#6747. Shape and position preserving design of vibrating structures by controlling local energies through topology optimization

October 2026publication date
Proposal available till 25-05-2025
4 total number of authors per manuscript0 $

The title of the journal is available only for the authors who have already paid for
Journal’s subject area:
Acoustics and Ultrasonics;
Mechanical Engineering;
Condensed Matter Physics;
Mechanics of Materials;
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Abstract:
This manuscript discusses shape and position preserving designs in harmonic vibration problems using topology optimization. Shape preserving designs are obtained considering the active input power as the objective function and the local time-averaged potential energy as constraint. This approach is compared to another measure used in the literature, the local dynamic compliance, and the results show improved results with a more stable solution procedure. Regarding position preserving design, a new formulation is proposed, where the local time-averaged kinetic energy is used as design constraint. Some examples are presented and discussed in details, indicating the effectiveness of the proposed approaches as well as the physical interpretation of the designs.
Keywords:
Harmonic vibration; Kinetic energy; Position preserving design; Shape preserving design; Strain energy; Topology optimization

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