【作者】 邢誉峰； 杨阳；

【Author】 XING Yu-feng YANG Yang (The Solid Mechanics Research Centre Beijing University of Aeronautics and Astronautics Beijing,100083,China)

【机构】 北京航空航天大学固体力学研究所；

【摘要】 基于势能原理,提出了一种新的允许单元内部存在材料和几何性质不连续的特征单元。与已有特征单元方法、均匀化方法和一般有限元方法进行了数值比较和分析,位移、应力和频率结果皆说明了本文新构造的杆特征单元在精度和效率方面的优越性。为编织复合材料等周期性结构的宏细观力学行为分析方法的构造提供了一种新思路。更多还原

【Abstract】 In order to calculate microscopic properties such stresses more precisely, a new rod eigenelement is proposed based on the variational principle and structural matrix eigenvector expansions,then the discontinuities of materials and geometries are allowed within the eigenelement or the unit cell.The displacements,stresses and inherent frequencies are computed by using the eigenelement method,ordinary finite element method,the classic eigenelement method and conventional homogenization method respectively,and their results are compared to evaluate the accuracy and efficiency of the new proposed rod eigenelement.It is can be concluded from the comparisons that the new eigenelement method is more precise than the classic eigenelement method and conventional homogenization method with the same number of elements.The larger the difference of parameters for each subelement in the eigenelement is,the larger the advantages of the eigenelement.更多还原