Search Results - "Mathematical modeling or simulation for problems pertaining to mechanics of particles and systems"

One-dimensional inelastic collapse of four particles: asymmetric collision sequences and spherical billiard reduction

Authors: Dolmaire, Théophile Hübner-Rosenau, Eleni

Source: Nonlinearity. 38:055011

Subject Terms: inelastic collapse, Mathematical modeling or simulation for problems pertaining to mechanics of particles and systems, \(\omega\)-limit sets, hard ball systems, FOS: Physical sciences, Dynamical Systems (math.DS), Mathematical Physics (math-ph), dynamical systems, Bifurcations and instability for nonlinear problems in mechanics, Dynamical Systems, \(n\)-body problems, billiard systems, Equilibria and periodic trajectories for nonlinear problems in mechanics, FOS: Mathematics, inelastic hard spheres, particle systems, Mathematical Physics

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Access URL: http://arxiv.org/abs/2411.10324
https://zbmath.org/8036739
https://doi.org/10.1088/1361-6544/adc9ee

Dynamic modeling and simulation of a post-capture spacecraft with X-shape isolation system

Authors: Shupeng Sun Yuepeng Feng Weiming Feng et al.

Source: Meccanica. 57:2493-2515

Subject Terms: Mathematical modeling or simulation for problems pertaining to mechanics of particles and systems, structural vibration, Lagrange equations, linear quadratic control, 02 engineering and technology, Computational methods for problems pertaining to mechanics of particles and systems, attitude change, 0201 civil engineering, Free motion of a rigid body, Vibrations in dynamical problems in solid mechanics, 0203 mechanical engineering, Control of mechanical systems, orbit motion, Orbital mechanics, hybrid coordinate method

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Online multi-fidelity data aggregation via hierarchical neural network

Authors: Chunlong Hai Jiazhen Wang Shimin Guo et al.

Source: Computer Methods in Applied Mechanics and Engineering. 437:117795

Subject Terms: multi-fidelity data aggregation, Mathematical modeling or simulation for problems pertaining to mechanics of particles and systems, active learning, hierarchical neural network, Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs, online sampling, General aerodynamics and subsonic flows, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Artificial neural networks and deep learning

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Access URL: https://zbmath.org/8013267
https://doi.org/10.1016/j.cma.2025.117795

Efficient non-probabilistic parallel model updating based on analytical correlation propagation formula and derivative-aware deep neural network metamodel

Authors: Jiang Mo Wang-Ji Yan Ka-Veng Yuen et al.

Source: Computer Methods in Applied Mechanics and Engineering. 433:117490

Subject Terms: Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, Finite element methods applied to problems in solid mechanics, Mathematical modeling or simulation for problems pertaining to mechanics of particles and systems, correlation propagation, neural network, derivative-aware metamodel, block coordinate descent, model updating, non-probabilistic uncertainty, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs

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A Dynamic Modeling Method for Soft Pneumatic Robotic Arms Considering Both Geometric Nonlinearity and Visco-Hyperelasticity: A dynamic modeling method for soft pneumatic robotic arms considering both geometric nonlinearity and visco-hyperelasticity

Authors: Tao Wang Xi Wang Guoqiang Fu et al.

Source: International Journal of Structural Stability and Dynamics. 24

Subject Terms: Robot dynamics and control of rigid bodies, 0203 mechanical engineering, Mathematical modeling or simulation for problems pertaining to mechanics of particles and systems, geometric and material nonlinearity, dynamic modeling method, principle of virtual power, soft robotic arm, 02 engineering and technology, spring-damper-fluid equivalent idea, 0201 civil engineering

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Access URL: https://zbmath.org/7945975
https://doi.org/10.1142/s0219455424502717

Neural networks for the approximation of Euler's elastica

Authors: Elena Celledoni Ergys Çokaj Andrea Leone et al.

Source: Computer Methods in Applied Mechanics and Engineering

Subject Terms: Mathematical modeling or simulation for problems pertaining to mechanics of particles and systems, Numerical Analysis (math.NA), Numerical methods for Hamiltonian systems including symplectic integrators, neural networks, supervised learning, variational problem, 01 natural sciences, geometric mechanics, planar Euler's elastica, Variational methods for problems in mechanics, Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics

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Access URL: http://arxiv.org/abs/2312.00644
https://hdl.handle.net/11250/3175526