板-梁组合构件的有限元解法及其误差估计 |
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引用本文: | 姜礼尚,沈树民,吴茂庆,秦淦,严大康. 板-梁组合构件的有限元解法及其误差估计[J]. 计算数学, 1980, 2(2): 154-171 |
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作者姓名: | 姜礼尚 沈树民 吴茂庆 秦淦 严大康 |
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作者单位: | 北京大学(姜礼尚),江苏师范学院(沈树民,吴茂庆,秦淦),江苏师范学院(严大康) |
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摘 要: | 研究板-梁组合构件的变形和内力分布,是工程上比较关注的课题。目前工程上采用的一般方法,是分别对板及梁采用有限元方法作离散化处理,然后进行适当迭加,得到关于组合构件的有限元解法.这种处理方法,不仅存在有算法问题,更重要的是可靠性问题,也就是由此得到的有限元解是否收敛到真解?正是这一点,人们并不是清楚的。本文将就这个问题,对板-梁组合构件的有限元解法作一些系统的研究。
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FINITE ELEMENT METHODS FOR SOLVING STRUCTURE COMPOSED BY PLATE-BEAM WITH THEIR ERROR ESTIMATE |
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Affiliation: | Jiang Li-shang;Chen Shu-min;Wu Mao-qing;Qin Gan;Yan Dai-kang Beijing University Jiangsu Normal Institute |
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Abstract: | In this paper, we study the convergence of finite element solution of structurecomposed by plate-beam. To begin with, we give a conforming condition for this compositestructure. According to this condition, in general the finite element methods for solving thecomposite structure are shown, in general, to be non-conforming. Based on Strang'sframework, the convergence of the finite element solutions is proved one by one and theirerror estimate is given. |
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