buda University John von Neumann Faculty of Informatics
Óbuda University John von Neumann Faculty of Informatics Institute of Applied Mathematics Master in Mechatronics Course Modeling and Simulation 6. Integrating finite element based simulation model into part model László Horváth http: //nik. uni-obuda. hu/lhorvath/
This presentation is intellectual property. It is available only for students in my courses. The screen shots in tis presentation was made in the CATIA V 5 and V 6 PLM systems the Laboratory of Intelligent Engineering systems, in real modeling process. The CATIA V 5 és V 6 PLM systems operate in the above laboratory by the help of Dassult Systémes Inc. and CAD-Terv Ltd. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
Contents Lecture Main concepts in finite element modeling (FEM) and analysis (FEA) Characteristics and examples of finite elements Applications at mechanical structures Sensors Eigen frequency analysis Analysis connections Results László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
Finite element modeling (FEM) and analysis (FEA) Numerical method. General solution method for place dependent parameters. Associative, parametric, and adaptive mesh of finite elements. Examples Line elements Three dimensional shell elements Two dimensional shell elements Solid body elements node Common edge László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
Characteristics of element Type Physical characteristic Connection with mesh Number of nodes DOF Type of behavior Physical characteristic E. G. Solid characteristic: it is defined in the case of boundary represented solid. Input and output characteristics: Input: Material Output: Stress (in node and Gauss point) Stretch (in node and Gauss point) Estimated error (in the center of element) Von Mises Equivalent Stress. (in node and Gauss point) Elastic energy (in the center of element) Elastic energy density (in the center of element) László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
Examples of finite elements Linear rod Linearly extended element Number of nodes: 2 Three linear DOFs Type of behavior: elastic Parabolic quadrangle Surface element Number of nodes: 8 6 DOFs Type of behavior: elastic Linear tetrahedron Solid element Number of nodes : 4 Centre of gravity (P 1). Three linear DOFs Type of behavior: elastic László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
Examples of finite elements Connection with contact Connection element Number of nodes: 1 slave, n-1 master Centre of gravity (P 1). Three linear DOFs Spring Physical characteristic: spring Number of nodes: 2 DOF: 6 per node, (3 translation and 3 rotation) Type of behavior: elastic László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
Finite element modeling (FEM) and analysis (FEA) Preprocessing Preparation of geometric model Preparation of FEM Convert model Definition of loads and boundary conditions Adaptive mesh correction Decrease or increase element dimension in order to achieve demanded accuracy or prevent unneeded accuracy. Define geometry Simplify model Complete model Generating mesh Define material characteristics Check FEM for correctness and consistency Optimize model Postprocessing results Interval based results Result in table Animation (in case of deformation) Type of analysis (solution) Linear: The analyzed parameter is proportional to the load in the analysis range. . Static: The analyzed parameter does not change in the function of time. Dynamic: The analyzed parameter changes in the function of time: natural frequency, vibration. Nonlinear: It is taken into consideration that the analyzed parameter change to load is non linear in certain conditions. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
Finite element modeling (FEM) and analysis (FEA) Source: CATIA. com László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
Finite element modeling (FEM) and analysis (FEA) Source: CATIA. com László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
Finite element modeling (FEM) and analysis (FEA) Source: CATIA. com László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
Finite element modeling (FEM) and analysis (FEA) Source: CATIA. com László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
Finite element model (FEM) Representation of the system to be analyzed Mesh objects: node, element. Property-type objects Material-type objects Representation of environment action Analysis Case: objects which define the solution type and procedure. Objects in type of solution: Restraint-type objects Load-type objects Mass-type objects László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
Sensor Physical result of computations It can be applied for modification of model and synthesize of analysis results Analysis definition Product definition Knowledge parameters Can be used in rules, checks, formulas, and at optimization. Analysis sensors László Horváth UÓ-JNFI-IAM Analysis results http: //users. nik. uni-obuda. hu/lhorvath/
Few types of sensors Global sensor Valid for the whole model For example: energy, maximum deformation, maximum stress, mass. Local sensor It is restricted to feature and topological objects. Depends of analysis case. For example: Gap, rotation vector, relative force sensor excitation. Reaction sensor Force and torque for restraint and connection definitions. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
Eigen frequency analysis The frequency at which a system is tend to vibrate without any drive and damping force. Iso-static Restraint Statically definite restraining part where all rigid-body motion is impossible. Non-structural Mass Contribution to mass by features which have negligible structural stiffness. Surface Mass Density is defined for supports. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
Analysis connections Connections are defined between features and geometrical entities between different components or on the same component (E. g. welding). Connection properties Defines boundary interactions of bodies. Between faces, for example: Slide: Fixed in normal direction, allows relative movement in the direction of tangent. Contact: It prevents handling common volumes on interfaced surfaces. Fixed spring connection: Defines elastic connection between two faces. Distance type, for example: Rigid or elastic connection: The connected bodies behave as infinitely rigid at the common boundary surface. Virtual rigid or elastic bolted connection: It considers tension of bolted fastening although there is no bolt in the model. Welded connection: between two bodies, for known welded connections. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
Results Mesh Body and connection meshes Preprocessing definitions Restraints, masses, and loads on the mesh. Deformations Mesh deformed by environmental effects. Accuracy Local accuracy on mesh. Analysis in plane section Inside analysis in body using change of position and orientation of an intersecting plane. Export analysis data Coordinate system, coordinates and values. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
Contents Laboratory 6. 1 Definition of part and FEM and FEA model in it (the first of the two examples is to be defined in V 5 system during class. 6. 1 can be combined with 6. 2) 6. 2 Structure of a FEM/FEA model with frequency and static cases László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 1 Laboratory task: Definition of part and FEM and FEA model in it. László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
6. 2 Laboratory task: FEM/FEA model with frequency and static cases László Horváth UÓ-JNFI-IAM http: //users. nik. uni-obuda. hu/lhorvath/
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