十次对称二维准晶矩形板面内非线性分布载荷下的弹性力学问题  

Elastic Problems in a Decagonal Quasicrystal Rectangular Plate Under Nonlinear Distributed Loads

作　　者：张静 李联和[1,2] ZHANG Jing;LI Lian-he(College of Mathematics Science,Inner Mongolia Normal University,Hohhot 010022,China;Inner Mongolia Center of Applied Mathematics,Hohhot 010022,China)

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022 [2]内蒙古自治区应用数学中心,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学版）》2022年第6期551-558,共8页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11962026);内蒙古自治区自然科学基金资助项目(2020MS01018);内蒙古自治区研究生教育创新计划资助项目(S20210267Z)。

摘　　要：采用微分求积法研究余弦分布载荷作用下十次对称二维准晶板的弹性力学问题。首先发展了十次对称二维准晶板的微分求积法,在此基础上结合边界条件,获得十次对称二维准晶板的位移和应力,并讨论材料尺寸参数的影响,为十次对称二维准晶板的应用提供了理论参考。The elastic problem in a decagonal quasicrystal rectangular plate under cosine distributed loads is studied by the differential quadrature method in the paper.By developing the differential quadrature method of the decagonal quasicrystal rectangular plate,the displacement and stress of the decagonal quasicrystal rectangular plate are obtained combining with the boundary conditions.Then,the influence of the material size parameters is discussed.The results provide theoretical reference for the application of decagonal quasicrystal rectangular plate.

关 键 词：十次对称二维准晶 微分求积法 余弦分布载荷 

分 类 号：O343.1[理学—固体力学]