T-3-2-2 Proposal of Simplified Real-Time Multibody Analysis Method for Driving Simulator
DOI: 10.1299/jsmeacmd.2002.225
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Summary
This paper addresses the challenge of implementing high-fidelity multibody dynamics analysis in real-time for driving simulators. While multibody dynamics offers precise vehicle modeling, the computational intensity of solving differential-algebraic equations with high degrees of freedom typically prevents real-time execution. The authors propose a simplified analysis method that reduces calculation costs while maintaining sufficient accuracy for simulator applications, specifically targeting a 91-degree-of-freedom automobile model. The methodology involves a two-part approach: local and global analysis. For local dynamics, the authors utilize a car-fixed coordinate system where the origin is the vehicle’s center of gravity. To reduce computational load, they approximate the Jacobian matrix of constraint equations as constant, treating it as a linear constraint rather than recalculating its inverse at every time step. This approximation is justified by the small relative motion of vehicle bodies. Additionally, they employ quasi-coordinates to further simplify the equations of motion. For global positioning, a plane motion model calculates the vehicle’s trajectory based on tire forces derived from the Magic Formula model. The vehicle model consists of 13 rigid bodies with independent double wishbone suspensions, excluding suspension bush compliance to avoid stability issues with small integration steps. The study evaluates the proposed method’s efficiency and accuracy against exact multibody dynamics simulations. Computational cost analysis reveals that the proposed method reduces floating-point operations by more than 12 times compared to exact analysis, primarily by eliminating repeated Jacobian and inverse matrix calculations. On a PowerPC 604e processor (333 MHz), the method achieved stable real-time performance with a 2 ms integration step. Accuracy assessments, based on ISO-standard lateral transient response tests, show that the simplified method accurately replicates vehicle loci, lateral acceleration, and yaw rate responses compared to exact simulations. The significance of this work lies in its successful application to a driving simulator equipped with a 6-axes motion system. By enabling real-time multibody analysis, the simulator can provide physical feedback corresponding to complex vehicle dynamics without requiring physical prototyping. This allows for effective sensation estimation and handling evaluation during the early stages of vehicle development, bridging the gap between high-precision simulation and real-time interactive testing.
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| Stage | Outcome | Tool | Model | Prompt | Attempts | Completed |
|---|---|---|---|---|---|---|
| discover | success | Crossref | — | — | 1 | 2026-06-07 |
| archive | success | canonical_url | — | — | 1 | 2026-06-09 |
| extract | success | pdftotext | — | — | 2 | 2026-06-09 |
| clean | success | clean | — | — | 1 | 2026-06-09 |
| chunk | success | chunk | — | — | 1 | 2026-06-09 |
| embed | success | embed | Qwen/Qwen3-Embedding-8B | — | 1 | 2026-06-09 |
| enrich | success | openalex | — | — | 3 | 2026-07-02 |
| promote | success | — | — | — | 1 | 2026-06-07 |
| summarize | success | llm | qwen3.6-27b-prismaquant | summ-v5 | 1 | 2026-06-09 |
| tag | success | vector_similarity | — | — | 8 | 2026-06-11 |
| verify | success | — | — | — | 1 | 2026-06-09 |
Summary generated by qwen3.6-27b-prismaquant on 2026-06-09; verification: verified.
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