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Parametric Design of a Cable-Driven Coaxial Spherical Parallel Mechanism for Ultrasound Scans

Maryam Seraj, Mohammad Hossein Kamrava, Carlo Tiseo

TL;DR

The paper addresses the challenge of delivering high-fidelity, safe haptic feedback for medical teleoperation by introducing the Cable-Driven Coaxial Spherical Parallel Mechanism (CDC-SPM).It presents a comprehensive kinematic framework using DH parameterization and quaternions, along with forward/inverse kinematics, Jacobian-based performance analysis, and a hardware prototype validated through FEA and a test bench.Key contributions include relocating the center of rotation to the tool tip, reducing end-effector inertia with cable-driven actuation, and demonstrating an ultrasound-relevant workspace with pure rotational motion.The work provides a clear path toward practical, high-bandwidth haptic interfaces for ultrasound imaging, while detailing limitations (e.g., yaw range) and proposed improvements (tensioning, sensors, aluminum prototype).

Abstract

Haptic interfaces play a critical role in medical teleoperation by enabling surgeons to interact with remote environments through realistic force and motion feedback. Achieving high fidelity in such systems requires balancing performance trade-off among workspace, dexterity, stiffness, inertia, and bandwidth, particularly in applications demanding pure rotational motion. This paper presents the design methodology and kinematic analysis of a Cable-Driven Coaxial Spherical Parallel Mechanism (CDC-SPM) developed to address these challenges. The proposed cable-driven interface design allows for reducing the mass placed at the robot arm end-effector, thereby minimizing inertial loads, enhancing stiffness, and improving dynamic responsiveness. Through parallel and coaxial actuation, the mechanism achieves decoupled rotational degrees of freedom with isotropic force and torque transmission. Simulation and analysis demonstrate that the CDC-SPM provides accurate, responsive, and safe motion characteristics suitable for high-precision haptic applications. These results highlight the mechanism's potential for medical teleoperation tasks such as ultrasound imaging, where precise and intuitive manipulation is essential.

Parametric Design of a Cable-Driven Coaxial Spherical Parallel Mechanism for Ultrasound Scans

TL;DR

The paper addresses the challenge of delivering high-fidelity, safe haptic feedback for medical teleoperation by introducing the Cable-Driven Coaxial Spherical Parallel Mechanism (CDC-SPM).It presents a comprehensive kinematic framework using DH parameterization and quaternions, along with forward/inverse kinematics, Jacobian-based performance analysis, and a hardware prototype validated through FEA and a test bench.Key contributions include relocating the center of rotation to the tool tip, reducing end-effector inertia with cable-driven actuation, and demonstrating an ultrasound-relevant workspace with pure rotational motion.The work provides a clear path toward practical, high-bandwidth haptic interfaces for ultrasound imaging, while detailing limitations (e.g., yaw range) and proposed improvements (tensioning, sensors, aluminum prototype).

Abstract

Haptic interfaces play a critical role in medical teleoperation by enabling surgeons to interact with remote environments through realistic force and motion feedback. Achieving high fidelity in such systems requires balancing performance trade-off among workspace, dexterity, stiffness, inertia, and bandwidth, particularly in applications demanding pure rotational motion. This paper presents the design methodology and kinematic analysis of a Cable-Driven Coaxial Spherical Parallel Mechanism (CDC-SPM) developed to address these challenges. The proposed cable-driven interface design allows for reducing the mass placed at the robot arm end-effector, thereby minimizing inertial loads, enhancing stiffness, and improving dynamic responsiveness. Through parallel and coaxial actuation, the mechanism achieves decoupled rotational degrees of freedom with isotropic force and torque transmission. Simulation and analysis demonstrate that the CDC-SPM provides accurate, responsive, and safe motion characteristics suitable for high-precision haptic applications. These results highlight the mechanism's potential for medical teleoperation tasks such as ultrasound imaging, where precise and intuitive manipulation is essential.

Paper Structure

This paper contains 19 sections, 21 equations, 10 figures, 2 tables.

Table of Contents

  1. Introduction
  2. Preliminaries on Haptic Interface Design Principles
  3. Mechanism Design for Medical Haptic Interfaces
  4. Task Requirements for Ultrasound Scan
  5. Proposed CDC-SPM Haptic Interface
  6. Structural Concept
  7. Proposed Mechanism Kinematics
  8. Frame Definitions
  9. End-Effector Representation
  10. Kinematics Models Implementation
  11. Forward Kinematics
  12. Inverse Kinematics
  13. Kinematic Performance Analysis
  14. Haptic Interface Design
  15. Finite Element Analysis
  16. ...and 4 more sections

Figures (10)

  • Figure 1: Schematic representation of the proposed cable-driven coaxial spherical parallel haptic interface.
  • Figure 2: Probe workspace cone: useful workspace and safety region reported in Essomba2012DesignSystem.
  • Figure 3: Geometry of a special spherical parallel manipulator: (a) General model; (b) Coaxial model with $\gamma = 0$Bai2009ModellingParameters.
  • Figure 4: Modified CSPM: (a) Geometry, (b) Closed-loop kinematic chain.
  • Figure 5: Direct transformation of CDC-SPM mechanism in MATLAB.
  • ...and 5 more figures