带波纹星形蜂窝混合芯材的夹层板的低速冲击响应

IF 4.4 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Applied Mathematical Modelling Pub Date : 2024-09-21 DOI:10.1016/j.apm.2024.115715
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引用次数: 0

摘要

与传统的轻质波纹芯材和蜂窝芯材相比,表现出负泊松比的新型蜂窝结构具有独特的机械变形特征,使其适用于轻质夹层结构建模。因此,我们提出了将辅助蜂窝芯与折叠波纹相结合的概念,以构建一种新型波纹星形蜂窝(SSH)混合芯材,用于研究夹芯板在受到低速冲击时的动态行为。综合赫兹弹性理论和一阶剪切变形理论(FSDT)建立等效分析模型,并通过汉密尔顿原理推导运动方程。利用弹簧-质量模型来模拟动态过程中的接触力相互作用。利用杜哈梅尔原理和纳维叶方法推导出预测横向位移的解析解。使用 Abaqus 商业软件进行了数值模拟,并通过与现有文献中的结果进行比较,确认了结果的有效性。在此基础上,通过研究不同边长比、厚度比和单元凹角的影响,提出了增强夹芯板抗低速冲击能力的有效策略。与波纹重入角六边形蜂窝混合芯材夹芯板结构相比,波纹 SSH 混合芯材夹芯板结构在相同冲击速度下可减少 33.6% 的横向位移。
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Low-velocity impact response of sandwich plates with corrugation star-shaped honeycomb hybrid core
Compared with traditional lightweight corrugation and honeycomb cores, the novel cellular structure exhibiting a negative Poisson's ratio possesses distinctive mechanical deformation features, making it suitable for modeling lightweight sandwich structures. Therefore, the concept of combining the auxetic honeycomb core with folded corrugations is proposed to construct a new type of corrugation star-shaped honeycomb (SSH) hybrid core for studying the dynamic behavior of sandwich panels subjected to low-velocity impact. Integrate Hertz elasticity theory and first-order shear deformation theory (FSDT) to develop an equivalent analytical model, and derive the equations of motion through Hamilton principle. To model contact force interactions during dynamic processes, a spring-mass model is utilized. Analytical solutions are derived for predicting transverse displacement with Duhamel's principle and Navier's method. Numerical simulations are conducted using the Abaqus commercial software, and the validity of the results is confirmed by comparing them with findings in the existing literature. Based on this, effective strategies for enhancing the sandwich panel's resistance to low-velocity impacts are proposed by examining the influence of different side length ratios, thickness ratios, and cell concave angles. In comparison to the corrugation re-entrant hexagonal honeycomb hybrid core sandwich panel structure, the corrugation SSH hybrid core sandwich panel structure reduces transverse displacement by 33.6 % at the same impact velocity.
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来源期刊
Applied Mathematical Modelling
Applied Mathematical Modelling 数学-工程:综合
CiteScore
9.80
自引率
8.00%
发文量
508
审稿时长
43 days
期刊介绍: Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged. This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering. Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.
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