arxiv: 2604.20893 · v2 · submitted 2026-04-21 · 💻 cs.RO

Recognition: unknown

Design, Modelling and Experimental Evaluation of a Tendon-driven Wrist Abduction-Adduction Mechanism for an upper limb exoskeleton

Juwairiya S. Khan , Mostafa Mohammadi , John Rasmussen , Lotte N.S. Andreasen Struijk

Authors on Pith no claims yet

Pith reviewed 2026-05-10 02:38 UTC · model grok-4.3

classification 💻 cs.RO

keywords tendon-driven mechanismwrist exoskeletonabduction-adductiontorsional springsimulation-based designBowden cablerehabilitation roboticsupper limb assistance

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The pith

A single tendon passively tensioned by a simulation-selected torsional spring produces reliable wrist abduction-adduction in a compact exoskeleton prototype.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper introduces a tendon-driven actuation system using one cable and a clock spring for wrist side-to-side movement in exoskeletons. Instead of heavy motors or complex pneumatics, the design keeps the cable taut with a passive spring and uses computer models to pick the right spring strength. Testing on healthy users in different positions showed the simulated settings performed reliably across motion range, force needs, and consistency. This matters because lighter, simpler wrist supports could improve rehabilitation and daily assistance for people with arm weakness. If the models hold, designers can build such devices with less trial-and-error adjustment.

Core claim

The mechanism employs a single Bowden cable passively tensioned by a spiral torsional spring (clock spring) to maintain continuous cable tension without antagonistic actuation. Kinematic and dynamic modeling of the mechanism was performed to estimate the required torque and identify optimal spring parameters. These simulation-derived parameters guided the design of a functional prototype, which was experimentally evaluated with five participants with no motor disabilities under varying arm positions and loading conditions using three spring configurations to account for user variability and modeling uncertainties. Experimental results show consistent agreement with simulation-derived trends,

What carries the argument

Single Bowden cable tendon actuation passively tensioned by a torsional spring, with stiffness parameters chosen through kinematic and dynamic simulation.

Load-bearing premise

The kinematic and dynamic models plus chosen spring parameters accurately predict prototype behavior for users with motor impairments, even though all testing used only healthy participants under controlled conditions.

What would settle it

Measuring torque demand or motion repeatability on the prototype with participants who have wrist motor impairments and finding large deviations from the simulation predictions would falsify the claim that the models guide reliable design.

Figures

Figures reproduced from arXiv: 2604.20893 by John Rasmussen, Juwairiya S. Khan, Lotte N.S. Andreasen Struijk, Mostafa Mohammadi.

**Figure 2.** Figure 2: Exploded view of CAD assembly schematic of the WristExo where τ is joint torque, F is cable tension vector and r is the radius vector from joint axis to cable attachment (lever arm) 4. Cable Transmission: A 1 mm diameter, high-strength, low-stretch braided steel cable (Special-Butikken, Ribe A/S) runs from a remote motor capstan through a low-friction Bowden sheath into the base module. The cable wraps tan… view at source ↗

read the original abstract

Wrist exoskeletons play a vital role in rehabilitation and assistive applications, yet conventional actuation mechanisms such as electric motors or pneumatics often introduce undesirable weight, friction, and complexity. This paper presents a novel single-cable (tendon), torsional-spring-assisted actuation mechanism for wrist abduction-adduction, and a simulation-based method for selecting its stiffness parameters. The mechanism employs a single Bowden cable passively tensioned by a spiral torsional spring (clock spring) to maintain continuous cable tension without antagonistic actuation. Kinematic and dynamic modeling of the mechanism was performed to estimate the required torque and identify optimal spring parameters. These simulation-derived parameters guided the design of a functional prototype, which was experimentally evaluated with five participants with no motor disabilities (NMD) under varying arm positions and loading conditions using three spring configurations to account for user variability and modeling uncertainties. Experimental results show consistent agreement with simulation-derived trends, with the nominal spring configuration achieving balanced motion range, torque demand, and repeatability. The results demonstrate that simulation-informed stiffness selection can effectively guide the design of compact, cable-driven wrist exoskeletons while reducing reliance on empirical tuning.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Desk Editor's Note private letter to a colleague

This paper gives a workable single-cable tendon drive with torsional spring for wrist abduction-adduction, selected via simulation and checked against tests on healthy users.

read the letter

The core of the paper is a wrist mechanism that uses one Bowden cable kept under continuous tension by a spiral torsional spring instead of two motors or pneumatics. They run kinematic and dynamic models to estimate the torque the wrist needs, pick the spring stiffness from those simulations, build a prototype, and test it on five healthy participants in different arm positions and with added loads using three different spring setups. The experimental trends line up with what the simulations predicted for the nominal spring, which gives a reasonable motion range and repeatability without excessive torque demand. That match is the main positive result and shows the simulation step can cut down on blind tuning. The approach is straightforward engineering: model first, select parameters, prototype, and verify trends. It keeps the device lighter and simpler than dual-actuator designs, which matters for wearability in rehab exoskeletons. The choice to test multiple springs also gives some buffer for user-to-user differences and modeling gaps. The main limitation is that every test used healthy participants only. People with motor impairments can have different strength, spasticity, or passive stiffness, so the same spring parameters might not perform the same way in the target population. The abstract does not report error bars, standard deviations, or any statistical comparison, which makes it harder to judge how close the match really is or how repeatable the results are across trials. Without the full equations or sensitivity analysis in the abstract, it is also difficult to assess how robust the model is to small changes in cable routing or joint alignment. This work is aimed at engineers who design upper-limb exoskeletons and want a concrete example of simulation-guided passive tensioning. Readers who build or simulate cable-driven mechanisms will see a usable template for reducing actuator count. It is not a broad theoretical advance, but the sim-to-prototype loop is clear enough that it deserves a serious referee. The healthy-user data still demonstrates the method works in principle, and reviewers can push on generalizability and statistical reporting. I would send it to peer review rather than desk reject.

Referee Report

2 major / 2 minor

Summary. The manuscript presents a novel single-cable tendon-driven mechanism assisted by a torsional spring for wrist abduction-adduction in upper-limb exoskeletons. Kinematic and dynamic models are used to simulate torque requirements and select optimal spring stiffness parameters. A prototype is built based on these parameters and tested experimentally with five healthy participants under varying arm positions, loads, and three spring configurations. The results indicate that experimental trends align with simulation predictions, particularly for the nominal spring, demonstrating that simulation-informed design can guide parameter selection and reduce empirical tuning.

Significance. This work contributes to the field of wearable robotics by offering a compact, low-complexity actuation solution for wrist exoskeletons, addressing issues of weight and friction in conventional designs. The simulation-based parameter selection method provides a systematic alternative to trial-and-error tuning, which could accelerate development of assistive devices. The experimental validation across multiple conditions supports the practical utility of the approach for mechanism design.

major comments (2)

[Experimental Evaluation] Experimental results report consistent agreement with simulation-derived trends but include no error bars, standard deviations, or statistical tests to quantify the match. This is load-bearing for the central claim that simulation-informed stiffness selection effectively guides design, as unquantified visual trends alone provide limited rigor for validation of the method's reliability.
[Introduction and Experimental Evaluation] All testing uses five participants with no motor disabilities, yet the introduction frames the work for rehabilitation and assistive applications involving motor impairments. The model and nominal spring parameters are not shown to generalize to altered muscle tone or range of motion typical in target users, which directly affects the claim's applicability beyond healthy-subject design guidance.

minor comments (2)

[Modelling] Ensure the full kinematic and dynamic model equations, including all assumptions and the forward simulation procedure for torque estimation, are explicitly provided in the modelling section to support reproducibility of the stiffness selection process.
[Prototype Design and Experimental Setup] Specify the exact stiffness values (with units) for the three spring configurations tested and how they relate to the simulation-derived nominal value.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the positive assessment, detailed review, and recommendation for minor revision. We address the major comments point by point below, with revisions planned to improve rigor and clarity.

read point-by-point responses

Referee: [Experimental Evaluation] Experimental results report consistent agreement with simulation-derived trends but include no error bars, standard deviations, or statistical tests to quantify the match. This is load-bearing for the central claim that simulation-informed stiffness selection effectively guides design, as unquantified visual trends alone provide limited rigor for validation of the method's reliability.

Authors: We agree that quantitative measures of variability and statistical analysis are needed to strengthen the validation of the simulation-informed design method. In the revised manuscript, we will add error bars (standard deviation) to all relevant experimental figures showing torque, motion range, and repeatability across conditions. We will also include statistical tests (e.g., repeated-measures ANOVA with post-hoc comparisons) to assess differences between the three spring configurations and confirm that the nominal spring yields statistically significant improvements in balance of performance metrics. These additions will provide rigorous support for the central claim. revision: yes
Referee: [Introduction and Experimental Evaluation] All testing uses five participants with no motor disabilities, yet the introduction frames the work for rehabilitation and assistive applications involving motor impairments. The model and nominal spring parameters are not shown to generalize to altered muscle tone or range of motion typical in target users, which directly affects the claim's applicability beyond healthy-subject design guidance.

Authors: We acknowledge the distinction between the tested population and the broader target users. The current experiments validate the mechanism and simulation-based stiffness selection using healthy participants under controlled conditions, which is a standard first step for novel hardware. We will revise the introduction, abstract, and conclusions to more precisely position the work as providing a compact actuation solution and a simulation-guided design method, with rehabilitation applications as the motivating context rather than a direct claim of immediate applicability. We will also add a limitations paragraph explicitly noting that generalization to users with motor impairments (altered tone, spasticity, or restricted ROM) has not been tested and would require dedicated future studies. These textual clarifications will accurately bound the current claims without overstatement. revision: partial

Circularity Check

0 steps flagged

No significant circularity in derivation chain

full rationale

The paper derives spring parameters from independent kinematic and dynamic modeling plus forward simulation of torque requirements, then constructs a prototype and validates it experimentally. Experimental outcomes are compared against the pre-chosen simulation trends rather than used to fit or redefine the parameters. No self-definitional equations, fitted inputs renamed as predictions, load-bearing self-citations, or ansatz smuggling appear in the described flow. The central claim of simulation-informed design guidance is supported by external prototype data and remains self-contained.

Axiom & Free-Parameter Ledger

1 free parameters · 2 axioms · 0 invented entities

The work rests on standard rigid-body mechanics and spring modeling assumptions rather than new physical principles or fitted constants; no invented entities are introduced.

free parameters (1)

torsional spring stiffness
Selected via simulation to balance motion range, torque demand, and cable tension; specific numerical values not stated in abstract.

axioms (2)

standard math Rigid-body kinematics and dynamics govern cable and joint motion
Invoked for torque estimation and kinematic modeling of the wrist mechanism.
domain assumption Torsional spring maintains consistent passive tension without significant hysteresis or fatigue over test durations
Required for continuous cable tension without antagonistic actuation.

pith-pipeline@v0.9.0 · 5523 in / 1319 out tokens · 42116 ms · 2026-05-10T02:38:43.819102+00:00 · methodology

discussion (0)

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Clinical Evaluation of a Tongue-Controlled Wrist Abduction-Adduction Assistance in a 6-DoF Upper-Limb Exoskeleton for Individuals with ALS and SCI
cs.RO 2026-04 unverdicted novelty 4.0

Wrist abduction-adduction assistance in a tongue-controlled 6-DoF upper-limb exoskeleton improves task success rates and reduces spillage and failures for ALS and SCI users without increasing discomfort.

Reference graph

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