Solution Approaches to the Dynamic, Population Balance Modeling of Grinding with Transport
The solution of the dynamic population balance model (PBM) with transport is problematic. The fact that the dynamic PBM model equation solution to the Inverse Problem for grinding systems is degenerate or ...
M. C. Williams, T. P. Meloy, M. Tarshan
doaj +1 more source
Enhancing Specific Stiffness of Nano‐Architected Materials Through Generative AI and Active Learning
A structure‐centric generative framework searches voxelated design space directly, coupling a variational autoencoder with multi‐objective optimization and active learning to progressively expand the validated design domain. The discovered nano‐architectures, realized as pyrolytic carbon by two‐photon lithography, deliver 18–23% higher stiffness and 26–
Jinwook Yeo +4 more
wiley +1 more source
Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections
The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
wiley +1 more source
Solution of a discontinuous inverse nodal problem on a finite interval
The inverse nodal problem is studied for the boundary value problem: \[ -y''+(q(x)+l(l+1)x^{-2})y=\lambda y,\; x\in[1,a],\tag{B} \] \(y'(1)=y'(a)+Hy(a)=0,\) where \(a>1,\, l\geq 0,\,q\in L(1,a)\). The potential \(p(x):=q(x)+l(l+1)x^{-2}\) is integrable on \([1,a]\), i.e. (B) is a classical Sturm-Liouville problem.
Hikmet Koyunbakan, Etibar S. Panakhov
openaire +2 more sources
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
An inverse problem of reconstructing the electrical and geometrical parameters characterising airframe structures and connector interfaces [PDF]
This article is concerned with the detection of environmental ageing in adhesively bonded structures used in the aircraft industry. Using a transmission line approach a forward model for the reflection coefficients is constructed and is shown to have an ...
Mackay, C. +4 more
core +4 more sources
Using the Bees Algorithm with the Boundary Elements Method to Solve the Inverse Problem of Transient Heat Conduction [PDF]
: In this paper, a new population-based search called the Bees Algorithm (BA) is presented to estimate the time-dependent heat transfer coefficient and the corresponding heat flux at the boundaries of a two-dimensional body subjected to transient heat ...
Mohsen Ardakani, Seyd Mohammad MizanAdl
doaj
Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning
This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
wiley +1 more source
On inverse nodal problem for Sturm-Liouville operator [PDF]
In this paper we propose a solution to a certain inverse Sturm-Liouville problem, which allows one to determine the potential and the boundary conditions of the differential operator on the values of one of the differentials of Gateaux zeroes x k,n (q ) ∈ (0, ) of some eigenfunction ^ y (x, q, n (q )) for an increment w from the set W.
openaire +1 more source
A mechanics‐informed machine learning framework enables mechanics field prediction and inverse design of tendon–bone enthesis‐inspired functionally graded materials that reduce stress concentration and failure risk. By coupling multiscale finite element modeling, convolutional field prediction, and kernel‐based inverse design, the study uncovers ...
Zhangke Yang, Zhaoxu Meng
wiley +1 more source

