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基于梁理论的复杂梁式结构低阶频率快速求解方法
  • ISSN号：1000-4750
  • 期刊名称：《工程力学》
  • 时间：0
  • 分类：TU311[建筑科学—结构工程]
  • 作者机构：[1]大连理工大学工程力学系,工业装备结构分析国家重点实验室, [2]河南科技大学规划与建筑工程学院力学系
  • 相关基金：国家自然科学基金项目(91216201,11402077)
作者： 李取浩[1], 王文胜[2], 程耿东[1]
关键词： 梁式结构, 平截面假设, 位移插值函数, 降阶模型, KRYLOV子空间
中文摘要：

工程计算中常遇到纵向尺度显著大于横向的复杂梁式结构,基于此类大型复杂结构的精细有限元模型建立一个能够预测结构动力性能、实现复杂结构的快速动力分析和优化的近似降阶模型,成为这类结构设计工作者一直关心的问题。该文提出一种基于梁平截面假设和梁位移插值函数的动力模型降阶方法,建立了具有明确物理意义的降阶模型。利用降阶模型计算得到的模态向量是原结构特征向量的高精度近似,基于一次瑞利-里茨逆迭代获得了原结构高精度的低阶频率,并且与Krylov子空间法进行了对比。具体算例表明了降阶方法的有效性。

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期刊信息
  • 《工程力学》
  • 中国科技核心期刊
  • 主管单位:中国科学技术协会
  • 主办单位:中国力学学会
  • 主编：袁驷
  • 地址：北京清华大学新水利馆114号
  • 邮编：100084
  • 邮箱：gclxbjb@tsinghuae.du.cn
  • 电话：010-62788648
  • 国际标准刊号：ISSN：1000-4750
  • 国内统一刊号：ISSN：11-2595/O3
  • 邮发代号:82-862
  • 获奖情况:
  • 1999年获在物理、力学类刊物中影响因子位居第二（0...
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  • 被引量:32789