Space-Time hp-Version Finite Elements Applied to Wave Propagation With Moving Loads

1995 ◽  
Author(s):  
Bo Zhao ◽  
David A. Peters
Keyword(s):  
Finite Element Method ◽  
Wave Propagation ◽  
Structural Dynamics ◽  
Moving Load ◽  
Space Time ◽  
Moving Loads ◽  
Promising Alternative ◽  
Analysis Technique ◽  
Triangular Elements ◽  
Variational Statement

Abstract The space-time finite element method has emerged as a promising alternative numerical analysis technique for structural dynamics. This paper concentrates on hp-version triangular elements based on a variational statement of elasto-dynamics formed on Hamilton’s law of varying action. As such, forces and momenta are weak; and element boundaries may cut across space and time. This forms a natural framework for problems with both moving load and wave propagation. This paper presents applications of the method to such problems with numerical results and conclusions regarding proper mesh geometry.

Analysis of Elastic Beam Subjected to Moving Dynamic Loads

2011 ◽  
Vol 250-253 ◽  
pp. 1187-1191 ◽  
Author(s):  
Ren Zuo Wang ◽  
Shi Kai Chen ◽  
Chung Yue Wang ◽  
Bin Chin Lin
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Large Deformation ◽  
Moving Load ◽  
Elastic Beam ◽  
Dynamic Loads ◽  
Frame Structures ◽  
Moving Loads ◽  
Vector Form ◽  
Rigid Frame

The main object of this paper is to apply the vector form intrinsic finite element (VFIFE, or V-5) techniques in nonlinear large deformation dynamic analysis for the responses of moving loads on rigid frame structures. In this study, the simulation of moving loading is brought into the vector form intrinsic finite element method. It can effectively simulate the moving load. Comparing the results of the numerical simulations by VFIFE with the results obtained from other literatures, they are very close. It proved that VFIFE can effectively simulate the nonlinear large deformation dynamic problem.

scholarly journals Finite element modelling of moving loads on structures

2021 ◽  
Author(s):  
Gareth Forbes
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Moving Load ◽  
Equations Of Motion ◽  
Moving Loads ◽  
The Finite Element Method ◽  
Structure Development ◽  
Simply Supported ◽  
Ansys Apdl ◽  
Element Method

This paper provides a breif description of the moving load problem (force or mass) across a structure. Development of a matlab script to solve the analytical equations of motion is provided. The method of implementation to solve this type of structural dynamics, using the Finite Element Method is then described with a matlab script for a simply supported beam provided. Additionally, a script and method for implementing the Finite Element Method using ANSYS APDL is also given.

Post-buckling inelastic analysis of thin-walled metal members using the Generalised Beam Theory

2019 ◽  
Author(s):  
Miguel Abambres ◽  
Dinar Camotim ◽  
Miguel Abambres
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Beam Theory ◽  
Flow Theory ◽  
Promising Alternative ◽  
Inelastic Analysis ◽  
Post Buckling ◽  
Thin Walled ◽  
Shell Finite Element ◽  
Generalised Beam Theory

A 2nd order inelastic Generalised Beam Theory (GBT) formulation based on the J2 flow theory is proposed, being a promising alternative to the shell finite element method. Its application is illustrated for an I-section beam and a lipped-C column. GBT results were validated against ABAQUS, namely concerning equilibrium paths, deformed configurations, and displacement profiles. It was concluded that the GBT modal nature allows (i) precise results with only 22% of the number of dof required in ABAQUS, as well as (ii) the understanding (by means of modal participation diagrams) of the behavioral mechanics in any elastoplastic stage of member deformation .

Parallel finite-element method using domain decomposition and Parareal for transient motor starting analysis

2019 ◽  
Vol 38 (5) ◽  
pp. 1507-1520 ◽  
Author(s):  
Yasuhito Takahashi ◽  
Koji Fujiwara ◽  
Takeshi Iwashita ◽  
Hiroshi Nakashima
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Parallel Computing ◽  
Domain Decomposition ◽  
Parallel Computation ◽  
Domain Decomposition Method ◽  
Space Time ◽  
Content Type ◽  
Parallel Performance ◽  
Element Method

Purpose This paper aims to propose a parallel-in-space-time finite-element method (FEM) for transient motor starting analyses. Although the domain decomposition method (DDM) is suitable for solving large-scale problems and the parallel-in-time (PinT) integration method such as Parareal and time domain parallel FEM (TDPFEM) is effective for problems with a large number of time steps, their parallel performances get saturated as the number of processes increases. To overcome the difficulty, the hybrid approach in which both the DDM and PinT integration methods are used is investigated in a highly parallel computing environment. Design/methodology/approach First, the parallel performances of the DDM, Parareal and TDPFEM were compared because the scalability of these methods in highly parallel computation has not been deeply discussed. Then, the combination of the DDM and Parareal was investigated as a parallel-in-space-time FEM. The effectiveness of the developed method was demonstrated in transient starting analyses of induction motors. Findings The combination of Parareal with the DDM can improve the parallel performance in the case where the parallel performance of the DDM, TDPFEM or Parareal is saturated in highly parallel computation. In the case where the number of unknowns is large and the number of available processes is limited, the use of DDM is the most effective from the standpoint of computational cost. Originality/value This paper newly develops the parallel-in-space-time FEM and demonstrates its effectiveness in nonlinear magnetoquasistatic field analyses of electric machines. This finding is significantly important because a new direction of parallel computing techniques and great potential for its further development are clarified.

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