Performance of a Time Integration Acceleration Technique Applied to Seismic Analysis of Non-classically Damped Structural Dynamics

2021 ◽  
Author(s):  
A. Soroushian
Keyword(s):  
Structural Dynamics ◽  
Seismic Analysis ◽  
Time Integration ◽  
Acceleration Technique

scholarly journals Modeling Structural Dynamics Using FE-Meshfree QUAD4 Element with Radial-Polynomial Basis Functions

Materials ◽  
2021 ◽  
Vol 14 (9) ◽  
pp. 2288
Author(s):  
Hongming Luo ◽  
Guanhua Sun
Keyword(s):  
Structural Dynamics ◽  
Interpolation Method ◽  
Mass Matrix ◽  
Time Integration ◽  
Partition Of Unity ◽  
Implicit Time ◽  
Lumped Mass ◽  
Point Interpolation Method ◽  
Point Interpolation ◽  
Consistent Mass Matrix

The PU (partition-of-unity) based FE-RPIM QUAD4 (4-node quadrilateral) element was proposed for statics problems. In this element, hybrid shape functions are constructed through multiplying QUAD4 shape function with radial point interpolation method (RPIM). In the present work, the FE-RPIM QUAD4 element is further applied for structural dynamics. Numerical examples regarding to free and forced vibration analyses are presented. The numerical results show that: (1) If CMM (consistent mass matrix) is employed, the FE-RPIM QUAD4 element has better performance than QUAD4 element under both regular and distorted meshes; (2) The DLMM (diagonally lumped mass matrix) can supersede the CMM in the context of the FE-RPIM QUAD4 element even for the scheme of implicit time integration.

Computational Aspects of Time Integration Procedures in Structural Dynamics—Part 2: Error Propagation

1978 ◽  
Vol 45 (3) ◽  
pp. 603-611 ◽  
Author(s):  
K. C. Park ◽  
C. A. Felippa
Keyword(s):  
Structural Dynamics ◽  
Error Propagation ◽  
Error Control ◽  
Time Integration ◽  
Trapezoidal Rule ◽  
Computational Error ◽  
Asymptotic Error ◽  
Average Acceleration ◽  
Computational Aspects ◽  
Acceleration Method

The propagation of computational error in the direct time integration of the equations of structural dynamics is investigated. Asymptotic error propagation equations corresponding to the computational paths presented in Part 1 are derived and verified by means of numerical experiments. It is shown that there exists an implementation form that achieves optimum error control when used in conjunction with one-derivative methods. No such form is found for two-derivative methods. A numerical beating phenomenon is observed for certain implementations of the average acceleration method and the trapezoidal rule, which from an error propagation standpoint, is highly undesirable.

Comparison Between Numerical Simulation and Experimentation of Asymmetrical Three-Roll Bending Process

2010 ◽  
Author(s):  
Zhengkun Feng ◽  
Henri Champliaud
Keyword(s):  
Structural Dynamics ◽  
Metal Forming ◽  
Plastic Material ◽  
Time Integration ◽  
Material Model ◽  
Rigid Bodies ◽  
The Finite Element Method ◽  
Shell Elements ◽  
Roll Bending ◽  
Bending Process

Three-roll bending processes are widely used in metal forming manufacturing due to simple configurations. Asymmetrical three-roll bending is one of the processes. This paper deals with the simulation analyses based on the finite element method for cylindrical production. The components of the roll bending machine, such as the rolls were assumed to be rigid bodies and the 4-node shell elements were used in the modeling. The tensile test of the material was simulated to determine the elasto-plastic material model of the plate. Automatic node-surface contacts were chosen for the interfaces between the plate and the rigid bodies. The nonlinear equations which represent the structural dynamics with large displacement were resolved using explicit time integration. The simulations were performed under the well-known ANSYS/LS-DYNA environment. The numerical results agree well with the experimental ones.

Sign in / Sign up

Export Citation Format

Share Document