周期性正弦凸起凹凸板等效刚度的研究

冯岩; 杜国君; 沈振兴; 王宓晓

doi:10.21656/1000-0887.390160

周期性正弦凸起凹凸板等效刚度的研究

doi: 10.21656/1000-0887.390160

燕山大学河北省重型装备与大型结构力学可靠性重点实验室, 河北秦皇岛 066004

基金项目: 国家自然科学基金(11702241)

详细信息

作者简介:
冯岩(1991—)，男，博士生(E-mail: yiyan6369@sina.com);杜国君(1961—)，男，教授，博士生导师(通讯作者. E-mail: dugj2002@ysu.edu.cn).

中图分类号: O34
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出版历程
- 收稿日期: 2018-06-13
- 修回日期: 2018-09-18
- 刊出日期: 2019-05-01

Equivalent Stiffness of Sinusoidal Periodic Dimpled Plates

Key Laboratory of Mechanics Reliability for Heavy Equipment and Large Structure of Hebei Province, Yanshan University, Qinhuangdao, Hebei 066004, P.R.China

Funds: The National Natural Science Foundation of China(11702241)

摘要

摘要: 针对构造正交各向异性周期性正弦凸起结构凹凸板的等效刚度问题，根据经典弹性薄板理论，基于对单胞结构力学特性分析和单胞结构在板宏观结构上周期性均匀化分布的特点，推导了正弦凸起凹凸板的等效刚度解析公式.以四边简支周期性正弦凸起结构凹凸板为例，将该文计算结果与有限元模拟结果进行对比，验证了该文等效刚度的合理性和精确性.最后，分析了正弦凸起凹凸板几何参数对等效刚度特性的影响，给出了结构几何参数与等效刚度之间的关系.结果表明：应用该文方法可以有效计算周期性正弦凸起凹凸板的等效刚度；由于凹凸板在构造上的几何结构变化，与基础平板相比其弯曲刚度和抗扭刚度都有明显的提升.该研究结果对凹凸板静力学和动力学的进一步研究以及实际工程应用具有指导意义.
- 周期性正弦凸起凹凸板 /
- 构造正交各向异性 /
- 单胞结构 /
- 等效刚度 /
- 有限元
Abstract: The equivalent stiffness of sinusoidal periodic dimpled plates was derived according to the classical elastic thin plate theory, in view of the analysis of the mechanical properties of the unit cell structure and the homogeneous distribution of unit cells over the plate. The sinusoidal periodic dimpled plate with 4 sides simply supported under a concentrated load was taken as an example, the analytical results were compared with those of the finite element method (FEM), and the rationality and accuracy of the analytical equivalent stiffness were verified. Finally, the effects of some structural parameters on the equivalent stiffness of the dimpled plate were analyzed. The results show that, the presented method can effectively calculate the equivalent stiffness of the sinusoidal periodic dimpled plate. The bending stiffness and torsional stiffness of the dimpled plate are obviously higher than those of the basic plate, for the geometric change of the dimpled plate. The work has important meanings for the research on statics and dynamics of dimpled plates and the engineering application.
- sinusoidal periodic dimpled plate /
- structure of orthogonal anisotropy /
- unit cell /
- equivalent stiffness /
- finite element

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