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Flexural and eigen-buckling analysis of steel-concrete partially composite plates using weak form quadrature element method
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作者 XIA Jun SHEN Zhi-qiang +1 位作者 LIU Kun SUN Cheng-ming 《Journal of Central South University》 SCIE EI CAS CSCD 2019年第11期3087-3102,共16页
Flexural and eigen-buckling analyses for rectangular steel-concrete partially composite plates(PCPs)with interlayer slip under simply supported and clamped boundary conditions are conducted using the weak form quadrat... Flexural and eigen-buckling analyses for rectangular steel-concrete partially composite plates(PCPs)with interlayer slip under simply supported and clamped boundary conditions are conducted using the weak form quadrature element method(QEM).Both of the derivatives and integrals in the variational description of a problem to be solved are directly evaluated by the aid of identical numerical interpolation points in the weak form QEM.The effectiveness of the presented numerical model is validated by comparing numerical results of the weak form QEM with those from FEM or analytic solution.It can be observed that only one quadrature element is fully competent for flexural and eigen-buckling analysis of a rectangular partially composite plate with shear connection stiffness commonly used.The numerical integration order of quadrature element can be adjusted neatly to meet the convergence requirement.The quadrature element model presented here is an effective and promising tool for further analysis of steel-concrete PCPs under more general circumstances.Parametric studies on the shear connection stiffness and length-width ratio of the plate are also presented.It is shown that the flexural deflections and the critical buckling loads of PCPs are significantly affected by the shear connection stiffness when its value is within a certain range. 展开更多
关键词 weak form quadrature element method partially composite plates interlayer slip flexural analysis eigen-buckling analysis
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应变梯度双层微梁的动力学建模与振动特性研究
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作者 黄宁川 张波 +2 位作者 文鹏军 李成 张旭 《振动工程学报》 2025年第11期2836-2846,共11页
融合修正应变梯度理论与精化高阶剪切变形理论,提出了由Winkler-Pasternak弹性夹层连接的双层微梁动力学模型,并推导了其控制微分方程及边界条件。针对上下层均为两端简支的情形,利用Navier法求解了系统自由振动的解析解。为有效求解复... 融合修正应变梯度理论与精化高阶剪切变形理论,提出了由Winkler-Pasternak弹性夹层连接的双层微梁动力学模型,并推导了其控制微分方程及边界条件。针对上下层均为两端简支的情形,利用Navier法求解了系统自由振动的解析解。为有效求解复杂边值问题,发展了一种结合Gauss-Lobatto求积准则与微分求积法的3节点弱形式求积单元,该单元具备C~2连续性。在充分验证模型有效性的基础上,引入能量参与准则与模态置信准则,深入探究了材料尺度参数及弹性夹层刚度对系统振动频率与模态振型的影响规律。研究表明:剪切变形效应对高阶振型的影响显著,且随长细比的增大而减弱;边界约束较弱的层通常率先主导系统振动,随后与约束较强的层呈现交替主导特性;弹性夹层在系统呈现异步振动模态时作用显著,其刚度变化可诱发模态跃迁现象;模态置信准则能够有效表征夹层刚度与材料尺度参数对系统模态局部化及跃迁行为的影响机制。本文结果有望为微机电系统中多层微梁器件的动力学行为预测提供有效的理论支撑和数据积累。 展开更多
关键词 修正应变梯度理论 精化高阶剪切变形理论 双层微梁 弱形式求积元 模态置信准则
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