 # Practical Introduction into FEM I at RWTH Aachen

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APDL Code example

ET ITYPE Ename KOP1, KOP2, KOP3

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Ansys Parametric Design Language (APDL)

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Why do we need to add fixed rotation at a beam problem? (Session 2, task 1)

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Beam

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*get crossection, SECP, matid, PROP, AREA

SECDATA, crosssection

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Plane stress

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Tau_xy

Plane Strain

Plane Element

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Keyoptions

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APDL Code Example

SECDATA, VAL1, VAL2, ..., VAL12

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Practical Introduction into FEM I

APDL Code example

ET ITYPE Ename KOP1, KOP2, KOP3

• Defines a local element type from the element libary
• ITYPE: Arbitary (willkürlich) local element type number
• ET: Indicator what is implemented
• Ename: Element name (e.g Beam 188)
• KOP1, KOP2, ...Keyoptions, changing element behaviour

Practical Introduction into FEM I

Ansys Parametric Design Language (APDL)

• Imperativ scripting language of Ansys
• Most actions can be accessed via GUI-tools

Practical Introduction into FEM I

Why do we need to add fixed rotation at a beam problem? (Session 2, task 1)

Although the problem should not rotate due to nomarical inaccuracies in the solution process a rotation can occure

Practical Introduction into FEM I

Beam

• One Dimensional line element
• Based on Timoshenko beam theory which includes shear deformation effects
• DOF: UX,UY, UZ ,Rotx, Roty, Rotz

Practical Introduction into FEM I

*get crossection, SECP, matid, PROP, AREA

SECDATA, crosssection

• *get: reads cross section area from geometry with ID matid and stores it into user defind variable crosssection
• matid is a variable containing the geometry ID
• ET: changes the element type ot the geometry with the ID matid to LINK180
• SECTYPE: Associates the section the type "link" (this controls what we need to give using SECDATA)
• SECDATA: Assigns cross section are stored in the variable crosssection

Practical Introduction into FEM I

• One- dimensional line element
• Stab bzw. Seil
• to model trusses, sagging cables, links, springs
• DOF: UX, UY, UZ
• Force only along the axis
• Only compressing an pulling
• No graphic interface for Link --> needs to be enabled using APDL

Practical Introduction into FEM I

Plane stress

• All stresses orthogonal to a specific plane are zero
• assumtion used, if a thin strcutre like a triangle ruler is considered
• plane x-y: sigma_z = tau_yz = tau_xz = 0
• --> gamma_xz = gamma_yz =0
• epsilon_z os generally not cero, eliminated out of the equation system

Practical Introduction into FEM I

Tau_xy

• x: stress vector is in plane with normal vector on direction of x
• y: stress vector is in direction of y-axis

Practical Introduction into FEM I

Plane Strain

• Plane strain means that all strains orthogonal to a specific plane are zero
• Assumption of plane strain is often used, if a thik structure like a steel beam is considered
• For plane x-y: Epsilon_z = 0 = gamma_xz = gamma_yz = 0
• --> tau_xz = tau_yz = 0
• sigma_z is in general not zero. Its just eliminated out of equation system

Practical Introduction into FEM I

Plane Element

• Two dimensional element
• Linear element 4 - nodes
• Quadratic element with 8 - nodes
• DOF: UX, UY (No bending, no z - direction)
• Keyopt: Plane stress, axisymetric, plane strain

Practical Introduction into FEM I

Keyoptions

• Switches for turning on specific element options
• Every element has different keyoptions, one needs to check Anys documentation for details
• Some Keyoptions are built into the Ansys workbench GUI
• Some need to be included via APDL

Practical Introduction into FEM I

APDL Code Example

SECDATA, VAL1, VAL2, ..., VAL12

• Describes geometry of a section
• VAL1, VAL2 provides geometry information to a section (e.g. cross section)  TU München

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