This study investigates the effect of different objective functions on the topology optimization of a loudspeaker basket for structural resonance avoidance. Three objective functions were considered: maximization of the first natural frequency, minimization of static strain energy, and minimization of dynamic strain energy. The results show that, for all objective functions, the first natural frequency increased significantly compared to the initial design, while both static and dynamic strain energies were reduced, indicating effective suppression of structural resonance. Although the performance differences among the objective functions were not substantial, minimization of static and dynamic strain energy exhibited higher computational efficiency compared to natural frequency maximization. In particular, minimization of static strain energy demonstrated advantages in computational efficiency and ease of implementation, suggesting it as a practical alternative for resonance-avoidance design of loudspeaker baskets. This study highlights the importance of objective function selection by quantitatively comparing optimization outcomes under different formulations.