a general law of structural dynamics. The proved law can be used to predict the occurrence phase of the first peak displacements when undamped SDOF systems subjected to nonnegative but symmetric pulse loads.

对称脉冲负载峰值响应的出现阶段
这项研究填补了结构动力学领域的一项空白。从理论上证明了一个潜在规则:在非负但对称的脉冲载荷作用下,如果频率比β<1,无阻尼单自由度(SDOF)系统的位移峰值必然发生在脉冲载荷持续时间内;如果频率比β>1,位移峰值必然发生在脉冲载荷持续时间之后。 作为特例,当β=1 时,第一个位移峰值准确地发生在脉冲载荷结束时。此外,在 β>1 的情况下,第一个位移峰值的出现时间的理论值为 tj=tp/2+T/4。 虽然这一潜在规则在某些情况下很容易得到验证,但迄今为止尚未得到理论上的系统证明。基于杜哈梅尔积分的分析方法提出了一个严格而完整的证明。该分析规避了分析解决不同形状的不同脉冲载荷动态响应的困难,但仍然得出了理论结论,并产生了结构动力学的一般规律。当无阻尼 SDOF 系统受到非负但对称的脉冲载荷作用时,所证明的定律可用于预测首峰位移的发生相位。
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来源期刊
International Journal of Impact Engineering
International Journal of Impact Engineering 工程技术-工程:机械
CiteScore
8.70
自引率
13.70%
发文量
241
审稿时长
52 days
期刊介绍: The International Journal of Impact Engineering, established in 1983 publishes original research findings related to the response of structures, components and materials subjected to impact, blast and high-rate loading. Areas relevant to the journal encompass the following general topics and those associated with them: -Behaviour and failure of structures and materials under impact and blast loading -Systems for protection and absorption of impact and blast loading -Terminal ballistics -Dynamic behaviour and failure of materials including plasticity and fracture -Stress waves -Structural crashworthiness -High-rate mechanical and forming processes -Impact, blast and high-rate loading/measurement techniques and their applications
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