基于功率流有限元方法的异形薄板能量密度求解
发布时间：2018-08-09 18:33
【摘要】：在机械工程中,对结构在不同频率激励下的振动响应进行分析预测具有重要的意义。功率流有限元法以其适用频率范围较广,可得到结构响应的细节信息等优点成为振动分析领域的研究热点。利用功率流有限元方法对薄板的弯曲波能量密度进行了求解,使用加权残差法导出了薄板单元节点的能量密度残差,利用线性四边形网格对薄板进行网格划分并在此基础上建立了单元的有限元方程,进一步地通过对单元有限元方程的组装和求解得到了薄板上各个节点处的能量密度响应,引入线性三角形网格以处理复杂形状薄板能量密度的求解,对使用功率流有限元方法求解任意形状薄板上的能量密度分布问题具有一定意义。
[Abstract]:In mechanical engineering, it is of great significance to analyze and predict the vibration response of structures under different frequency excitations. The power flow finite element method has become a research hotspot in the field of vibration analysis because of its wide frequency range and the advantages of obtaining the detailed information of the structural response. The energy density of bending wave of thin plate is solved by power flow finite element method, and the energy density residuals of thin plate element nodes are derived by using weighted residual method. Based on the linear quadrilateral mesh, the finite element equation of the thin plate is established, and the energy density response at each node on the thin plate is obtained by assembling and solving the finite element equation. Linear triangular meshes are introduced to solve the energy density of thin plates with complex shapes, which is of great significance for solving the energy density distribution problem of thin plates with arbitrary shape by using the power flow finite element method.
【作者单位】： 山东大学机械工程学院;山东大学高效洁净机械制造教育部重点实验室;
【基金】：国家自然科学基金(51275275;51675306) 山东省优秀中青年科学家科研奖励基金(BS2010ZZ006)
【分类号】：TH113.1
本文编号：2174943
[Abstract]:In mechanical engineering, it is of great significance to analyze and predict the vibration response of structures under different frequency excitations. The power flow finite element method has become a research hotspot in the field of vibration analysis because of its wide frequency range and the advantages of obtaining the detailed information of the structural response. The energy density of bending wave of thin plate is solved by power flow finite element method, and the energy density residuals of thin plate element nodes are derived by using weighted residual method. Based on the linear quadrilateral mesh, the finite element equation of the thin plate is established, and the energy density response at each node on the thin plate is obtained by assembling and solving the finite element equation. Linear triangular meshes are introduced to solve the energy density of thin plates with complex shapes, which is of great significance for solving the energy density distribution problem of thin plates with arbitrary shape by using the power flow finite element method.
【作者单位】： 山东大学机械工程学院;山东大学高效洁净机械制造教育部重点实验室;
【基金】：国家自然科学基金(51275275;51675306) 山东省优秀中青年科学家科研奖励基金(BS2010ZZ006)
【分类号】：TH113.1
【相似文献】
相关期刊论文 前1条
1 马廷钧;;论一维机械波的能量密度[J];北京轻工业学院学报;1988年02期
，本文编号：2174943
本文链接：https://www.wllwen.com/jixiegongchenglunwen/2174943.html
