Convergence Studies of Dynamic Analysis by Using the Finite Element Method With Lumped Mass Matrix

@inproceedings{Chan1993ConvergenceSO,
  title={Convergence Studies of Dynamic Analysis by Using the Finite Element Method With Lumped Mass Matrix},
  author={Hon Chuen Chan and Chengwu Cai and Yau K. Cheung},
  year={1993}
}
Abstract The convergence rates of the natural frequencies and the dynamic response of plates obtained when using the 12-degree-of-freedom, non-conforming rectangular plate element with the lumped mass formulation are studied for particular problems. Finite element solutions for a square plate with all edges simply supported are derived in explicit form by using the double U-transformation method. It has been found that the convergence rate of the natural frequencies for the lumped mass… CONTINUE READING