Finite Element Analysis and Topology Optimization of a Six-Rotor Agricultural Drone’s Folding Mechanism

In the context of modern agriculture, the adoption of unmanned aerial vehicles (UAVs) has revolutionized crop protection practices. As labor shortages persist and farmland consolidation increases, the demand for efficient and adaptable machinery is paramount. Among these, multi-rotor agricultural drones have emerged as a preferred solution due to their versatility, ability to operate in diverse terrains, and reduced chemical exposure for operators. Specifically, six-rotor agricultural drones offer enhanced stability and payload capacity, making them ideal for precision spraying. However, a significant challenge lies in their portability and transport efficiency, especially in regions with fragmented fields requiring frequent relocation. To address this, I have developed a folding mechanism for the rotor arms of a six-rotor agricultural drone, aiming to achieve lightweight design and easy folding without compromising structural integrity. This paper details my comprehensive approach, involving finite element analysis (FEA) for static and dynamic characterization, followed by topology optimization to minimize weight while maintaining performance. The ultimate goal is to enhance the practicality of agricultural drones for real-world farming operations, ensuring they are compact, durable, and energy-efficient.

The core of this study focuses on the folding mechanism integrated into the rotor arms of a six-rotor agricultural drone. Traditionally, large-frame drones pose logistical hurdles due to their bulky dimensions, often exceeding 2 meters in span, which complicates transportation in standard vehicles. My design incorporates a folding mechanism that allows the drone to collapse into a more manageable size, reducing its footprint by over 75% when folded. This not only facilitates easier transit but also streamlines deployment in the field, critical for time-sensitive agricultural tasks. The mechanism consists of several key components: a male head, a female head, a locking buckle, a spring, and a pivot bolt. These parts are crafted from lightweight materials such as aluminum alloy (6061-T6) for the folding components and carbon fiber for the arms, balancing strength and weight. The hinge-like design enables the arms to rotate inward, secured by a spring-loaded lock that engages conical protrusions for firm closure. When folding, simply pulling the lock releases the arms, allowing quick reconfiguration. This innovation is pivotal for agricultural drones, as it enhances their mobility without sacrificing the robustness needed for continuous operation in challenging environments.

To ensure the folding mechanism’s reliability under operational loads, I conducted a detailed finite element analysis using ANSYS Workbench. The agricultural drone’s rotor system generates substantial forces during flight, with each propeller capable of producing up to 158.59 N of lift at full throttle. I modeled the entire wing assembly, including the folding mechanism and carbon fiber arm, to simulate real-world conditions. Constraints were applied by fixing one end of the arm (attached to the drone’s central body) and applying the maximum lift force at the other end (where the motor is mounted). This setup indirectly subjects the folding mechanism to realistic stresses and deformations. Material properties were assigned based on standard values: for aluminum alloy 6061-T6, a Young’s modulus of 69 GPa and yield strength of 240 MPa; for carbon fiber, an equivalent Young’s modulus of 210 GPa and yield strength of 4,870 MPa. The mesh was refined to 1 mm for the folding mechanism, resulting in 588,731 elements and 901,224 nodes, ensuring accuracy in stress concentration areas. Static analysis revealed that the maximum deformation occurred near the motor end, with a displacement of 0.9134 mm, which is negligible for flight stability. The von Mises stress peaked at 73.236 MPa in the transition region of the folding mechanism, well below the aluminum’s yield limit, indicating ample safety margin. This initial assessment confirmed that the agricultural drone’s folding mechanism could withstand extreme loads without failure, but also hinted at potential for weight reduction through optimization.

Beyond static strength, dynamic performance is crucial for agricultural drones, as vibrations from motor rotation can induce resonance, leading to structural fatigue or control issues. I performed a modal analysis to extract the natural frequencies and mode shapes of the folding mechanism. The first six modes were computed with one end fixed, simulating the arm’s attachment to the drone body. Results showed that the first natural frequency was 135.03 Hz, significantly higher than the maximum operational frequency of 32 Hz (corresponding to a motor speed of 1,900 rpm). This separation ensures that the agricultural drone avoids resonance during typical flight, maintaining smooth operation. The mode shapes illustrated various bending and torsional vibrations, primarily localized in the arm sections rather than the folding joints. This dynamic characterization provided a baseline for evaluating the mechanism’s stiffness and guided subsequent optimization efforts to preserve or enhance these frequencies while reducing mass.

With the FEA results indicating structural over-design, I proceeded to topology optimization using the variable density method. This technique optimizes material distribution within a defined design space, aiming to minimize weight while constraining stress and displacement. The mathematical formulation for topology optimization can be expressed as:

$$ \text{find } \rho = (\rho_1, \rho_2, \ldots, \rho_n)^T $$

$$ \min m(\rho) = \int_V \rho \, dV $$

$$ \text{subject to: } E(\rho_i) = \rho_i^p E_0 $$

$$ \int_V \rho \, dV \leq M^* $$

$$ 0 \leq \rho_{\min} < \rho_i \leq 1 \quad (i=1,2,\ldots,n) $$

Here, \( \rho \) represents the relative material density of each element, ranging from 0 (void) to 1 (solid). The objective function \( m(\rho) \) minimizes the mass, with \( V \) as the design volume. The constraint involves the elastic modulus \( E(\rho_i) \), where \( p \) is a penalty factor (typically 3) and \( E_0 \) is the base material modulus. \( M^* \) denotes the upper mass limit, and \( \rho_{\min} \) is a small positive value to avoid numerical singularities. I applied this method to the folding mechanism’s cylindrical regions, identified as having excess material. Using ANSYS Topology Optimization, I set the optimization goal as maximum stiffness with a 50% mass reduction constraint. The output displayed a density cloud map, highlighting areas where material could be removed without compromising performance. Based on this, I reconstructed the 3D model in SolidWorks, trimming unnecessary sections and adding fillets for manufacturability. The optimized folding mechanism weighed 140.22 g, down from 152.98 g, achieving an 8.34% mass reduction. For the entire agricultural drone, this translates to a total weight saving of 76.56 g (6 arms × 12.76 g), contributing to improved battery life and payload capacity—a critical factor for agricultural drones tasked with long-duration spraying missions.

To validate the optimized design, I re-ran the FEA for both static and dynamic analyses. The results, compared in tables below, demonstrate that the topology optimization successfully enhanced the agricultural drone’s folding mechanism without degrading its performance. Static analysis showed that the maximum stress decreased from 73.236 MPa to 62.59 MPa, a 14.54% reduction, while deformation remained virtually unchanged at 0.914 mm. This indicates improved stress distribution and durability, essential for the repetitive folding and unfolding cycles an agricultural drone undergoes. Modal analysis revealed slight shifts in natural frequencies, all remaining above the operational range, ensuring continued resonance avoidance. The table summarizes these comparisons, underscoring the optimization’s efficacy.

Table 1: Material Properties Used in Finite Element Analysis
Material Poisson’s Ratio Density (kg/m³) Young’s Modulus (MPa) Yield Strength (MPa)
Aluminum 6061-T6 0.33 2700 6.90e4 240
Carbon Fiber 0.30 1790 2.10e5 4870
Table 2: Comparison of Static Analysis Results Before and After Optimization
Parameter Before Optimization After Optimization Change
Maximum Deformation (mm) 0.9134 0.914 +0.07%
Maximum Stress (MPa) 73.236 62.59 -14.54%
Mass (g) 152.98 140.22 -8.34%
Table 3: Comparison of Modal Frequencies Before and After Optimization
Mode Frequency Before (Hz) Frequency After (Hz) Change (Hz)
1 135.03 135.8 +0.77
2 139.54 140.51 +0.97
3 655.08 658.47 +3.39
4 669.36 676.07 +6.71
5 1352.9 1318 -34.9
6 2104.5 2115.3 +10.8

The optimization process not only reduced weight but also refined the stress flow within the folding mechanism. By removing material from low-stress zones, the structure became more efficient, concentrating material along primary load paths. This is particularly beneficial for agricultural drones, which must endure cyclic loads during takeoff, landing, and in-flight maneuvers. The slight frequency adjustments, such as the decrease in the fifth mode from 1352.9 Hz to 1318 Hz, reflect changes in local stiffness but do not compromise overall dynamic stability. In fact, the increased frequencies in other modes suggest enhanced rigidity in certain directions, potentially improving the agricultural drone’s response to aerodynamic disturbances. These findings validate the topology optimization approach as a powerful tool for designing lightweight yet robust components for agricultural drones.

In conclusion, my research demonstrates a systematic methodology for enhancing the folding mechanism of a six-rotor agricultural drone through finite element analysis and topology optimization. The optimized design achieves a compact folded size of 940 mm × 740 mm × 470 mm, making the agricultural drone highly portable for transport in ordinary vehicles—a key advantage in rural settings. The weight reduction of 76.56 g across the drone contributes to extended flight times and greater operational efficiency, directly impacting the productivity of agricultural spraying tasks. Importantly, the structural integrity and dynamic performance are preserved, with stresses well within safe limits and natural frequencies avoiding resonance. This study underscores the value of integrating advanced engineering techniques like FEA and topology optimization into the development of agricultural drones, paving the way for more adaptive and sustainable farming solutions. Future work could explore multi-objective optimization incorporating fatigue analysis or experimental validation in field conditions, further refining the agricultural drone’s reliability for widespread adoption.

The implications of this work extend beyond a single component; it represents a paradigm shift in agricultural drone design, where lightweight and modularity are prioritized. As farming continues to evolve towards precision agriculture, drones equipped with such optimized folding mechanisms will play a pivotal role in reducing labor costs, minimizing chemical usage, and enhancing crop yields. By leveraging computational tools, I have shown that it is possible to balance conflicting design goals—strength, weight, and dynamics—in a way that benefits real-world applications. This approach can be adapted to other parts of the agricultural drone, such as the frame or payload mounts, fostering a holistic optimization strategy. Ultimately, the success of this folding mechanism highlights the potential for innovation in agricultural technology, driving forward the mission of making farming more efficient and environmentally friendly through smart engineering.

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