Numerical analysis perspective in structural shape optimization: A review post 2000

Upadhyay, Bhavik D.; Sonigra, Sunil S.; Daxini, Sachin D.

doi:10.1016/j.advengsoft.2021.102992

Cited by 45 publications

(16 citation statements)

References 233 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…We focus on optimization methods designed to solve optimization problems that are constrained by partial differential equations (PDE). These arise, for example, in many fields of engineering such as fluid mechanics [90,71,60], structural mechanics [3,94] and acoustics [79,43].…”

Section: Introductionmentioning

confidence: 99%

Parameter-free shape optimization: various shape updates for engineering applications

Radtke¹,

Bletsos²,

Kühl³

et al. 2023

Preprint

View full text Add to dashboard Cite

In the last decade, parameter-free approaches to shape optimization problems have matured to a state where they provide a versatile tool for complex engineering applications. However, sensitivity distributions obtained from shape derivatives in this context cannot be directly used as a shape update in gradient-based optimization strategies. Instead, an auxiliary problem has to be solved to obtain a gradient from the sensitivity. While several choices for these auxiliary problems were investigated mathematically, the complexity of the concepts behind their derivation has often prevented their application in engineering. This work aims at an explanation of several approaches to compute shape updates from an engineering perspective. We introduce the corresponding auxiliary problems in a formal way and compare the choices by means of numerical examples. To this end, a test case and exemplary applications from computational fluid dynamics are considered.

show abstract

Section: Introductionmentioning

confidence: 99%

Parameter-free shape optimization: various shape updates for engineering applications

Radtke¹,

Bletsos²,

Kühl³

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

“…Optimum şeklin belirlenmesi, tasarım topolojisi sabit kaldığında optimum geometrik profili bulmak için alan sınırlarının yumuşak modifikasyonları ile ilgilenir. Yapının optimum topolojisi ise maksimum tasarım esnekliği ile çalışır ve üretim ve birleştirme boşlukları yoluyla optimum malzeme dağılımını belirler [5]. Pek çok kaynakta, gradyan yönteminin ilk olarak Louis Augustin Cauchy tarafından kullanıldığı ifade edilmektedir.…”

Section: Gi̇ri̇ş (Introduction)unclassified

Shape and Size Optimization of Planar Truss Bridges by Gradient Descent Method

TAŞKESİĞİ

Güray

2023

Politeknik Dergisi

View full text Add to dashboard Cite

Bu çalışmada, sabit bir açıklık mesafesi için, Warren kafes tipi köprünün olası en hafif tasarımı hedeflenmektedir. Optimum yapıya Gradyan-Düşüş yöntemiyle ulaşılmıştır. Tüm yapıyı oluşturan çubuk elemanların toplam ağırlığı amaç fonksiyonu olarak kullanılmıştır. Açıklıktaki çubukların boyutu ve dikey çubukların yükseklikleri tasarım değişkenleri olarak atanmaktadır. Çubukların basınç ve çekme mukavemeti, burkulma direnci ve dinamik kısıtlama olarak minimum doğal titreşim frekansları, sınırlandırılmakta veya belirli aralıklar içinde tanımlanmaktadır. Kısıtlamalar logaritmik bariyer fonksiyonu olarak işlemlere dahil edilmektedir. Aralık sayısında artışla, nihai optimum yapının az da olsa ağırlaştığı ve optimum yapının şeklinin parabole yakın bir eğriyi gösterdiği ve dinamik kısıtlamalar işleme dahil edildiğinde optimum yapının dikey yönde daha rijit hale geldiği bu çalışmanın bazı önemli sonuçlarıdır.

show abstract

“…Topology optimization can provide effective load transfer paths and the best material distribution in a design space (Meng et al , 2020). Size optimization can determine the combination of optimal structural parameters (such as plate thickness and beam section width and length) (Upadhyay et al , 2021). Shape optimization can be used to optimize the geometric shape of a part without changing the original topology (Wang et al , 2018c).…”

Section: Introductionmentioning

confidence: 99%

Lightweight design of an AlSi10Mg aviation control stick additively manufactured by laser powder bed fusion

Wang

Wei

Liu³

et al. 2022

RPJ

View full text Add to dashboard Cite

Purpose This paper aims to explore a structural optimization method to achieve the lightweight design of an aviation control stick part manufactured by laser powder bed fusion (LPBF) additive manufacturing (AM). The utilization of LPBF for the fabrication of the part provides great freedom to its structure optimization, further reduces its weight and improves its portability. Design/methodology/approach The stress distribution of the model was analyzed by finite element analysis. The material distribution path of the model was optimized through topology optimization. The structure and size of the parts were designed by applying honeycomb structures for weight reduction. The lightweight designed control stick part model was printed by LPBF using AlSi10Mg. Findings The weight of the control stick model was reduced by 32.64% through the optimization method using honeycomb structures with various geometries. The similar stress concentrations of the control stick model indicate that weight reduction has negligible effect on its mechanical strength. The maximum stress of the lightweight designed model under loading is 230.85 MPa, which is 61.81% larger than that of the original model. The lightweight control stick part manufactured by LPBF has good printability and service performance. Originality/value A structural optimization method integrating topology, shape and size optimization was proposed for a lightweight AlSi10Mg control stick printed by LPBF. The effectiveness of the optimization method, the printability of the lightweight model and the service performance of LPBF-printed AlSi10Mg control stick was verified, which provided practical references for the lightweight design of AM.

show abstract

Numerical analysis perspective in structural shape optimization: A review post 2000

Cited by 45 publications

References 233 publications

Parameter-free shape optimization: various shape updates for engineering applications

Parameter-free shape optimization: various shape updates for engineering applications

Shape and Size Optimization of Planar Truss Bridges by Gradient Descent Method

Lightweight design of an AlSi10Mg aviation control stick additively manufactured by laser powder bed fusion

Contact Info

Product

Resources

About