复合材料正弦型波纹板的等效刚度

doi:10.19936/j.cnki.2096-8000.20241128.004

摘要/Abstract

摘要： 基于复合材料均质化理论,把碳纤维/树脂基复合材料(CFRP)正弦型波纹板等效成正交各向异性板,根据应变能守恒原理,建立等效的正交各向异性板刚度矩阵中各个刚度分量的计算方法。利用有限元方法,建立复合材料正弦型波纹板的代表单元模型,根据复合材料层压板本构方程,通过构造六种边界条件,对刚度分量的理论计算方法进行了验证。验证结果表明,理论计算结果与有限元模拟结果具有较好的一致性。利用验证的刚度计算方法研究了控制正弦型波纹板形状的两个主要几何参数(半高和半波长)对波纹板刚度的影响,并将某一波纹板的等效刚度与其构成的层压板刚度进行了对比研究,结果表明:半高和半波长对波纹板刚度分量的影响均呈非线性;相对于层压板,波纹板在波纹方向的拉伸刚度大幅降低,在垂直波纹方向的弯曲刚度大幅升高。

关键词: 波纹板, 等效刚度, 复合材料, 均质化, 有限元

Abstract: Based on the homogenization theory of composites, carbon fiber reinforced polymer(CFRP) sinusoidal corrugated panels were equivalent to orthogonal anisotropic plate. According to the principle of strain energy conservation, a method for each stiffness component in the equivalent orthogonal anisotropic plate stiffness matrix was established. Using the finite element method, a representative element model of composite sinusoidal corrugated panels was established. Based on the constitutive equation of laminates, six boundary conditions were constructed to verify the theoretical method of stiffness components. The verification shows that the theoretical results have good consistency with the finite element simulation results. The influence of amplitude and wavelength, two geometric parameters controlling the shape of sinusoidal corrugated panels, on the stiffness of the corrugated panels was studied using a validated stiffness method. The equivalent stiffness of a corrugated panel was compared with the stiffness of its laminated plate. The research results show that the influence of amplitude and wavelength on the stiffness component of corrugated panels is nonlinear; compared to laminated plates, the tensile stiffness of corrugated direction is significantly reduced, while the bending stiffness in the vertical corrugated direction is significantly increased.

Key words: corrugated panel, equivalent stiffness, composites, homogenization, finite element analysis

中图分类号:

TB332

汪厚冰, 屈天骄, 成李南, 魏景超, 李新祥, 朱强. 复合材料正弦型波纹板的等效刚度[J]. 复合材料科学与工程, 2024, 0(11): 34-42.

WANG Houbing, QU Tianjiao, CHENG Linan, WEI Jingchao, LI Xinxiang, ZHU Qiang. Equivalent stiffness of composite sinusoidal corrugated panels[J]. COMPOSITES SCIENCE AND ENGINEERING, 2024, 0(11): 34-42.

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