{"title":"基于分析的飞机机翼在雷电压力载荷下的雷电损伤模型","authors":"Aysun Soysal, Ibrahim Ozkol, Erol Uzal","doi":"10.1155/2024/8313135","DOIUrl":null,"url":null,"abstract":"Lightning is one of the natural hazards that any aircraft may encounter while navigating. If adequate precautions are not taken against lightning, structural damage, operational disruptions, and loss of life and property can occur. Thus, studying the mechanism of damage caused by lightning strikes in an aircraft’s structural material is necessary to optimize the structure, minimize the damage, and reduce the cost caused by lightning. In the present article, the lightning-induced damage behavior of an aircraft structural material was investigated from an analytical perspective. For this purpose, two analytical-based models were developed: an improved electromagnetic pressure impact model (IEPIM) and the damage model in an aircraft wing. For the IEPIM, the findings of the article showed that the proposed pressure model is in good agreement with the experimental studies, borrowed from the open literature, for 100 and 200 kA lightning current. For the damage model, the findings of the article indicated that (i) even though lightning strikes to the regions with the same characteristics on an aircraft wing in terms of the lightning strike zone, the amount of deflection in the wing increases as the impact point approaches the wing tip and decreases as it approaches the wing root, (ii) without changing the lightning strike point (<span><svg height=\"9.25202pt\" style=\"vertical-align:-3.29111pt\" version=\"1.1\" viewbox=\"-0.0498162 -5.96091 12.2751 9.25202\" width=\"12.2751pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,7.202,3.132)\"></path></g></svg>),</span> when the damping coefficient (<span><svg height=\"12.2089pt\" style=\"vertical-align:-2.503pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.7059 5.94546 12.2089\" width=\"5.94546pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g></svg>)</span> is increased in the range of <span><svg height=\"12.2089pt\" style=\"vertical-align:-2.503pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.7059 13.689 12.2089\" width=\"13.689pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,4.485,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,10.725,0)\"></path></g></svg><span></span><span><svg height=\"12.2089pt\" style=\"vertical-align:-2.503pt\" version=\"1.1\" viewbox=\"15.8181838 -9.7059 16.762 12.2089\" width=\"16.762pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,15.868,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,22.108,0)\"><use xlink:href=\"#g113-236\"></use></g><g transform=\"matrix(.013,0,0,-0.013,27.933,0)\"></path></g></svg>,</span></span> the amount of deflection decreases as the amount of damping coefficient increases, and (iii) when lightning with a current of 100 kA hits to the wing root of an aircraft, the pressure impact of the lightning causes more torsion deflection than bending deflection at the wing root; however, when it hits to the mid-wing or wing tip of an aircraft, the pressure impact of the lightning causes more bending deflection than torsion deflection at the mid-wing or wing tip.","PeriodicalId":18319,"journal":{"name":"Mathematical Problems in Engineering","volume":"54 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An Analytical-Based Lightning-Induced Damage Model for an Aircraft Wing Exposed to Pressure Loading of Lightning\",\"authors\":\"Aysun Soysal, Ibrahim Ozkol, Erol Uzal\",\"doi\":\"10.1155/2024/8313135\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Lightning is one of the natural hazards that any aircraft may encounter while navigating. If adequate precautions are not taken against lightning, structural damage, operational disruptions, and loss of life and property can occur. Thus, studying the mechanism of damage caused by lightning strikes in an aircraft’s structural material is necessary to optimize the structure, minimize the damage, and reduce the cost caused by lightning. In the present article, the lightning-induced damage behavior of an aircraft structural material was investigated from an analytical perspective. For this purpose, two analytical-based models were developed: an improved electromagnetic pressure impact model (IEPIM) and the damage model in an aircraft wing. For the IEPIM, the findings of the article showed that the proposed pressure model is in good agreement with the experimental studies, borrowed from the open literature, for 100 and 200 kA lightning current. For the damage model, the findings of the article indicated that (i) even though lightning strikes to the regions with the same characteristics on an aircraft wing in terms of the lightning strike zone, the amount of deflection in the wing increases as the impact point approaches the wing tip and decreases as it approaches the wing root, (ii) without changing the lightning strike point (<span><svg height=\\\"9.25202pt\\\" style=\\\"vertical-align:-3.29111pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -5.96091 12.2751 9.25202\\\" width=\\\"12.2751pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"></path></g><g transform=\\\"matrix(.0091,0,0,-0.0091,7.202,3.132)\\\"></path></g></svg>),</span> when the damping coefficient (<span><svg height=\\\"12.2089pt\\\" style=\\\"vertical-align:-2.503pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.7059 5.94546 12.2089\\\" width=\\\"5.94546pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"></path></g></svg>)</span> is increased in the range of <span><svg height=\\\"12.2089pt\\\" style=\\\"vertical-align:-2.503pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.7059 13.689 12.2089\\\" width=\\\"13.689pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,4.485,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,10.725,0)\\\"></path></g></svg><span></span><span><svg height=\\\"12.2089pt\\\" style=\\\"vertical-align:-2.503pt\\\" version=\\\"1.1\\\" viewbox=\\\"15.8181838 -9.7059 16.762 12.2089\\\" width=\\\"16.762pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,15.868,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,22.108,0)\\\"><use xlink:href=\\\"#g113-236\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,27.933,0)\\\"></path></g></svg>,</span></span> the amount of deflection decreases as the amount of damping coefficient increases, and (iii) when lightning with a current of 100 kA hits to the wing root of an aircraft, the pressure impact of the lightning causes more torsion deflection than bending deflection at the wing root; however, when it hits to the mid-wing or wing tip of an aircraft, the pressure impact of the lightning causes more bending deflection than torsion deflection at the mid-wing or wing tip.\",\"PeriodicalId\":18319,\"journal\":{\"name\":\"Mathematical Problems in Engineering\",\"volume\":\"54 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-01-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Problems in Engineering\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1155/2024/8313135\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Problems in Engineering","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1155/2024/8313135","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
摘要
雷电是任何飞机在航行时都可能遇到的自然灾害之一。如果不采取足够的预防措施来应对雷击,就会造成结构损坏、运行中断以及生命和财产损失。因此,有必要研究雷击对飞机结构材料造成破坏的机理,以优化结构,最大限度地减少雷击造成的损失,降低成本。本文从分析角度研究了飞机结构材料的雷击诱发损伤行为。为此,我们开发了两个基于分析的模型:改进的电磁压力冲击模型(IEPIM)和飞机机翼损坏模型。对于 IEPIM,文章的研究结果表明,所提出的压力模型与公开文献中关于 100 和 200 kA 雷电电流的实验研究结果非常吻合。对于损坏模型,文章的研究结果表明:(i) 即使雷电击中的区域与飞机机翼上的雷击区特征相同,机翼的挠曲量也会随着雷击点接近翼尖而增加,随着雷击点接近翼根而减少;(ii) 在不改变雷击点()的情况下,当阻尼系数()为 0 时,机翼的挠曲量为 0;当阻尼系数()为 0 时,机翼的挠曲量为 0、(iii) 当电流为 100 kA 的闪电击中飞机翼根时,闪电的压力冲击在翼根造成的扭转挠度大于弯曲挠度;然而,当闪电击中飞机的中翼或翼尖时,闪电的压力冲击在中翼或翼尖造成的弯曲挠度大于扭转挠度。
An Analytical-Based Lightning-Induced Damage Model for an Aircraft Wing Exposed to Pressure Loading of Lightning
Lightning is one of the natural hazards that any aircraft may encounter while navigating. If adequate precautions are not taken against lightning, structural damage, operational disruptions, and loss of life and property can occur. Thus, studying the mechanism of damage caused by lightning strikes in an aircraft’s structural material is necessary to optimize the structure, minimize the damage, and reduce the cost caused by lightning. In the present article, the lightning-induced damage behavior of an aircraft structural material was investigated from an analytical perspective. For this purpose, two analytical-based models were developed: an improved electromagnetic pressure impact model (IEPIM) and the damage model in an aircraft wing. For the IEPIM, the findings of the article showed that the proposed pressure model is in good agreement with the experimental studies, borrowed from the open literature, for 100 and 200 kA lightning current. For the damage model, the findings of the article indicated that (i) even though lightning strikes to the regions with the same characteristics on an aircraft wing in terms of the lightning strike zone, the amount of deflection in the wing increases as the impact point approaches the wing tip and decreases as it approaches the wing root, (ii) without changing the lightning strike point (), when the damping coefficient () is increased in the range of , the amount of deflection decreases as the amount of damping coefficient increases, and (iii) when lightning with a current of 100 kA hits to the wing root of an aircraft, the pressure impact of the lightning causes more torsion deflection than bending deflection at the wing root; however, when it hits to the mid-wing or wing tip of an aircraft, the pressure impact of the lightning causes more bending deflection than torsion deflection at the mid-wing or wing tip.
期刊介绍:
Mathematical Problems in Engineering is a broad-based journal which publishes articles of interest in all engineering disciplines. Mathematical Problems in Engineering publishes results of rigorous engineering research carried out using mathematical tools. Contributions containing formulations or results related to applications are also encouraged. The primary aim of Mathematical Problems in Engineering is rapid publication and dissemination of important mathematical work which has relevance to engineering. All areas of engineering are within the scope of the journal. In particular, aerospace engineering, bioengineering, chemical engineering, computer engineering, electrical engineering, industrial engineering and manufacturing systems, and mechanical engineering are of interest. Mathematical work of interest includes, but is not limited to, ordinary and partial differential equations, stochastic processes, calculus of variations, and nonlinear analysis.