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Network models are used as efficient representation of materials with complex, interconnected locally one-dimensional structures. They typically accurately capture the mechanical properties of a material, while substantially reducing…

Numerical Analysis · Mathematics 2025-12-16 Morgan Görtz , Moritz Hauck , Axel Målqvist , Andreas Rupp , Lucia Swoboda

In this paper we consider a mathematical model which describes the equilibrium of two elastic rods attached to a nonlinear spring. We derive the variational formulation of the model which is in the form of an elliptic quasivariational…

Numerical Analysis · Mathematics 2023-09-11 Anna Ochal , Wiktor Prządka , Mircea Sofonea , Domingo A. Tarzia

We use backward error analysis for differential equations to obtain modified or distorted equations describing the behaviour of the Newmark scheme applied to the transient structural dynamics equation. Based on the newly derived distorted…

Numerical Analysis · Mathematics 2024-11-12 Donát M. Takács , Tamás Fülöp

Interaction of corrugated steel plates with surrounding soil medium causes the investigation of seismic behavior of soil-steel structures to be complicated. Reviewing the available literature confirms the considerable scarceness in this…

Geophysics · Physics 2019-01-09 Ehssan Hoomaan , Morteza Esmaeili

Based on multiple simulation trajectories, which started from dispersively selected initial conformations, the weighted ensemble dynamics method is designed to robustly and systematically explore the hierarchical structure of complex…

Statistical Mechanics · Physics 2015-05-14 Linchen Gong , Xin Zhou

The task of modelling and forecasting a dynamical system is one of the oldest problems, and it remains challenging. Broadly, this task has two subtasks - extracting the full dynamical information from a partial observation; and then…

Dynamical Systems · Mathematics 2022-08-16 Tyrus Berry , Suddhasattwa Das

Dynamic substructuring (DS) methods encompass a range of techniques to decompose large structural systems into multiple coupled subsystems. This decomposition has the principle benefit of reducing computational time for dynamic simulation…

Computational Engineering, Finance, and Science · Computer Science 2020-07-01 Thomas Simpson , Dimitrios Giagopoulos , Vasilis Dertimanis , Eleni Chatzi

Non-linear dynamical systems represent a compact, flexible, and robust tool for reactive motion generation. The effectiveness of dynamical systems relies on their ability to accurately represent stable motions. Several approaches have been…

Robotics · Computer Science 2020-06-01 Matteo Saveriano

The Matrix Element Method (MEM) is a powerful method to extract information from measured events at collider experiments. Compared to multivariate techniques built on large sets of experimental data, the MEM does not rely on an…

High Energy Physics - Experiment · Physics 2021-04-07 Florian Bury , Christophe Delaere

This study presents a dynamic modeling approach for precipitation in electrolyte systems, focusing on the crystallization of an aromatic amine through continuous processes. A novel model, integrating equilibrium and crystallization…

Chemical Physics · Physics 2025-11-04 Niklas Kemmerling , Sergio Lucia

An isogeometric boundary element method for problems in elasticity is presented, which is based on an independent approximation for the geometry, traction and displacement field. This enables a flexible choice of refinement strategies,…

Numerical Analysis · Computer Science 2015-02-04 Benjamin Marussig , Jürgen Zechner , Gernot Beer , Thomas-Peter Fries

Constrained mechanical multibody systems arise in many important applications like robotics, vehicle and machinery dynamics and biomechanics of locomotion of humans. These systems are described by the Euler-Lagrange equations which are…

Numerical Analysis · Mathematics 2016-05-31 Brahim Benhammouda

Work presented in this paper describes a general algorithm and its finite element implementation for performing concurrent multiple sub-domain simulations in linear structural dynamics. Using this approach one can solve problems in which…

Numerical Analysis · Mathematics 2013-12-25 Tejas Ruparel , Azim Eskandarian , James Lee

This study introduces a novel approach for deriving the governing equations of the musculoskeletal system in the human body. The proposed formalism offers a framework to effectively incorporate the kinematic characteristics of biological…

Applied Physics · Physics 2023-07-26 Hossein Ehsani

The Numerical Assembly Technique is extended to investigate arbitrary planar frame structures with the focus on the computation of natural frequencies. This allows us to obtain highly accurate results without resorting to spatial…

Numerical Analysis · Mathematics 2022-04-26 Thomas Kramer , Michael Helmut Gfrerer

A new scheme for numerical integration of motion for classical systems composed of rigid polyatomic molecules is proposed. The scheme is based on a matrix representation of the rotational degrees of freedom. The equations of motion are…

Computational Physics · Physics 2009-10-31 Igor P. Omelyan

When modeling complex robot systems such as branched robots, whose kinematic structures are a tree, current techniques often require modeling the whole structure from scratch, even when partial models for the branches are available. This…

Robotics · Computer Science 2024-07-23 Frederico Fernandes Afonso Silva , Bruno Vilhena Adorno

Autonomy and electrification in automotive control systems have made modern-day powertrains one of the most complex cyber-physical systems. This paper presents a benchmark algorithm to quantify the performance of complex automotive systems…

Systems and Control · Electrical Eng. & Systems 2021-06-04 Hamza Anwar , Aashrith Vishwanath , Apurva Chunodkar , Qadeer Ahmed

We consider the deformation of a geological structure with non-intersecting faults that can be represented by a layered system of viscoelastic bodies satisfying rate- and state-depending friction conditions along the common interfaces. We…

Numerical Analysis · Mathematics 2022-01-17 Carsten Gräser , Ralf Kornhuber , Joscha Podlesny

The paper is concerned with the development of efficient and accurate solution procedures for the isogeometric boundary element method (BEM) when applied to problems that contain inclusions that have elastic properties different to the…

Numerical Analysis · Mathematics 2020-10-28 Gernot Beer , Eugenio Ruocco , Christian Duenser , Vincenzo Mallardo