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FlapSim: A Composable MuJoCo Simulation Platform and Reduced-Order Aerodynamic Model Hierarchy for Flapping-Wing Robotics

Summary

Researchers introduce FlapSim, an open-source modular MuJoCo platform for flapping-wing robotics, and benchmark five reduced-order aerodynamic configurations across 48 held-out scenarios. Careful timing alignment and harmonic reconstruction lift mean wrench fidelity from 0.6593 to roughly 0.966 while retaining about 65-68x CPU speedup over a quasi-steady blade-element reference.

SourcearXiv RoboticsAuthor: Mingshan He
FlapSim: A Composable MuJoCo Simulation Platform and Reduced-Order Aerodynamic Model Hierarchy for Flapping-Wing Robotics
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[Submitted on 29 Oct 2026]

Title:FlapSim: A Composable MuJoCo Simulation Platform and Reduced-Order Aerodynamic Model Hierarchy for Flapping-Wing Robotics

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Abstract:Flapping-wing simulation must reconcile high-frequency wingbeat aerodynamics with the slower dynamics relevant to flight control and reinforcement learning. We present FlapSim, a modular open-source MuJoCo simulation platform that combines robot descriptions, wing geometry, and composable aerodynamic models in a deterministic simulation pipeline. Across $48$ held-out scenarios spanning frequency, gimbal, wind, frequency-step, gust, and cross-robot flat-plate regimes, we compare five reduced-order configurations operating at $1\,\text{ms}$ with a $50\,\mu\text{s}$ quasi-steady blade-element reference. The built-in hover cycle-averaged baseline achieves a $67.51\times$ CPU speedup but only $0.6593$ mean wrench fidelity. Combining multirate $21$-substep clock synchronization, three-dimensional linear/quadratic inflow and gust coupling, analytical blade-element geometry scaling, and phase-locked $1f\text{--}6f$ harmonics raises mean fidelity to $0.9646$ at a $65.19\times$ speedup in a five-block model. A streamlined four-block model without explicit step-transient lag states achieves $0.9662$ fidelity at a $67.98\times$ speedup. Controlled ablations show that stroke harmonics are particularly important during frequency transitions, improving held-out frequency-step fidelity by $+0.3176$. Transfer-function analysis explains this effect: fixed-window cycle averaging retains harmonic contributions when the wingbeat frequency changes, so within-cycle reconstruction also improves the filtered wrench. Once phase alignment and harmonic synthesis are included, explicit transient lag states provide no additional benefit in this benchmark. These results characterize the accuracy--computation tradeoff of the aerodynamic hierarchy and identify timing, inflow, geometry, and harmonic representation as central considerations for reduced-order flapping-wing simulation.

Subjects:

Robotics (cs.RO)

ACM classes: I.6

Cite as: arXiv:2610.40902 [cs.RO]

(or arXiv:2610.40902v1 [cs.RO] for this version)

https://doi.org/10.48550/arXiv.2610.40902

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Mingshan He [view email] [v1] Thu, 29 Oct 2026 19:25:20 UTC (2,364 KB)

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Key points

  • FlapSim composes robot descriptions, wing geometry, and aerodynamic models in a deterministic MuJoCo pipeline
  • The built-in hover cycle-averaged baseline reaches 67.51x CPU speedup but only 0.6593 mean wrench fidelity
  • A five-block model with 21-substep multirate clocks, 3D inflow and gust coupling, analytical geometry scaling, and phase-locked 1f-6f harmonics reaches 0.9646 fidelity at 65.19x speedup
  • A streamlined four-block model drops explicit transient lag states and achieves 0.9662 fidelity at 67.98x speedup; ablations show stroke harmonics add +0.3176 during frequency steps

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