modify wiki

2026-05-29 17:05:53 +09:00
parent b7f84e1c0f
commit b7b79e38b1
64 changed files with 3131 additions and 48 deletions
@@ -0,0 +1,60 @@
+---
+type: concept
+title: "Abaqus Matrix-Based Model Definition"
+complexity: advanced
+domain: computational-mechanics
+created: 2026-05-29
+updated: 2026-05-29
+address: c-000075
+aliases:
+  - Abaqus matrix input
+  - matrix-based model definition
+  - Abaqus matrix assembly
+tags:
+  - concept
+  - finite-element-method
+  - abaqus
+  - matrix-assembly
+status: current
+related:
+  - "[[Abaqus-Analysis-User-s-Guide-Volume-I|Abaqus Analysis User's Guide Volume I]]"
+  - "[[Abaqus-Analysis-User-s-Guide-Volume-II|Abaqus Analysis User's Guide Volume II]]"
+  - "[[Abaqus Matrix Generation and Reduced Models]]"
+  - "[[Direct Stiffness Method]]"
+  - "[[Static Equilibrium Equation Solvers]]"
+  - "[[Direct Time Integration Methods]]"
+  - "[[Finite Element Program Implementation]]"
+sources:
+  - "[[Abaqus-Analysis-User-s-Guide-Volume-I|Abaqus Analysis User's Guide Volume I]]"
+  - "[[Abaqus-Analysis-User-s-Guide-Volume-II|Abaqus Analysis User's Guide Volume II]]"
+---
+
+# Abaqus Matrix-Based Model Definition
+
+## Definition
+
+Abaqus matrix-based model definition is the use of directly supplied stiffness, mass, viscous damping, or structural damping matrices as part of an Abaqus/Standard model.
+
+## How It Works
+
+The guide describes named matrix input in text or SIM form. A matrix can be symmetric or unsymmetric, scaled, and assembled into the analysis model through shared nodes or explicit node remapping. Matrix-based components can represent a model part when the analyst already has a linearized matrix description from another source or from a previous analysis.
+
+Matrix assembly connects matrix-represented regions to conventionally meshed regions. In nonlinear analyses, the supplied matrix contribution remains linear; the surrounding model can still undergo nonlinear material, contact, or geometric response depending on the procedure and connected elements.
+
+Volume II adds the complementary generation workflow: Abaqus/Standard can generate stiffness, mass, damping, and load matrices in a linear perturbation step and write them to SIM or text files for later Abaqus input or external software.
+
+## Why It Matters
+
+Matrix input exposes the algebraic layer of finite element analysis. It connects production [[ABAQUS]] modeling to [[Direct Stiffness Method]] ideas: element or component contributions become matrices that are assembled into global static or dynamic equations.
+
+## Connections
+
+- [[Static Equilibrium Equation Solvers]] solve stiffness-based systems that matrix input can contribute to.
+- [[Direct Time Integration Methods]] can use mass and damping matrices in transient dynamics.
+- [[Finite Element Program Implementation]] explains the matrix assembly and global equation context behind this feature.
+- [[Abaqus Matrix Generation and Reduced Models]] covers the export side of the same matrix-based workflow.
+
+## Sources
+
+- [[Abaqus-Analysis-User-s-Guide-Volume-I|Abaqus Analysis User's Guide Volume I]]
+- [[Abaqus-Analysis-User-s-Guide-Volume-II|Abaqus Analysis User's Guide Volume II]]