Óbuda University
John von Neumann Faculty of Informatics
Institute of Applied Mathematics
Course
Introduction to virtual engineering
Lecture and laboratory 6.
Finite element mesh and load
definition
László Horváth
university professor
http://users.nik.uni-obuda.hu/lhorvath/
Contents
Lecture
Concept of finite element analysis
Completing part models for finite element analysis
Finite elements and placing loads for analysis
Concept of associative, parametric, and adaptive mesh
Laboratory
Introduction by studying typical FEA tasks (VE6.1/a-b)
Creating and studying finite element mesh on a spatial surface (VE6.2)
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Concept of finite element analysis
Approximation of
location dependent parameters
as design variables
acting on the design performance
on a finite number of finite elements
Finite Element Modeling (FEM)
creates extended part and assembly model
for Finite Element Analysis (FEA)
A numerical method
Calculation of parameters on nodes
in a mesh
Node
Edge
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Completing part models for finite element analysis
(preprocessing)
Preparation of FEM
Preparation of geometric
model
Mesh generation
Hálógenerálás
Controlled by engineer
Convert model from
outside source
Automatic
New geometric model
Automatic correction
Simplified regions
Refining mesh
Definition of loads and
boundary conditions
Selection of material
properties
Checking for consistency
and correctness
New entities
Optimizing mesh
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Finite elements and placing loads for analysis
Mesh
Elements
One-dimensional
Planar
Shell
Solid
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Finite elements modeling
This FEM/FEA modeling and analysis
are done as Laboratory task VE6.1/a.
Part modeling is included in .ppt for
lecture 8.
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Finite elements modeling
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Finite elements and placing loads for analysis
Several frequently applied loads
Concentrated and distributed force.
Torque.
Contact pressure.
Acceleration (gravity, translation, rotation).
Temperature on surface.
Concentrated or distributed heat source.
Magnetic.
Boundary conditions
Placing loads and restraints
Making simulation of real operating conditions
possible.
On mesh (at nodes).
On geometry of the part (along lines and on
surfaces).
Mathematical expressions.
Automatic contact recognition.
Mechanical restraints restrict movements in
specified directions and result reaction forces.
Definition of degrees of freedom. Non-restrained
nodes have six degrees of freedom.
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Placing clamp restraint (DOF=0) on geometry
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Placing bearing load on geometry
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Placing distributed force load on geometry
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Compute the model
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Compute the model
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Concept of associative, parametric, and adaptive mesh
Two-way associative connection between shape model and mesh for automatic
change of the mesh in case of changed geometry.
Mesh is characterized by parameters mainly for the definition of its dimensions.
Adaptive mesh definition is an automatic modification of mesh density, element
order, and element shape.
Density can vary according to the load on each region.
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Visualize the mesh
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Definition of solution and visualize color ranges
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Visualize with and without deformation
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Nodal values – details from different regions of the solid
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Finite element modeling and analysis
Laboratory task VE6.1/b.
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Definition of a mechanical part to be analyzed
Slides 8-13 show main steps of
the part definition.
If you can not understand the
definition process, please refer to
relevant slide shows for the
previous lectures or to the lecturer.
Laboratory task VE6.2 includes
definition of this part.
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Definition of a mechanical part to be analyzed
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Definition of a mechanical part to be analyzed
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Definition of a mechanical part to be analyzed
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Definition of a mechanical part to be analyzed
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Definition of a mechanical part to be analyzed
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Definition of load and restraint in Finite Element Model (FEM)
Laboratory task VE6.1/b includes
definition of the subsequent FEM
and FEA model.
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Visualization of mesh in Finite Element Model (FEM)
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Finite Element Analysis (FEM)
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Introduction by studying typical FEA tasks
Source: www.catia.com
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Introduction by studying typical FEA tasks
Source: www.catia.com
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Creating and studying finite element mesh on a spatial surface
Laboratory task VE6.2
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Creating and studying finite element mesh on a spatial surface
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Creating and studying finite element mesh on a spatial surface
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Creating and studying finite element mesh on a spatial surface
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/
Creating and studying finite element mesh on a spatial surface
László Horváth
ÓU-IAM
http://users.nik.uni-obuda.hu/lhorvath/