Karamba3D v3
  • Welcome to Karamba3D
  • New in Karamba3D 3.1
  • See Scripting Guide
  • See Manual 2.2.0
  • 1 Introduction
    • 1.1 Installation
    • 1.2 Licenses
      • 1.2.1 Cloud Licenses
      • 1.2.2 Network Licenses
      • 1.2.3 Temporary Licenses
      • 1.2.4 Standalone Licenses
  • 2 Getting Started
    • 2 Getting Started
      • 2.1 Karamba3D Entities
      • 2.2 Setting up a Structural Analysis
        • 2.2.1 Define the Model Elements
        • 2.2.2 View the Model
        • 2.2.3 Add Supports
        • 2.2.4 Define Loads
        • 2.2.5 Choose an Algorithm
        • 2.2.6 Provide Cross Sections
        • 2.2.7 Specify Materials
        • 2.2.8 Retrieve Results
      • 2.3 The Karamba3D Menu
      • 2.4 User Settings
      • 2.5 Physical Units
      • 2.6 Asynchronous Execution of Karamba3D Components
      • 2.7 Quick Component Reference
  • 3 In Depth Component Reference
    • 3.0 Settings
      • 3.0.1 License
    • 3.1 Model
      • 3.1.1 Assemble Model
      • 3.1.2 Disassemble Model
      • 3.1.3: Modify Model
      • 3.1.4: Connected Parts
      • 3.1.5: Activate Element
      • 3.1.6 Create Linear Element
        • 3.1.6.1 Line to Beam
        • 3.1.6.2 Line to Truss
        • 3.1.6.3 Connectivity to Beam
        • 3.1.6.4: Index to Beam
      • 3.1.7 Create Surface Element
        • 3.1.7.1: Mesh to Shell
        • 3.1.7.2: Mesh to Membrane
      • 3.1.8: Modify Element
      • 3.1.9: Point-Mass
      • 3.1.10: Disassemble Element
      • 3.1.11: Make Element-Set
      • 3.1.12: Orientate Element
      • 3.1.13: Dispatch Elements
      • 3.1.14: Select Elements
      • 3.1.15: Support
    • 3.2: Load
      • 3.2.1: General Loads
      • 3.2.2: Beam Loads
      • 3.2.3: Disassemble Mesh Load
      • 3.2.4 Load-Case-Combinations
        • 3.2.5.1 Load-Case-Combinator
        • 3.2.5.2 Disassemble Load-Case-Combinaton
        • 3.2.5.3 Load-Case-Combination Settings
    • 3.3: Cross Section
      • 3.3.1: Beam Cross Sections
      • 3.3.2: Shell Cross Sections
      • 3.3.3: Spring Cross Sections
      • 3.3.4: Disassemble Cross Section
      • 3.3.5: Eccentricity on Beam and Cross Section
      • 3.3.6: Modify Cross Section
      • 3.3.7: Cross Section Range Selector
      • 3.3.8: Cross Section Selector
      • 3.3.9: Cross Section Matcher
      • 3.3.10: Generate Cross Section Table
      • 3.3.11: Read Cross Section Table from File
    • 3.4: Joint
      • 3.4.1: Beam-Joints
      • 3.4.2: Beam-Joint Agent
      • 3.4.3: Line-Joint
    • 3.5: Material
      • 3.5.1: Material Properties
      • 3.5.2: Material Selection
      • 3.5.3: Read Material Table from File
      • 3.5.4: Disassemble Material
    • 3.6: Algorithms
      • 3.6.1: Analyze
      • 3.6.2: AnalyzeThII
      • 3.6.3: Analyze Nonlinear WIP
      • 3.6.4: Large Deformation Analysis
      • 3.6.5: Buckling Modes
      • 3.6.6: Eigen Modes
      • 3.6.7: Natural Vibrations
      • 3.6.8: Optimize Cross Section
      • 3.6.9: BESO for Beams
      • 3.6.10: BESO for Shells
      • 3.6.11: Optimize Reinforcement
      • 3.6.12: Tension/Compression Eliminator
    • 3.7 Results
      • 3.7.1 General Results
        • 3.7.1.1 ModelView
        • 3.7.1.2 Result Selector
        • 3.7.1.3 Deformation-Energy
        • 3.7.1.4 Element Query
        • 3.7.1.5 Nodal Displacements
        • 3.7.1.6 Principal Strains Approximation
        • 3.7.1.7 Reaction Forces
        • 3.7.1.8 Utilization of Elements
        • 3.7.1.9 ReactionView
      • 3.7.2 Results on Beams
        • 3.7.2.1 BeamView
        • 3.7.2.2 Beam Displacements
        • 3.7.2.3 Beam Forces
        • 3.7.2.4 Node Forces
      • 3.7.3 Results on Shells
        • 3.7.3.1 ShellView
        • 3.7.3.2 Line Results on Shells
        • 3.7.3.3 Result Vectors on Shells
        • 3.7.3.4 Shell Forces
        • 3.7.3.5 Shell Sections
    • 3.8 Export
      • 3.8.1 Export Model to DStV
      • 3.8.2 Json/Bson Export and Import
      • 3.8.3 Export Model to SAF
      • 3.8.4 Export/Import Model to and from Speckle (WIP)
    • 3.9 Utilities
      • 3.9.1: Mesh Breps
      • 3.9.2: Closest Points
      • 3.9.3: Closest Points Multi-dimensional
      • 3.9.4: Cull Curves
      • 3.9.5: Detect Collisions
      • 3.9.6: Get Cells from Lines
      • 3.9.7: Line-Line Intersection
      • 3.9.8: Principal States Transformation
      • 3.9.9: Remove Duplicate Lines
      • 3.9.10: Remove Duplicate Points
      • 3.9.11: Simplify Model
      • 3.9.12: Element Felting
      • 3.9.13: Mapper
      • 3.9.14: Interpolate Shape
      • 3.9.15: Connecting Beams with Stitches
      • 3.9.16: User Iso-Lines and Stream-Lines
      • 3.9.17: Cross Section Properties
      • 3.9.18 Surface To Truss
      • 3.9.19 Head-Up Display Legend
    • 3.10 Parametric UI
      • 3.10.1: View-Components
      • 3.10.2: Rendered View
  • Troubleshooting
    • 4.1: Miscellaneous Questions and Problems
      • 4.1.0: FAQ
      • 4.1.1: Installation Issues
      • 4.1.2: Purchases
      • 4.1.3: Licensing
      • 4.1.4: Runtime Errors
      • 4.1.5: Definitions and Components
      • 4.1.6: Default Program Settings
    • 4.2: Support
  • Appendix
    • A.1: Release Notes
      • Work in Progress Versions
      • Older Versions
      • Version 2.2.0
      • Version 2.2.0 WIP
      • Version 1.3.3
      • Version 1.3.2 build 190919
      • Version 1.3.2 build 190731
      • Version 1.3.2 build 190709
      • Version 1.3.2
    • A.2: Background information
      • A.2.1: Basic Properties of Materials
      • A.2.2: Additional Information on Loads
      • A.2.3: Tips for Designing Statically Feasible Structures
      • A.2.4: Performance Optimization in Karamba3D
      • A.2.5: Natural Vibrations, Eigen Modes and Buckling
      • A.2.6: Approach Used for Cross Section Optimization
    • A.3: Workflow Examples
    • A.4: Bibliography
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  1. 3 In Depth Component Reference
  2. 3.7 Results
  3. 3.7.1 General Results

3.7.1.3 Deformation-Energy

Previous3.7.1.2 Result SelectorNext3.7.1.4 Element Query

Last updated 7 months ago

In mechanics, energy is equal to force times displacement parallel to its direction. Think of a rubber band: If you stretch it, you do work on it. This work gets stored inside the rubber and can be transformed into other kinds of energy. You may for example launch a small toy airplane with it: Then the elastic energy in the rubber gets transformed into kinetic energy. When stretching an elastic material, the force to be applied at the beginning is zero and then grows proportionally to the stiffness and the increase of length of the material. The mechanical work is equal to the area beneath the curve that results from drawing the magnitude of the applied force over its corresponding displacement. In case of linear elastic materials this gives a rectangular triangle with the final displacement forming one leg and the final force being its other leg. This shows that for equal final forces the elastic energy stored in a material decreases with decreasing displacements which corresponds to increasing stiffness.

The structure of the data trees returned from the component contains one branch for each element and sub-element. A sub-element is e.g., a face of a shell. In fig. 3.7.1.3.1 the second number from the right of the data-path corresponds to the element index. Since beams do not have sub-elements the last path-number is always zero in the above example. The numbers in each branch belong to the minimum- and maximum results. This corresponds to the selection in the Load-Case-Selector-component.

The "Ax-Energy"- and "Be-Energy"-outputs deliver the axial deformation- and bending energies. Have a look at "Ax-LCaseInd" and "Be-LCaseInd" in order to see from which load-case within the load-case-combination "LCC" the results in "Ax-Energy"- and "Be-Energy"- outputs derive. Since LCC = LC1|LC2 ("|" stands for "or") the iondexes are either "0" or "1".

Fig. 3.7.1.3.1 shows a simply supported beam with two load-cases. The model gets first passed through a which sets the model's default selection to the minimum and maximum result envelope. Thus, when the model enters the "Deformation-Energy"-component via the "Model"-input there is no necessity to supply an additional load-case-selection string via the "LCase" input-plug. If supplied, a "LCase"-input sets the model's new default load-case selection. With the input “Elems|Ids” one can supply identifiers od elements of those parts for which the deformation energy shall be calculated. An empty list means that all elements are considered. "nInt" controls the number of segments along each beam for doing the numerical integration of the elastic energy. It defaults to two but should be set to a larger number for higher accuracy in case of multiple loads along an element.

"Load-Case-Selector component"
50KB
Shell_BendingEnergy.gh
47KB
Shell_DeformationEnergy.gh
49KB
ResultingDeformationEnergy.gh
Fig. 3.7.1.3.1: Simply supported beam under axial and transversal point-loads in two load-cases LC1 and LC2.