期刊文献+

集中质量矩阵替代一致质量矩阵的合理性与局限性 被引量:15

The rationality and limitation on the substitution of the concentrated mass matrix for the consistent mass matrix.
下载PDF
导出
摘要 文中分析了集中质量矩阵取代采用一致质量矩阵后对体系自振频率造成的误差,并指出集中质量矩阵应该有条件的使用。并根据相对容许误差,给出了实际计算中采用集中质量矩阵时单元尺寸的选取方法。 The error in the system self-oscillating frequency after the substitution of the concentrated mass matrix for the consistent mass matrix is analysed in this paper and the concentrated mass matrix should be ased under some conditions.At last,the unit size selection methed in the applycation of the concentrated mass matrix and its real culculation is given out accoroling to the relative allowable error.
机构地区 青海大学
出处 《青海大学学报(自然科学版)》 2010年第1期35-39,共5页 Journal of Qinghai University(Natural Science)
关键词 有限单元法 集中质量矩阵 一致质量矩阵 finite element method concentrated mass matrix consistent mass matrix
  • 相关文献

参考文献7

  • 1Chang OckLee.Multigrid Methods for the Pure Traction Problem of Lienar Elasticity Mixed Formulation[J].SIAM Journal on Numerical Analysis,1998,35(1):121-145.
  • 2Dwadia F E.Uniqueness in the Identification of a Bending Beam Modeled by Finite Elements[J].SIAM Journal on Applied Mathematics,1988,48(6):1350-1361.
  • 3Abdelkrim Ezzirani,Allal Guessab.A Fast Algorithm for Gaussian Type Quadrature Formulae with Mixed Boundary Conditions and Some Lumped Mass Spectral Approximations[J].Mathematics of Computation,1999,68(225):217-248.
  • 4Wu Shen R.Lumped mass matrix in explicit finite element method for transient dynamics of elasticity[J].Computer Methods in Applied Mechanics and Engineering,2006,195:5983-5994.
  • 5Tulay Aksu Ozkul,Eiichi Kuribayashi.Structural characteristics of Hagia Sophia:Ⅱ-A finite element formulation for dynamic analysis[J].Building and Environment,2007,42(5):2100-2106.
  • 6Hinton E,Rock T,Zienkiewica O C.A note on mass lumping and related processes in the finite element method[J].Earthquake Engrg Struct Dynamics,1976,4:245-249.
  • 7Archer Graham C,Whalen Timothy M.Development of rotationally consistent diagonal mass matrices for plate and beam elements[J].Computer Methods in Applied Mechanics and Engineering,2005,194:675-689.

同被引文献115

引证文献15

二级引证文献65

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部