Robust Linearization and Eigenvalue Analysis of General Complex Constrained Multibody Systems
ABSTRACT The derivation of linearized equations and subsequent eigenvalue analysis is the basis for tasks such as frequency‐domain response analysis, control design, and stability assessment for mechanical systems. However, for general multibody systems with redundant or nonholonomic constraints, practical challenges persist in achieving numerically ...
Zhiwen Xiao, Gexue Ren
wiley +1 more source
Convergence of the weak K\"ahler-Ricci Flow on manifolds of general type
We study the K\"ahler-Ricci flow on compact K\"ahler manifolds whose canonical bundle is big. We show that the normalized K\"ahler-Ricci flow has long time existence in the viscosity sense, is continuous in a Zariski open set, and converges to the unique
Tô, Tat Dat
core +1 more source
Using Thermodynamics and Microstructure to Mitigate Overfitting in Pellet Reduction Models
A in time and space discretized, thermodynamically sound model for direct reduction of iron oxide pellets is described. The number of fitting parameters is drastically reduced compared to existing models. Nevertheless, fitting kinetic parameters based on conversion degree data alone leads to overfitting, which can be mitigated by correlating the ...
Ömer K. Büyükuslu +4 more
wiley +1 more source
Development and Validation of a Next‐Generation Mechanistic Model of the Electric Arc Furnace
This study presents a next‐generation mechanistic model of the electric arc furnace (EAF). It describes equations for all crucial processes appearing during the steel‐recycling process in an EAF, i.e., thermal, mass, and chemical. The model was parameterized and validated using industrial EAF data.
Vito Logar, Igor Škrjanc
wiley +1 more source
ABSTRACT Generalisation is a crucial aspect of deep learning, enabling models to perform well on unseen data. Currently, most optimisers that improve generalisation typically suffer from efficiency bottlenecks. This paper proposes a double‐integration‐enhanced stochastic gradient descent (DIESGD) optimiser, which treats the negative gradient as an ...
Ting Li +3 more
wiley +1 more source
Explicit integrable systems on two dimensional manifolds with a cubic first integral [PDF]
A few years ago Selivanova gave an existence proof for some integrable models, in fact geodesic flows on two dimensional manifolds, with a cubic first integral.
Valent, Galliano
core +3 more sources
Reconstructing Old Chinese *‐ts Using Han‐Time Material
Abstract Baxter & Sagart (2014b) reconstruct *‐Vt‐s on the basis of Middle Chinese reflexes in ‐jH (from some OC *‐s) coupled with either etymological or graphic connections to words in Middle Chinese ‐t. This approach, while perfectly sound, can suffer from lack of etymological or graphic data, leading to missed reconstructions. Since Old Chinese *‐ts
Julien Baley
wiley +1 more source
Harmonic solutions to perturbations of periodic separated variables ODEs on manifolds
Consider the differential equation \[ x'=a(t)g(x), \] where \(a(t)\) is a continuous scalar \(T\)-periodic function with nonzero average and \(g(x)\) is a continuous tangent field on a smooth manifold without boundary. The author studies perturbations of the form \[ x'=a(t)g(x)+\lambda f(t,x), \] where the field \(f(t,x)\) is \(T\)-periodic in \(t ...
openaire +3 more sources
A unified approach to compute foliations, inertial manifolds, and tracking initial conditions [PDF]
Several algorithms are presented for the accurate computation of the leaves in the foliation of an ODE near a hyperbolic fixed point. They are variations of a contraction mapping method in [25] to compute inertial manifolds, which represents a particular
Chung, Y. -M., Jolly, M. S.
core
Layered Radial Aquifer Model for Open‐Pit Mine Closure with Managed Aquifer Recharge
A radially symmetric layered aquifer model (unconfined–aquitard–confined) coupled to a pit‐lake water balance is developed to screen managed aquifer recharge (MAR) after open‐pit mine closure. Dimensionless type curves quantify trade‐offs between pit recovery time, pumping/recycling, and unconfined mounding as functions of aquifer time scales, aquitard
Behzad Ataie Ashtiani
wiley +1 more source

