固体力学与飞行器总体设计

基于ODLV定向量纲的弹性层合板冲击相似律研究

  • 王浥尘 ,
  • 徐绯 ,
  • 常新哲 ,
  • 成朝辉 ,
  • 冯威
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  • 1.西北工业大学 航空学院 计算力学与工程应用研究所,西安 710072
    2.航空工业沈阳飞机设计研究所,沈阳 110035
    3.强度与结构完整性全国重点实验室,西安 710072
.E-mail: xufei@nwpu.edu.cn

收稿日期: 2025-05-30

  修回日期: 2025-06-24

  录用日期: 2025-07-15

  网络出版日期: 2025-08-12

基金资助

国家自然科学基金(12272320)

Impact similarity law of elastic composite laminate based on ODLV oriented dimension

  • Yichen WANG ,
  • Fei XU ,
  • Xinzhe CHANG ,
  • Zhaohui CHENG ,
  • Wei FENG
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  • 1.Institute for Computational Mechanics and Its Applications,School of Aeronautics,Northwestern Polytechnical University,Xi’an 710072
    2.AVIC Shenyang Aircraft Design and Research Institute,Shenyang 110035
    3.National Key Laboratory of Strength and Structural Integrity,Xi’an 710072
E-mail: xufei@nwpu.edu.cn

Received date: 2025-05-30

  Revised date: 2025-06-24

  Accepted date: 2025-07-15

  Online published: 2025-08-12

Supported by

National Natural Science Foundation of China(12272320)

摘要

通过缩比模型试验预测大型结构在冲击载荷下的响应,具有低成本、高效率、可实现性高的优点,随着轻质、高强度复合材料的广泛应用,冲击相似理论和缩放方法的研究变得越来越重要。对于弹性冲击响应下的层合板相似缩放问题,传统相似律因几何缩放比例和层合板铺层匹配的严格限制而难以实现。基于定向量纲冲击相似律体系与弹性层合板本构方程,推导了弹性层合板的冲击相似律,得到了定向量纲描述的层合板刚度系数的相似比例关系,提出了一种通过调整缩比模型的铺层角度满足刚度协调、再通过调整冲击速度满足弹性层合板冲击响应相似的修正方法,突破了传统方法中的缩放限制,并能够处理材料畸变与宽度畸变问题。数值算例结果显示,提出的弹性层合板冲击相似的缩放方法,在厚度畸变、厚度-材料畸变、厚度-材料-宽度畸变的情况下,均能够有效预测原型结构的冲击动态响应。

本文引用格式

王浥尘 , 徐绯 , 常新哲 , 成朝辉 , 冯威 . 基于ODLV定向量纲的弹性层合板冲击相似律研究[J]. 航空学报, 2026 , 47(3) : 232341 -232341 . DOI: 10.7427/S1000-6893.2025.32341

Abstract

Using scaled model experiments to predict the response of full-scale engineering structures under impact loads has the advantages of being economical, efficient, and feasible. As lightweight, high strength composite materials are widely used in large-scale aerospace structures, the study of the impact similitude theory and scaling methods for composite materials is becoming increasingly important. For the similarity scaling problem of elastic laminate under impact response, conventional scaling methods usually fail to work effectively due to the strict requirements imposed by geometric scaling factors and laminate ply orientation matching. This article combines the ODLV directional dimension impact similarity law system with elastic laminate constitutive equation, derives the impact similarity law of elastic laminates, and obtains laminate stiffness coefficient scaling factors which are described by the directional dimension. Based on the similitude relationship, a similitude distortion modified method is proposed. This method adjusts the ply angles of scaled models to achieve stiffness compatibility and modifies the impact velocity to achieve similarity in the elastic laminated plate impact response. It overcomes the scaling constraints inherent in traditional methods and can effectively address both material distortion and width distortion problems. Simulation results show that the scaled models have good similarity with the prototype structure in displacement, impact force, and impact energy response, which suggests that the designed scaled model under the instruction of the laminate impact similarity scaling method proposed in this article can effectively predict the impact dynamic response of the prototype structure.

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