Karamba3D v2
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English 英文
  • Welcome to Karamba3D
  • New in Karamba3D 2.2.0
  • See Scripting Guide
  • See Manual 1.3.3
  • 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: Physical Units
      • 2.4: Quick Component Reference
  • 3: In Depth Component Reference
    • 3.0 Settings
      • 3.0.1 Settings
      • 3.0.2 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: Line to Beam
      • 3.1.7: Connectivity to Beam
      • 3.1.8: Index to Beam
      • 3.1.9: Mesh to Shell
      • 3.1.10: Modify Element
      • 3.1.11: Point-Mass
      • 3.1.12: Disassemble Element
      • 3.1.13: Make Beam-Set 🔷
      • 3.1.14: Orientate Element
      • 3.1.15: Dispatch Elements
      • 3.1.16: Select Elements
      • 3.1.17: Support
    • 3.2: Load
      • 3.2.1: General Loads
      • 3.2.2: Beam Loads
      • 3.2.3: Disassemble Mesh Load
      • 3.2.4: Prescribed displacements
    • 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: ModelView
      • 3.7.2: Deformation-Energy
      • 3.7.3: Element Query
      • 3.7.4: Nodal Displacements
      • 3.7.5: Principal Strains Approximation
      • 3.7.6: Reaction Forces 🔷
      • 3.7.7: Utilization of Elements 🔷
        • Examples
      • 3.7.8: BeamView
      • 3.7.9: Beam Displacements 🔷
      • 3.7.10: Beam Forces
      • 3.7.11: Node Forces
      • 3.7.12: ShellView
      • 3.7.13: Line Results on Shells
      • 3.7.14: Result Vectors on Shells
      • 3.7.15: Shell Forces
      • 3.7.16 Results at Shell Sections
    • 3.8: Export 🔷
      • 3.8.1: Export Model to DStV 🔷
      • 3.8.2 Json / Bson Export and Import
    • 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
    • 3.10 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
      • 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: Hints on Reducing Computation Time
      • 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. 3.6: Algorithms

3.6.1: Analyze

Previous3.6: AlgorithmsNext3.6.2: AnalyzeThII 🔷

Last updated 3 years ago

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With geometry, supports and loads defined, the structural model is ready for processing. The “Analyze”-component computes the mechanical response for each load case and adds this information to the model.

The algorithm behind the “Analyze”-component neglects the change of length in axial or in-plane direction which accompanies lateral deformations. This is justified in case of displacements which are small with respect to the dimensions of a beam of shell. For dealing with situations where this condition does not hold, geometric non-linear calculations need to be used (see sections and ).

In case of the presence of second order normal forces (NIIN^{II}NII, see below) their influence on structural stiffness is taken into account. Those NIIN^{II}NII-forces do not get updated by the “Analyze”-component. Use the “AnalyzeThII” for that.

Fig. 3.6.1 shows a deflected beam with two load-cases. An axial load acts in load-case zero, a transverse load in mid-span in load-case one.

The analysis component not only computes the model deflections but also outputs the maximum nodal displacement (in centimeter), the maximum total force of gravity (in kilo Newton, if gravity is set) and the structure's internal deformation energy for each load case - section contains details on work and energy. These values can be used to rank structures in the course of a structural optimization procedure: the more efficient a structure, the smaller the maximum deflection, the amount of material used and the value of the internal elastic energy. Real structures are designed in such a way that their deflection does not impair their usability. See section for further details. Maximum deflection and elastic energy both provide a benchmark for structural stiffness, yet from different points of view: The value of elastic energy allows to judge a structure as a whole; The maximum displacement returns a local peak value.

In order to view the deflected model use the “ModelView”-component (see section ) and select the desired load case in the menu “Result Case”.

Looking at fig. 3.6.1 one notices that only beam center axes are shown. In order to see beams or shells in a rendered view, add a “BeamView”- or “ShellView”-component after the “ModelView”. See sections and for details.

3.6.2
A.2.3
3.6.1
3.6.7
3.6.11
3.5.3
3.5.4
Fig. 3.6.1: Deflection of simply supported beam under single load in mid-span and axial, compressive load