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Updated: Mar 6, 2026

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Swimming Performance Assessment in Fishes
Published on: May 20, 2011
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How fish body stiffness distribution affects swimming performance: a theoretical perspective.
Xiaobo Zhang1, Zhongcai Pei1, Zhiyong Tang1
1School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, People's Republic of China.
Bioinspiration & Biomimetics
|March 4, 2026
Summary
Fish stiffness significantly impacts swimming. A rapidly decreasing stiffness from head to tail, with a low minimum-to-maximum stiffness ratio, optimizes fish locomotion performance, guiding robotic fish design.
Area of Science:
- Biomechanics
- Robotics
- Hydrodynamics
Background:
- Fish swimming locomotion is significantly influenced by body stiffness.
- Biological studies reveal heterogeneous stiffness across fish body segments.
- Stiffness generally decreases from anterior to posterior in fish.
Purpose of the Study:
- To develop an analytical model integrating fish body stiffness distribution into locomotion analysis.
- To investigate the effects of various stiffness distribution patterns on swimming performance.
- To provide foundational insights for designing variable-stiffness robotic fish.
Main Methods:
- Discretization of the resistive drag model.
- Incorporation of active bending moment distribution functions.
- Development of an analytical model for fish locomotion incorporating stiffness distribution.
Main Results:
- A rapidly decreasing stiffness distribution enhances swimming performance.
- A low ratio of minimum-to-maximum stiffness is optimal for locomotion.
- Investigated effects of different segment quantities and decreasing distribution patterns.
Conclusions:
- Stiffness distribution is a critical factor in efficient fish swimming.
- The developed model supplements biological experiments and informs robotic fish design.
- Optimal stiffness patterns can guide the development of advanced robotic swimmers.
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