<p>To satisfy the mass requirements of the balance slider within the vertical beam support system during full-mode flutter wind tunnel tests, this research proposes the design of an integrated vertical beam–electromagnetic support system. A comprehensive system model is developed, from which the Lagrange-Maxwell equations governing the dynamic behavior are derived. An analytical expression for the electromagnetic force counteracting the slider’s weight is subsequently obtained, enabling the determination of critical design parameters. Under baseline conditions—where aerodynamic forces and the aircraft model’s weight are in equilibrium—these design parameters are incorporated into the system equations. A first-order Taylor series expansion of the electromagnetic force and magnetic flux linkage is then employed to formulate a linearized model based on small perturbations. Complex modal analysis reveals that the open-loop system exhibits instability, prompting the implementation of a position-velocity-acceleration feedback control strategy. Stability analysis of the closed-loop system, conducted via complex modal theory, confirms system convergence. Finally, time-domain simulations of the closed-loop dynamic response under small initial disturbance velocities demonstrate the efficacy of the proposed control approach.</p>

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Electromechanical Coupling Dynamics and Control of Vertical Beam-Electromagnetic Support System for Wind-Tunnel Tests

  • Zijian Jiang,
  • Huisong Wu,
  • Zhenjun Zhao,
  • Busen Li,
  • Ligeng Yu

摘要

To satisfy the mass requirements of the balance slider within the vertical beam support system during full-mode flutter wind tunnel tests, this research proposes the design of an integrated vertical beam–electromagnetic support system. A comprehensive system model is developed, from which the Lagrange-Maxwell equations governing the dynamic behavior are derived. An analytical expression for the electromagnetic force counteracting the slider’s weight is subsequently obtained, enabling the determination of critical design parameters. Under baseline conditions—where aerodynamic forces and the aircraft model’s weight are in equilibrium—these design parameters are incorporated into the system equations. A first-order Taylor series expansion of the electromagnetic force and magnetic flux linkage is then employed to formulate a linearized model based on small perturbations. Complex modal analysis reveals that the open-loop system exhibits instability, prompting the implementation of a position-velocity-acceleration feedback control strategy. Stability analysis of the closed-loop system, conducted via complex modal theory, confirms system convergence. Finally, time-domain simulations of the closed-loop dynamic response under small initial disturbance velocities demonstrate the efficacy of the proposed control approach.