一种多层组合梁自由振动分析的混合有限元法
DOI:
CSTR:
作者:
作者单位:

作者简介:

通讯作者:

中图分类号:

O327

基金项目:

浙江省尖兵领雁研发攻关计划项目(2022C01143);国家自然科学基金资助项目(12072097)


A mixed finite element method for free vibration analysis of multilayer composite beams
Author:
Affiliation:

Fund Project:

  • 摘要
  • |
  • 图/表
  • |
  • 访问统计
  • |
  • 参考文献
  • |
  • 相似文献
  • |
  • 引证文献
  • |
  • 资源附件
  • |
  • 文章评论
    摘要:

    基于截面等效,提出了多层组合梁的二维分析模型。使用混合能变分原理,以包含频率函数的节点位移及其 能量对偶的应力分量为单元节点未知量,引入混合元对梁长方向进行离散,建立动力学状态空间控制方程;接着引 入微分求积法(Differential Quadrature Method, DQM)对控制方程进行梁高度方向的离散,求得组合梁在不同轴力 与边界条件下的动力学方程。以混凝土?木材组合梁、波形钢腹板梁和钢?混组合梁为例进行验证。该方法基于二 维理论,可为梁理论提供假设依据和误差分析的基准。

    Abstract:

    In this paper, a two-dimensional analytical model for composite beams is first proposed through the equivalent transfor? mation of the cross-section. Based on the mixed variational principle, the dynamic state equations are derived through finite element meshing and interpolation along the length of the beam, with frequency contained nodal displacements and their energy-conjugated stresses as element nodal variables. The differential quadrature method (DQM) is introduced to discretize the equations along the height of the beam, and natural frequencies of composite beams under different axial forces and boundary conditions are obtained. This method was verified by numerical examples about natural frequencies of three beams, i.e. a concrete-wood composite beam, a concrete beam with a corrugated steel web and steel-concrete composite beam. Since the proposed method is based on the two-di? mensional theory, it can provide benchmarks for beam theories and error analyses.

    参考文献
    相似文献
    引证文献
引用本文

蒋佳卿,王 云,陈伟球,徐荣桥.一种多层组合梁自由振动分析的混合有限元法[J].振动工程学报,2024,37(5):856~863.[JIANG Jia-qing, WANG Yun, CHEN Wei-qiu, XU Rong-qiao. A mixed finite element method for free vibration analysis of multilayer composite beams[J]. Journal of Vibration Engineering,2024,37(5):856~863.]

复制
分享
文章指标
  • 点击次数:
  • 下载次数:
  • HTML阅读次数:
  • 引用次数:
历史
  • 收稿日期:
  • 最后修改日期:
  • 录用日期:
  • 在线发布日期: 2024-06-06
  • 出版日期:
文章二维码
您是第位访问者
振动工程学报 ® 2024 版权所有
技术支持:北京勤云科技发展有限公司