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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,…

Computational Engineering, Finance, and Science · Computer Science 2022-04-26 Prabhat Kumar

Optimization of large structures of multiple components is essential to many industries for minimizing mass, especially the design of aerospace vehicles. Optimizing a single primary load member independently of all other primary structures…

Numerical Analysis · Mathematics 2016-02-16 Alexander Lavin , Giovanni Greco , Kenjji Shimada

The paper focuses on the stiffness modeling of a new type of compliant manipulator and its non-linear behavior while interacting with the environment. The manipulator under study is a serial mechanical structure composed of dualtriangle…

Robotics · Computer Science 2021-08-03 Wanda Zhao , Anatol Pashkevich , Damien Chablat

Unsupervised learning aims at the discovery of hidden structure that drives the observations in the real world. It is essential for success in modern machine learning. Latent variable models are versatile in unsupervised learning and have…

Machine Learning · Computer Science 2016-06-13 Furong Huang

At elevated temperature environments, elastic structures experience a change of the stress-free state of the body that can strongly influence the optimal topology of the structure. This work presents level-set based topology optimization of…

Computational Engineering, Finance, and Science · Computer Science 2020-02-19 Hayoung Chung , Oded Amir , H. Alicia Kim

This paper describes new results linking constrained optimization theory and nonlinear contraction analysis. Generalizations of Lagrange parameters are derived based on projecting system dynamics on the tangent space of possibly…

Mathematical Physics · Physics 2012-06-11 Jonathan Soto , Jean-Jacques E. Slotine

This work presents a scalable computational framework for optimal design under uncertainty with application to multi-material insulation components of building envelopes. The forward model consists of a multi-phase thermo-mechanical model…

Optimization and Control · Mathematics 2023-04-20 Jingye Tan , Danial Faghihi

The cytoskeleton (CSK) plays an important role in many cell functions. Given the similarities between the mechanical behavior of tensegrity structures and the CSK, many studies have proposed different tensegrity-based models for simulating…

Applied Physics · Physics 2025-10-03 Ziran Zhou , Jacinto Ulloa , Guruswami Ravichandran , Jose E. Andrade

Conventional power system optimization framework is becoming less reliable and efficient due to the stability issues brought by the ever-increasing inverter-interfaced renewable penetration. To ensure system stability during system…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Zhongda Chu , Fei Teng

The discrete modeling of a large class of mechanical structures can be based on a stick-and-spring concept. We here present a stick-and-spring theory with potential application to the statics and the dynamics of such nanostructures as…

Materials Science · Physics 2013-07-16 Antonino Favata , Andrea Micheletti , Paolo Podio-Guidugli

In the current industry, the development of optimized mechanical components able to satisfy the customer requirements evolves quickly. Therefore, companies are asked for efficient solutions to improve their products in terms of stiffness…

Computational Engineering, Finance, and Science · Computer Science 2023-07-31 Rafael Merli , Antolín Martínez-Martínez , Juan José Ródenas , Marc Bosch-Galera , Enrique Nadal

The lunar surface is extremely harsh and current mineral processing and metal extraction technologies are not adequately equipped to address this environment. In this paper we review the metals available for extraction and conditions at the…

The energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid's bus angles to retain synchronism after the occurrence of a major fault. In this paper a…

Optimization and Control · Mathematics 2021-01-12 Tim Aschenbruck , Willem Esterhuizen , Stefan Streif

Lacking a universal law for granular flows across gravitational environments, fundamental processes such as hopper discharge remain vulnerable to failure in low gravity environments. A central challenge is clogging, the spontaneous arrest…

Soft Condensed Matter · Physics 2026-03-03 Oliver Gaida , Olfa D'Angelo , Jonathan E. Kollmer

Finite element model updating of a structure made of linear elastic materials is based on the solution of a minimization problem. The goal is to find some unknown parameters of the finite element model (elastic moduli, mass densities,…

Computational Engineering, Finance, and Science · Computer Science 2021-02-24 Maria Girardi , Cristina Padovani , Daniele Pellegrini , Leonardo Robol

The robust stability problem involves designing a controlled system which remains stable in the presence of modeling uncertainty. In this context, results known as small gain theorems are used to quantify the maximum amount of uncertainty…

Optimization and Control · Mathematics 2026-04-01 Gavin Glenn , Emma J. Reid

Topology optimization (TO) is a well-established methodology for structural design under user-defined constraints, e.g. minimum volume and maximum stiffness. However, such methods have traditionally been applied to static, deterministic…

Computational Physics · Physics 2025-03-28 Luis Irastorza-Valera , Luis Saucedo-Mora

Designing well-connected graphs is a fundamental problem that frequently arises in various contexts across science and engineering. The weighted number of spanning trees, as a connectivity measure, emerges in numerous problems and plays a…

Data Structures and Algorithms · Computer Science 2016-04-13 Kasra Khosoussi , Gaurav S. Sukhatme , Shoudong Huang , Gamini Dissanayake

Distribution grids constitute complex networks of lines often times reconfigured to minimize losses, balance loads, alleviate faults, or for maintenance purposes. Topology monitoring becomes a critical task for optimal grid scheduling.…

Optimization and Control · Mathematics 2017-07-24 Guido Cavraro , Vassilis Kekatos , Sriharsha Veeramachaneni

Gated Linear Units (GLUs) have become a common building block in modern foundation models. Bilinear layers drop the non-linearity in the "gate" but still have comparable performance to other GLUs. An attractive quality of bilinear layers is…

Machine Learning · Computer Science 2024-06-10 Michael T. Pearce , Thomas Dooms , Alice Rigg