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Designing lightweight yet stiff structures that can withstand vibrations is a crucial task in structural optimization. Here, we present a novel framework for truss topology optimization under undamped harmonic oscillations. Our approach…

最优化与控制 · 数学 2025-04-21 Shenyuan Ma , Jakub Marecek , Vyacheslav Kungurtsev , Marek Tyburec

In this paper, stress-constrained topology optimization is applied to the design of compliant displacement magnification mechanisms. By formulating the objective function based on the concept of effective energy, it is not necessary to…

计算工程、金融与科学 · 计算机科学 2023-01-19 Ken Miyajima , Yuki Noguchi , Takayuki Yamada

In topology optimization, the treatment of stress constraints for very large scale problems has so far not been tractable due to the failure of robust agglomeration methods, i.e. their inability to accurately handle the locality of the…

计算工程、金融与科学 · 计算机科学 2020-12-23 Gustavo Assis da Silva , Niels Aage , André Teófilo Beck , Ole Sigmund

This paper presents a density-based topology optimization approach to design structures under self-weight load. Such loads change their magnitude and/or location as the topology optimization advances and pose several unique challenges,…

计算工程、金融与科学 · 计算机科学 2022-04-26 Prabhat Kumar

Although stress-constrained topology optimization has been extensively studied in structural design, the development of optimization frameworks to enable the creation of metamaterials with optimal mechanical performance is still an open…

计算工程、金融与科学 · 计算机科学 2026-02-24 Yanda Chen , Sebastian Rodriguez , Beatriz Moya , Francisco Chinesta

In topology optimization, the state of structures is typically obtained by numerically evaluating a discretized PDE-based model. The degrees of freedom of such a model can be partitioned in free and prescribed sets to define the boundary…

计算工程、金融与科学 · 计算机科学 2022-04-06 Stijn Koppen , Matthijs Langelaar , Fred van Keulen

Robust controllers that stabilize dynamical systems even under disturbances and noise are often formulated as solutions of nonsmooth, nonconvex optimization problems. While methods such as gradient sampling can handle the nonconvexity and…

最优化与控制 · 数学 2023-05-01 Steffen W. R. Werner , Michael L. Overton , Benjamin Peherstorfer

This paper presents a synthesis approach in a density-based topology optimization setting to design large deformation compliant mechanisms for inducing desired strains in biological tissues. The modelling is based on geometrical…

计算工程、金融与科学 · 计算机科学 2021-03-26 P. Kumar , C. Schmidleithner , N. B. Larsen , O. Sigmund

Efficient optimization of topology and raster angle has shown unprecedented enhancements in the mechanical properties of 3D printed materials. Topology optimization helps reduce the waste of raw material in the fabrication of 3D printed…

图形学 · 计算机科学 2022-06-08 Ahmed Moter , Mohamed Abdelhamid , Aleksander Czekanski

Structural subgrid stress models for large eddy simulation often allow for backscatter of energy from unresolved to resolved turbulent scales, but excessive model backscatter can eventually result in numerical instability. A commonly…

流体动力学 · 物理学 2022-12-02 Aviral Prakash , Kenneth E. Jansen , John A. Evans

This paper presents a computational framework for the robust stiffness design of hyperelastic structures at finite deformations subject to various uncertain sources. In particular, the loading, material properties, and geometry…

计算工程、金融与科学 · 计算机科学 2025-01-28 Nan Feng , Guodong Zhang , Kapil Khandelwal

Reliability-based design optimization (RBDO) provides a rational and sound framework for finding the optimal design while taking uncertainties into ac-count. The main issue in implementing RBDO methods, particularly stochastic simu-lation…

应用统计 · 统计学 2020-03-03 Wang-Sheng Liu , Sai Hung Cheung

Plasticity is inherent to many engineering materials such as metals. While it can degrade the load-carrying capacity of structures via material yielding, it can also protect structures through plastic energy dissipation. To fully harness…

计算工程、金融与科学 · 计算机科学 2025-02-05 Yingqi Jia , Xiaojia Shelly Zhang

Due to its broad applications in practice, the minimum spanning tree problem and its all kinds of variations have been studied extensively during the last decades, for which a host of efficient exact and heuristic algorithms have been…

最优化与控制 · 数学 2026-05-05 Yang Xu , Lianmin Zhang

Data compression is a popular technique for improving the efficiency of data processing workloads such as SQL queries and more recently, machine learning (ML) with classical batch gradient methods. But the efficacy of such ideas for…

机器学习 · 计算机科学 2019-01-23 Fengan Li , Lingjiao Chen , Yijing Zeng , Arun Kumar , Jeffrey F. Naughton , Jignesh M. Patel , Xi Wu

Topological mechanical metamaterials have demonstrated exotic and robust mechanical properties which led to promising engineering applications. One of such properties is the focusing of stress at the interface connecting domains of…

软凝聚态物质 · 物理学 2023-12-01 Harry Liu , Siddhartha Sarkar , A. Nafis Arafat , Ethan Stanifer , Stefano Gonella , Xiaoming Mao

Model-free data-driven computational mechanics replaces phenomenological constitutive functions by numerical simulations based on data sets of representative samples in stress-strain space. The distance of strain and stress pairs from the…

计算工程、金融与科学 · 计算机科学 2021-11-29 Kerem Ciftci , Klaus Hackl

Developing appropriate analytic-function-based constitutive models for new materials with nonlinear mechanical behavior is demanding. For such kinds of materials, it is more challenging to realize the integrated design from the collection…

最优化与控制 · 数学 2022-11-11 Yunhang Guo , Zongliang Du , Lubin Wang , Wen Meng , Tien Zhang , Ruiyi Su , Dongsheng Yang , Shan Tang , Xu Guo

This paper proposes a non-intrusive, data-driven reduced-order modeling framework for stochastic optimal control problems governed by partial differential equations. The control problem is formulated with a quadratic cost functional and…

最优化与控制 · 数学 2026-05-20 Lingling Ma , Jingyi Zhang , Qiuqi Li

Multidimensional scaling (MDS) is a popular dimensionality reduction techniques that has been widely used for network visualization and cooperative localization. However, the traditional stress minimization formulation of MDS necessitates…

最优化与控制 · 数学 2016-12-22 Ketan Rajawat , Sandeep Kumar