This PhD thesis by Rostislav Lang deals with the design and analysis of membrane structures using FEA software.
RF-CUTTING-PATTERN Add-on Module for RFEM
Cutting Patterns of Tensile Membrane Structures
Further Information
"RFEM is the best I have used. I have experience with RISA, STAAD, ETABS, Visual Analysis, and others. In the tensile/fabric structure world, I've tried NDN, Forten, etc. Once you get used to RFEM's interface, it has no comparison to the others. Even with typical structures, it's much easier."
Doctoral Thesis on Membrane Structure Design According to FEA
The RF-CUTTING-PATTERN add-on module calculates and organizes cutting patterns for membrane structures. Boundary conditions of the cutting patterns on the curved geometry are determined by the boundary lines and independent planar or geodesic cutting lines. The flattening process is performed according to the minimum energy theory.
For each cutting pattern, it is possible to apply the compensation in the warp and weft directions. You can define a specific compensation value for each boundary line as well as overlaps for the manufacturing process.
Features
* Planar and geodesic cutting lines* Flattening of double-curved surface parts of tensioned membranes or pneumatic cushions
* Definition of cutting patterns by using boundary lines which are not required to be connected
* Sophisticated flattening based on the minimum energy theory
* Welding and boundary allowances
* Uniform or linear compensation in warp and weft direction
* Possibility of different compensations for boundary lines
* Adaptable data organisation (any additional modification of input data is considered up to the final "weld")
* Graphical display of cutting patterns
* Statistical information about each cutting pattern (width, length, size)
* Option to automatically generate cutting patterns from cells
Input
RF-CUTTING-PATTERN is activated by selecting the respective option in the Options tab in General Data of any RFEM model. After activating the add‑on module, a new object, "Cutting Patterns", is displayed under Model Data. If the membrane surface distribution for cutting in the basic position is too large, you can divide the surface by cutting lines (line types "Cut via Two Lines" or "Cut via Section") in the corresponding partial strips.
Then you can define the individual entries for each cutting pattern using the "Cutting Pattern" object. Here you can set boundary lines, compensations, and allowances.
Steps of the working sequence:
- Creation of cutting lines
- Creation of the pattern by selecting its boundary lines or using a semi‑automatic generator
- Free selection of warp and weft orientation by entering an angle
- Application of compensation values
- Optional definition of different compensations for boundary lines
- Different allowances (welding, boundary line)
- Preliminary representation of the cutting pattern in the graphic window at the side without starting the main nonlinear calculation
Calculation
The nonlinear calculation adopts the real mesh geometry of planar, buckled, simple curved, or double curved surface components from the selected cutting pattern and flattens this surface component in compliance with the minimization of distortion energy, assuming defined material behavior.
In simplified terms, this method attempts to compress the mesh geometry in a press, assuming frictionless contact, and to find the state in which the stresses from flattening in the component are in equilibrium in the plane. This way, minimum energy and optimum accuracy of the cutting pattern are achieved. Compensation for warp and weft as well as compensation for boundary lines are considered. Then, the defined allowances on boundary lines are applied to the resulting planar surface geometry.
Features:
- Minimization of distortion energy in the flattening process for very accurate cutting patterns
- Application for almost all mesh arrangements
- Recognition of adjacent cutting pattern definitions to keep the same length
- Mesh application for main calculation
Results
After the calculation, the "Point Coordinates" tab appears in the cutting pattern dialog box. In this tab, the result is displayed in the form of a table with coordinates and a surface in the graphical window. The coordinate table presents new flattened coordinates relative to the centroid of the cutting pattern for each mesh node. Furthermore, the cutting pattern with the coordinate system at the centroid is represented in the graphical window. When selecting a table cell, the respective node is displayed with an arrow in the graphic. In addition, the area of the cutting pattern is displayed below the node table.
Moreover, standard stress/strain results for each pattern are displayed in the RF‑CUTTING‑PATTERN load case in RFEM. Features:
- Results in a table, including information about the cutting pattern
- Smart table relating to the graphic
- Results of flattened geometry in a DXF file
- Output of strains after flattening in order to evaluate the cutting patterns
- Results of strains after flattening for the evaluation of patterns
Contact
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Cutting Pattern of Membranes and Cable Elements
Cable and tensile membrane structures are regarded as very slender and aesthetic building constructions. The partly very complex double-curved shapes can be found using suitable form-finding algorithms. One possible solution is to search for the form via the equilibrium between the surface stress (provided prestress and an additional load such as self-weight, pressure, and so on) and the given boundary conditions.
- How is it possible to create the cutting pattern geometry for a decorative sticker on a biaxially curved membrane roof?
- How are the properties of the elasticity and shear modulus of a membrane fabric with the usual force/length syntax transformed into the general force/surface syntax to be entered in RFEM?
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