陈健云,林皋.精化8—20节点块体元的综合一致质量阵及几种质量阵构成方法的讨论[J].计算力学学报,1998,15(4):465~470 |
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精化8—20节点块体元的综合一致质量阵及几种质量阵构成方法的讨论 |
Refined 8 20 node element for vibration analysis and the discussion of several approaches for the construction of mass matrix |
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DOI:10.7511/jslx19984072 |
中文关键词: 精化元,综合一致质量阵,集中质量阵,一致质量阵 |
英文关键词:finite element,refined 8 20 node element,consistent mass matrix,lumped mass matrix,diagonal mass matrix,distributed mass matrix,combined consistent mass matrix |
基金项目:国家自然科学基金 |
陈健云 林皋 |
大连理工大学土木工程系 |
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中文摘要: |
针对精化8-20节点块体元构造了几种不同类型的质量阵,通过对几种支撑条件下的梁进行的振动特性分析,对其进行了比较研究,提出了构造精化8-20节点块体元质量阵的新途径—综合一致质量阵法。结果表明,这种综合一致质量阵方法是几种质量阵形成方法中对提高动力分析精度最为有效的方法。 |
英文摘要: |
Vibration analysis of beam with different boundary constrains is carried out to study the methods of mass matrix construction using the refined 8 20 node element, and a new method of constructing the mass matrix is proposed and the corresponding variational principle is used to prove the reasonableness of it. The results show that this approach significantly increases the accuracy of frequency obtained by the use of other mass matrix. |
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