...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>International journal of structural stability and dynamics >A Meshfree Higher Order Mass Matrix Formulation for Structural Vibration Analysis
【24h】

A Meshfree Higher Order Mass Matrix Formulation for Structural Vibration Analysis

机译：一种用于结构振动分析的网外高阶质量矩阵配方

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

An accurate meshfree formulation with higher order mass matrix is proposed for the structural vibration analysis with particular reference to the 1D rod and 2D membrane problems. Unlike the finite element analysis with an explicit mass matrix, the mass matrix of Galerkin meshfree formulation usually does not have an explicit expression due to the rational nature of meshfree shape functions. In order to develop a meshfree higher order mass matrix, a frequency error measure is derived by using the entries of general symmetric stiffness and mass matrices. The frequency error is then expressed as a series expansion of the nodal distance, in which the coefficients of each term are related to the meshfree stiffness and mass matrices. It is theoretically proved that the constant coefficient in the frequency error vanishes identically provided with the linear completeness condition, which does not rely on any specific form of the shape functions. Furthermore, a meshfree higher order mass matrix is developed through a linear combination of the consistent and lumped mass matrices, in which the optimal mass combination coefficient is attained via eliminating the lower order error terms. In particular, the proposed higher order mass matrix with Galerkin meshfree formulation achieves a fourth-order accuracy when the moving least squares or reproducing kernel (RK) meshfree approximation with linear basis function is employed; nonetheless, the conventional meshfree method only gives a second-order accuracy for the frequency computation. In the multidimensional formulation, the optimal mass combination coefficient is a function of the wave propagation angle so that the proposed accurate meshfree method is applicable to the computation of frequencies associated with any wave propagation direction. The superconvergence of the proposed meshfree higher order mass matrix formulation is validated via numerical examples.
机译：提出了具有较高阶质量基质的精确网格布制剂，用于结构振动分析，特别是对1D杆和2D膜问题的结构振动分析。与具有明确质量矩阵的有限元分析不同，Galerkin网格非法制剂的质量矩阵通常不会具有显式表达，这是由于网溢形功能的合理性质。为了开发网格免费高阶质量矩阵，通过使用一般对称刚度和质量矩阵的条目来导出频率误差测量。然后将频率误差表示为节点距离的串联膨胀，其中每个术语的系数与网格普通刚度和质量矩阵有关。理论上证明了频率误差中的恒定系数消失在线性完整性条件下，其不依赖于形状函数的任何特定形式。此外，通过一致性和集成质量矩阵的线性组合显影了网状高阶质量矩阵，其中通过消除较低的误差术语来实现最佳质量组合系数。特别地，当采用线性基函数的移动最小二乘范围或再现核（RK）网格近似时，具有Galerkin网格Frometulation的提出的高阶质量矩阵实现了四阶精度。尽管如此，传统的网格纤维方法仅给出频率计算的二阶精度。在多维制剂中，最佳质量组合系数是波传播角度的函数，使得所提出的准确网格免线方法适用于与任何波传播方向相关联的频率计算。通过数值实施例验证了所提出的网状较高阶质量基质制剂的超备用度。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号