A harmonic balance approach for designing compliant mechanical systems with nonlinear periodic motions
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Date
2020-12
Publication Type
Journal Article
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yes
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Abstract
We present a computational method for designing compliant mechanical systems that exhibit large-amplitude oscillations. The technical core of our approach is an optimization-driven design tool that combines sensitivity analysis for optimization with the Harmonic Balance Method for simulation. By establishing dynamic force equilibrium in the frequency domain, our formulation avoids the major limitations of existing alternatives: it handles nonlinear forces, side-steps any transient process, and automatically produces periodic solutions. We introduce design objectives for amplitude optimization and trajectory matching that enable intuitive high-level authoring of large-amplitude motions. Our method can be applied to many types of mechanical systems, which we demonstrate through a set of examples involving compliant mechanisms, flexible rod networks, elastic thin shell models, and multi-material solids. We further validate our approach by manufacturing and evaluating several physical prototypes. © 2020 ACM.
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published
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Journal / series
Volume
39 (6)
Pages / Article No.
191
Publisher
Association for Computing Machinery
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Edition / version
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Date collected
Date created
Subject
Nonlinear Vibration; Dynamic Motion Design
Organisational unit
09620 - Coros, Stelian / Coros, Stelian
Notes
Funding
866480 - Computational Models of Motion for Fabrication-aware design of Bioinspired Systems (EC)