Optimal Design for the Passive Control of Vibration Based on Limit Cycles

Abstract

The optimal design of damping parameters for passive vibration control remains a challenge for both research and industrial applications. Here, we introduce a design methodology based on limit cycle analysis in concert with design optimization. A state-space representation is used to model the vibrational behavior converged to its limit cycle. The design approach is outlined and applied to mechanical systems undergoing periodic forces. This method is applicable to both vibration mitigation and energy harvesting, and examples of both are shown. We conclude with a summary of the results and an outlook for future developments and applications.

Multiresolution Topology Optimization of Large-Deformation Path-Generation Compliant Mechanisms with Stress Constraints

“…This characteristic presents a number of advantages including no frictional loss, scalability and precision due to lack of backlash [1]. Further, the energy required for movement can be saved as elastic energy, which can be used to move the mechanism back to its original position or to be harvested in the form of electricity, e.g., Rojas et al [2]. The optimal designs achieved via topology optimization have traditionally undergone toilsome derivation of geometries to ensure manufacturability.…”

Robust Assignment of Natural Frequencies and Antiresonances in Vibrating Systems through Dynamic Structural Modification

“…Passive approaches are widely investigated since they are stable due to the symmetric and definite positive nature of the structural modifications. Several works have been proposed in the literature to address different problems, such as the assignment of frequencies [14][15][16][17][18], vibration nodes [19], mode shapes and natural frequencies [20,21], antiresonance frequencies [22][23][24], or the optimal design of dampers [25].…”