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钟万勰,姚伟岸.板弯曲与平面弹性有限元的同一性[J].计算力学学报,1998,15(1):1~13
板弯曲与平面弹性有限元的同一性
Similarity between finite elements in plane elasticity and plate bending
  
DOI:10.7511/jslx19981002
中文关键词:  有限元 板弯曲 弯矩函数向量 相似性
英文关键词:finite element, plate bending, bending moment function vector, similarity
基金项目:国家自然科学基金
钟万勰  姚伟岸
大连理工大学工程力学研究所
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中文摘要:
      本文建立平面弹性与板弯曲的相似理论,并用于将平面弹性的单元移植到板弯曲元,从而其分片试验,收敛性等性质也同时移植到板弯曲元,使两者处于同一水平上,同时又将此基于力法的板弯曲元入位移法的轨道,找出共相应的位移系统,并证明其适定性,从而为将此类单元装入位移法通用程序系统创造了条件。
英文摘要:
      he similarity theory between plane elasticity and plate bending is established and applied to the use of finite elements of plane elasticity in plate bending. Therefore the theories such as patch test and FE convergence etc. can be moved to plate bending, thus both sides will be on the same theoretical level. Afterwards these complementary energy method based plate bending elements are derived into the track of displacement method, the composition of the displacement vector is found and its consistency is proved, which enables installing these elements into the general finite element program system.
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