Optimal damping layout in a shell structure using topology optimization

Kim, Sun Yong; Mechefske, Chris K.; Kim, Il Yong

doi:10.1016/j.jsv.2013.01.029

Cited by 78 publications

(34 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Alvelid, 2008;Kim et al, 2013). However, manufacturing issues have to be considered in realization of the conceptual design suggested by the topology optimization solutions.…”

Section: Discussionmentioning

confidence: 99%

“…Kang et al (2012) proposed an artificial damping material model-based topology optimization method for minimizing the dynamic response under harmonic excitations, and this model is then extended to topology optimization of damping layers in sound radiation structures (Zhang and Kang, 2013). Kim et al (2013) optimized distribution of the damping material attached to a given host structure by maximizing the modal loss factor. Up to now, however, integrated topology optimization of load-bearing structures incorporating damping material layers has been rarely addressed.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Vibration suppression using integrated topology optimization of host structures and damping layers

Zhang

Kang

2014

Journal of Vibration and Control

View full text Add to dashboard Cite

It is often desirable to simultaneously optimize the damping and stiffness distribution in the design of shell structures incorporating damping material layers for achieving the best vibration mitigation performance. This paper investigates the integrated topology optimization of host structures and damping layers for reducing the vibration level in the presence of harmonic excitations. Therein, the global damping matrix is a nonproportional one due to distributed damping effects. For an efficient frequency response analysis of the system with nonproportional damping, reduced-order equations are obtained by using lower-order eigenvectors of the undamped system, and then the method of complex mode superposition is employed for solving the dynamic equations in the state space. In the optimization model, the vibration amplitudes at specified positions are taken as the objective function. The relative densities of the elements are considered as design variables, and an artificial damping material model relating the local damping properties to the elemental density variables is employed. The Rational Approximation of Material Properties model is adopted to avoid localized modes in low-density areas during the optimization process. Numerical examples are presented to illustrate the effectiveness and efficiency of the proposed framework.

show abstract

“…Alvelid, 2008;Kim et al, 2013). However, manufacturing issues have to be considered in realization of the conceptual design suggested by the topology optimization solutions.…”

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vibration suppression using integrated topology optimization of host structures and damping layers

Zhang

Kang

2014

Journal of Vibration and Control

View full text Add to dashboard Cite

show abstract

“…점탄성 물질이 부착된 구조물의 모달 손실 계수 를 계산하기 위해서 modal strain energy(MSE) 기 법을 적용하였다 (2,5) . 모달 손실 계수는 '점탄성 물질 에 의한 손실 에너지'와 '전체 구조물의 에너지'의 비율이며, 다음과 같은 식으로 표현할 수 있다.…”

Section: Modal Strain Energy(mse)unclassified

“…In order to demonstrate the effectiveness and efficiency of RDVM topology optimization, optimal damping layouts and computational expenses are compared between conventional and RDVM topology optimization. 5,6) . …”

mentioning

confidence: 99%

RDVM Topology Optimization for Optimal Damping Treatment

Yong¹

2017

Transactions of the Korean Society for Noise and Vibration Engi

View full text Add to dashboard Cite

A full treatment of damping material is not an effective method because the damping effect is not significantly increased compared to that obtained by an effective partial damping treatment. Thus, a variety of methodologies has been considered in order to achieve an optimal damping treatment. One of the widely applied approaches is topology optimization. However, the high computational expenses can be an issue in topology optimization. A new efficient convergence criterion, reducible design variable method (RDVM), is applied to reduce computational expense in topology optimization. The idea of RDVM topology optimization is to adaptively reduce the number of design variables based on the history. The iteration repeats until the number of design variables becomes zero. The aim of this research is to adopt RDVM topology optimization into obtaining an optimal damping treatment. In order to demonstrate the effectiveness and efficiency of RDVM topology optimization, optimal damping layouts and computational expenses are compared between conventional and RDVM topology optimization. 5,6) .

show abstract

“…The basic formulation of the macroscopic problem is similar to the one presented by Kim et al (2013), who use topology optimization to find the best layout of damping treatments on a cylindrical shell structure. Other similar formulations have been suggested by Ling et al (2011);El-Sabbagh and Baz (2014) for damping treatments of plane plate structures, but where the final designs contain large regions with intermediate densities.…”

Section: Macroscopic Optimization Problemmentioning

confidence: 99%

A practical multiscale approach for optimization of structural damping

Andreassen

Jensen

2015

Struct Multidisc Optim

View full text Add to dashboard Cite

A simple and practical multiscale approach suitable for topology optimization of structural damping in a component ready for additive manufacturing is presented. The approach consists of two steps: First, the homogenized loss factor of a two-phase material is maximized. This is done in order to obtain a range of isotropic microstructures that have a connected stiff material phase. Second, the structural damping of the component is maximized using material interpolations based on the homogenized properties of the microstructures. In order to achieve convergence towards a discrete set of material phases in the macroscopic problem, a material interpolation that favors values close to the predefined material densities is introduced.

show abstract

Optimal damping layout in a shell structure using topology optimization

Cited by 78 publications

References 13 publications

Vibration suppression using integrated topology optimization of host structures and damping layers

Vibration suppression using integrated topology optimization of host structures and damping layers

RDVM Topology Optimization for Optimal Damping Treatment

A practical multiscale approach for optimization of structural damping

Contact Info

Product

Resources

About