Inspired by the jet propulsion mechanism of natural jellyfish, I have developed a bionic robot that utilizes shape memory alloy (SMA) springs as its primary actuation material. This bionic robot aims to replicate the efficient and low-noise movement of aquatic organisms, offering potential advantages over traditional propeller-based underwater systems. The use of SMA in bionic robots is particularly appealing due to its ability to generate substantial force and deformation upon thermal activation, enabling biomimetic motion without complex mechanical parts. In this article, I will detail the design, testing, and analysis of this SMA-driven bionic robot, focusing on the performance of SMA springs, the development of a linear differential actuator, hydrodynamic simulations, and experimental validation. Throughout, the term “bionic robot” will be emphasized to highlight the integration of biological principles with robotic engineering.
The concept of bionic robots draws from the observation that aquatic animals, such as jellyfish, exhibit high propulsion efficiency and maneuverability. Their jet-based locomotion involves cyclic contraction and expansion of a bell-shaped body, expelling water to generate thrust. My goal was to mimic this using smart materials, specifically SMA springs, which contract when heated and return to their original shape upon cooling. This property allows for direct actuation in a bionic robot, reducing weight and complexity. The development of such bionic robots is crucial for applications in underwater exploration, environmental monitoring, and marine research, where stealth and agility are paramount.

To begin, I conducted extensive tests on SMA springs to evaluate their suitability as actuators for the bionic robot. SMA materials, typically composed of nickel-titanium alloys, exhibit a shape memory effect where they revert to a pre-defined shape upon reaching a phase transformation temperature. In this bionic robot, I selected SMA springs with a wire diameter of 1 mm, an initial length of 8 mm, and a phase transformation temperature of 45°C. The performance was assessed by measuring displacement under varying electrical voltages and loads. The relationship between deformation speed and applied voltage is critical for controlling the bionic robot’s movement. For instance, under a load of 50 grams, the spring’s recovery time decreased from 17 seconds at 1.5 V to 6 seconds at 3 V, indicating that higher voltages accelerate actuation. This can be modeled using a thermal-energy balance equation:
$$ Q = I^2 R t = m c_p \Delta T + L_f $$
where \( Q \) is the heat generated, \( I \) is the current, \( R \) is the resistance, \( t \) is time, \( m \) is mass, \( c_p \) is specific heat, \( \Delta T \) is temperature change, and \( L_f \) is latent heat of transformation. The deformation velocity \( v \) can be expressed as a function of voltage \( V \) and load \( F \):
$$ v = k_1 V – k_2 F $$
where \( k_1 \) and \( k_2 \) are constants derived from experimental data. Table 1 summarizes the test results for SMA spring performance under different conditions, which informed the design parameters for the bionic robot.
| Voltage (V) | Load (g) | Initial Length (mm) | Final Length (mm) | Recovery Time (s) | Average Speed (mm/s) |
|---|---|---|---|---|---|
| 1.5 | 50 | 27 | 8 | 17 | 1.12 |
| 2.0 | 50 | 27 | 8 | 11 | 1.73 |
| 3.0 | 50 | 27 | 8 | 6 | 3.17 |
| 3.0 | 100 | 27 | 8 | 9 | 2.11 |
| 3.0 | 150 | 27 | 8 | 15 | 1.27 |
Based on these findings, I designed a linear differential actuator specifically for the bionic robot. This actuator employs two SMA springs arranged in a differential configuration to produce reciprocating motion of a pushrod, which then drives a crank-slider mechanism to simulate the jellyfish’s bell contraction and expansion. The actuator’s operation involves alternating current flow through the upper and lower springs: when the upper spring is heated, it contracts and pulls the pushrod upward, causing the bionic robot’s bell to contract; upon cooling and activating the lower spring, the pushrod moves downward, expanding the bell. This cycle replicates the jet propulsion of a natural jellyfish, making the bionic robot capable of forward movement. The force output \( F_a \) of the actuator can be described by:
$$ F_a = n \cdot (\sigma \cdot A) $$
where \( n \) is the number of active springs, \( \sigma \) is the stress generated by the SMA, and \( A \) is the cross-sectional area of the spring wire. To optimize performance, I incorporated a cooling chamber in the bionic robot’s design, allowing water to circulate around the springs and reduce the cooling time, thus increasing the actuation frequency. Table 2 shows the relationship between pushrod speed and load for the linear differential actuator, which is essential for predicting the bionic robot’s dynamics.
| Load (g) | Drive Voltage (V) | Pushrod Stroke (mm) | Actuation Time (s) | Average Speed (mm/s) |
|---|---|---|---|---|
| 50 | 3.0 | 25 | 5 | 5.00 |
| 100 | 3.0 | 25 | 7 | 3.57 |
| 150 | 3.0 | 25 | 10 | 2.50 |
| 200 | 3.0 | 25 | 15 | 1.67 |
| 250 | 3.0 | 25 | — | 0 (stall) |
The bionic robot’s mechanical structure includes six crank-slider mechanisms evenly distributed around a central control舱体, all connected to the SMA actuator. This arrangement ensures symmetrical force application, preventing rolling motions and enabling straight-line travel. The bell is covered with an elastic skin to mimic the jellyfish’s membrane, and the overall design prioritizes compactness and buoyancy control. For this bionic robot, I used a ballast system to achieve neutral buoyancy, minimizing gravitational effects during swimming. The dynamics of the bionic robot can be analyzed using a simplified equation of motion along the axial direction:
$$ m \frac{du}{dt} = T – D – F_{inertia} $$
where \( m \) is the mass of the bionic robot, \( u \) is its velocity, \( T \) is the thrust generated by the actuator, \( D \) is the hydrodynamic drag, and \( F_{inertia} \) is the inertial force due to accelerated water mass. The thrust \( T \) is related to the momentum change of expelled water:
$$ T = \rho A_j v_j^2 $$
with \( \rho \) as water density, \( A_j \) as the jet exit area, and \( v_j \) as the jet velocity. The drag \( D \) is modeled using a quadratic drag law:
$$ D = \frac{1}{2} C_d \rho A_f u^2 $$
where \( C_d \) is the drag coefficient and \( A_f \) is the frontal area of the bionic robot. To quantify these forces, I performed computational fluid dynamics (CFD) simulations on the bionic robot under three bell configurations: fully expanded, partially expanded, and fully contracted. The simulations used a k-epsilon turbulence model and assumed incompressible flow, with boundary conditions set to mimic steady swimming at speeds from 0.05 to 0.20 m/s. The results, summarized in Table 3, reveal how drag varies with speed and bell shape, which is critical for optimizing the bionic robot’s efficiency.
| Bell State | Pushrod Displacement (mm) | Frame Angle (°) | Velocity (m/s) | Drag Force (N) | Drag Coefficient \( C_d \) |
|---|---|---|---|---|---|
| Fully Expanded | 0 | 0 | 0.05 | 0.5 | 0.8 |
| Fully Expanded | 0 | 0 | 0.10 | 2.0 | 0.8 |
| Fully Expanded | 0 | 0 | 0.15 | 4.5 | 0.8 |
| Fully Expanded | 0 | 0 | 0.20 | 8.0 | 0.8 |
| Partially Expanded | 12.5 | 20.6 | 0.05 | 0.6 | 0.9 |
| Partially Expanded | 12.5 | 20.6 | 0.10 | 2.4 | 0.9 |
| Partially Expanded | 12.5 | 20.6 | 0.15 | 5.4 | 0.9 |
| Partially Expanded | 12.5 | 20.6 | 0.20 | 9.6 | 0.9 |
| Fully Contracted | 25 | 53.3 | 0.05 | 0.7 | 1.0 |
| Fully Contracted | 25 | 53.3 | 0.10 | 2.8 | 1.0 |
| Fully Contracted | 25 | 53.3 | 0.15 | 6.3 | 1.0 |
| Fully Contracted | 25 | 53.3 | 0.20 | 11.2 | 1.0 |
The simulations indicate that drag increases quadratically with speed, as expected, and is higher when the bell is contracted due to increased frontal area. This insight guides the control strategy for the bionic robot: to minimize energy consumption, the actuation frequency should be adjusted based on desired speed. Furthermore, the inertial force \( F_{inertia} \) can be approximated as:
$$ F_{inertia} = \rho V_b \frac{du}{dt} $$
where \( V_b \) is the volume of water displaced by the bionic robot’s bell motion. Combining these equations, the net acceleration of the bionic robot can be derived, which is essential for designing the control system.
For experimental validation, I constructed a prototype of the bionic robot and tested it in a water tank at 20°C. The control system, based on an AT89S52 microcontroller, regulated the SMA actuator via PWM signals to adjust heating and cooling cycles. The bionic robot was programmed to perform cyclic bell contractions, and its swimming performance was measured over an 800 mm distance. Tests were conducted at drive voltages of 6 V, 9 V, and 12 V, with PWM duty cycles set to 0.9 for contraction and 0.5 for expansion to balance speed and cooling. The results, shown in Table 4, demonstrate that the bionic robot achieved forward motion with average speeds proportional to voltage, reaching up to 44.4 mm/s at 12 V. This confirms the feasibility of SMA actuation for bionic robots, though higher voltages improve performance at the cost of increased power consumption.
| Drive Voltage (V) | Swimming Distance (mm) | Swimming Time (s) | Average Speed (mm/s) | Power Input (W) | Energy Efficiency (J/m) |
|---|---|---|---|---|---|
| 6 | 800 | 43 | 18.6 | 3.6 | 0.19 |
| 9 | 800 | 25 | 32.0 | 8.1 | 0.25 |
| 12 | 800 | 18 | 44.4 | 14.4 | 0.32 |
During testing, I observed that the bionic robot maintained straight-line trajectory without significant rolling, thanks to the symmetric actuator design. However, challenges such as SMA fatigue and temperature management were noted. The SMA springs showed signs of performance degradation after prolonged use, which could be mitigated by optimizing the material composition or implementing feedback control. Additionally, the cooling system effectively reduced cycle time, but in warmer waters, active cooling might be necessary for consistent operation. These aspects highlight areas for future improvement in bionic robot technology.
To further analyze the bionic robot’s energetics, I developed a model for the work done per cycle. The total work \( W \) includes the mechanical work of actuation and thermal losses:
$$ W = \int F_a \, dx + Q_{loss} $$
where \( F_a \) is the actuator force, \( dx \) is the displacement, and \( Q_{loss} \) is heat dissipated to the environment. For the bionic robot, the efficiency \( \eta \) can be defined as the ratio of useful propulsion power to electrical input power:
$$ \eta = \frac{T \cdot u}{V \cdot I} $$
Using data from Table 4, at 12 V, the efficiency is approximately 0.05, indicating room for improvement. Future bionic robot designs could incorporate more efficient SMA formulations or hybrid actuation systems.
In conclusion, this work demonstrates the successful development and testing of a bionic robot jellyfish actuated by SMA springs. The key findings include: SMA springs provide reliable and controllable actuation for bionic robots, with deformation speed adjustable via voltage; the linear differential actuator enables reciprocating motion that mimics biological jet propulsion; hydrodynamic simulations reveal drag characteristics essential for optimizing bionic robot performance; and experimental trials validate the bionic robot’s ability to swim at speeds up to 44.4 mm/s. The integration of SMA technology into bionic robots offers a promising avenue for creating agile, low-noise underwater vehicles. Future research will focus on enhancing the control algorithms for precise motion, improving SMA durability, and scaling the design for deeper water applications. Ultimately, this bionic robot serves as a foundation for advancing biomimetic robotics, with potential impacts on marine science and engineering.
The development of such bionic robots underscores the importance of interdisciplinary approaches, combining materials science, fluid dynamics, and robotics. As I continue to refine this bionic robot, I aim to incorporate sensor systems for autonomous navigation, making it a fully functional underwater platform. The lessons learned from this project can be applied to other bionic robots, such as fish or cephalopod-inspired designs, further expanding the capabilities of biomimetic systems. In summary, SMA-driven bionic robots represent a significant step forward in creating lifelike machines that can operate effectively in aquatic environments.
