Topology optimization for a frequency response and its application to a violin bridge

Yu, Yonggyun; Jang, In Gwun; Kwak, Byung Man

doi:10.1007/s00158-013-0907-8

Cited by 24 publications

(3 citation statements)

References 20 publications

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“…Engineering has explored non-interactive inverse shape design for the vibrational modes or frequencies of an object. Some works [Yoo et al 2006;Yu et al 2010] focus on specific geometries (such as rotating beams or thin plates), while others are only concerned with the frequency [Choi and Kim 2006;Yamasaki et al 2010] or the amplitude [Yu et al 2013] of the vibration modes. Other works focus on objects under harmonic loads [Choi and Kim 2006] and are incompatible with the contact sound inverse shape design problem.…”

Section: Contact Sound Simulationmentioning

confidence: 99%

Computational design of metallophone contact sounds

Bharaj¹,

Levin

Tompkin³

et al. 2015

ACM Trans. Graph.

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Metallophones such as glockenspiels produce sounds in response to contact. Building these instruments is a complicated process, limiting their shapes to well-understood designs such as bars. We automatically optimize the shape of arbitrary 2D and 3D objects through deformation and perforation to produce sounds when struck which match user-supplied frequency and amplitude spectra. This optimization requires navigating a complex energy landscape, for which we develop Latin Complement Sampling to both speed up finding minima and provide probabilistic bounds on landscape exploration. Our method produces instruments which perform similarly to those that have been professionallymanufactured, while also expanding the scope of shape and sound that can be realized, e.g., single object chords. Furthermore, we can optimize sound spectra to create overtones and to dampen specific frequencies. Thus our technique allows even novices to design metallophones with unique sound and appearance.

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Section: Contact Sound Simulationmentioning

confidence: 99%

Computational design of metallophone contact sounds

Bharaj¹,

Levin

Tompkin³

et al. 2015

ACM Trans. Graph.

View full text Add to dashboard Cite

show abstract

“…Consequently, even individuals with limited expertise can effectively wield optimization tools following brief training (Nobel-Jørgensen et al 2016). This simplicity of structure design and reduced demand for user expertise have facilitated the wide-ranging application of topology optimization across domains, including garment design (Zhang and Kwok 2019) and the development of musical instruments (Yu et al 2013;Li et al 2016).…”

Section: Introductionmentioning

confidence: 99%

Topology optimization with text-guided stylization

Zhong,

Punpongsanon,

Iwai

et al. 2023

Struct Multidisc Optim

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We propose an approach for the generation of topology-optimized structures with text-guided appearance stylization. This methodology aims to enrich the concurrent design of a structure’s physical functionality and aesthetic appearance. Users can effortlessly input descriptive text to govern the style of the structure. Our system employs a hash-encoded neural network as the implicit structure representation backbone, which serves as the foundation for the co-optimization of structural mechanical performance, style, and connectivity, to ensure full-color, high-quality 3D-printable solutions. We substantiate the effectiveness of our system through extensive comparisons, demonstrations, and a 3D-printing test.

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“…The maximization of single and multiple eigenfrequencies and relevant band-gaps for vibrating structures is addressed in [2] whereas a similar problem for Euler-Bernoulli beams has been proposed in [3]. More recently methods for the optimal design of forced beams and continua in dynamic regime have been presented that may be roughly grouped into two main categories: approaches that make use of the dynamic compliance concept, see [4], [5] and [6] among others, and frequency domain methods that are investigated in [7], [8] and [9] just to mention a few. Focus of this paper is on the proposal of a new frequency-based topology optimization strategy for dynamic structures that aims at the minimization of the input/output transfer function H ∞norm.…”

Section: Introductionmentioning

confidence: 99%

Designing Manufacturable Viscoelastic Devices Using a Topology Optimization Approach Within a Truly-Mixed Fem Framework

Venini¹,

Pingaro²,

Cinquini³

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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A new approach to topology optimization is presented that is based on the minimization of the input/output transfer function H ∞ norm. Additionally, by properly selecting input and output vector, the approach is recognized to minimize an entirely new definition of frequency-based dynamic compliance. The method is applied to viscoelastic systems in plane strain conditions that are investigated by using the Arnold-Winther finite-element resorting to a generalized solid phenomenological model. Preliminary indications on how to address the actual manufacturability of the optimal specimen are eventually outlined.

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Topology optimization for a frequency response and its application to a violin bridge

Cited by 24 publications

References 20 publications

Computational design of metallophone contact sounds

Computational design of metallophone contact sounds

Topology optimization with text-guided stylization

Designing Manufacturable Viscoelastic Devices Using a Topology Optimization Approach Within a Truly-Mixed Fem Framework

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