Geometric Integration for the Linear-Gradient System: Geometric integration for the linear-gradient system

Authors: Nan Lu, Yushun Wang, Yajuan Sun

Source: SIAM Journal on Scientific Computing. 47:A46-A71

Subject Terms: Poisson integrator, dimension-extended transformation, Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics, implicit-explicit method, Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics, Computational methods for problems pertaining to mechanics of particles and systems, Numerical methods for Hamiltonian systems including symplectic integrators, energy-law-preserving method, extended equation

File Description: application/xml

Adaptive Interface-PINNs (AdaI-PINNs): An Efficient Physics-Informed Neural Networks Framework for Interface Problems: Adaptive interface-PINNs (AdaI-PINNs): an efficient physics-informed neural networks framework for interface problems

Authors: Roy, Sumanta, Annavarapu, Chandrasekhar, Roy, Pratanu, Sarma, Antareep Kumar

Source: Communications in Computational Physics. 37:603-622

Subject Terms: FOS: Computer and information sciences, I-PINNs, Computer Science - Machine Learning, physics-informed machine learning, Learning and adaptive systems in artificial intelligence, interface problems, AdaI-PINNs, Computational methods for problems pertaining to mechanics of particles and systems, Machine Learning (cs.LG), domain decomposition, machine learning, Structured surfaces and interfaces, coexistent phases, PINN, Interface problems, diffusion-limited aggregation arising in equilibrium statistical mechanics, Partial differential equations and systems of partial differential equations with constant coefficients

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Access URL: http://arxiv.org/abs/2406.04626

Dynamics and stability analysis of rolling mill system during variable gauge rolling

Authors: Wang J., Brusa E., Peng Y., Zhao X., Wang M., Delprete C., Gastaldi C.

Source: Meccanica. 58:2439-2454

Subject Terms: Runge-Kutta scheme, nonlinear vibration, dynamic rolling force, amplitude-frequency response, hydraulic cylinder, Forced motions for nonlinear problems in mechanics, incremental harmonic balance method, Computational methods for problems pertaining to mechanics of particles and systems, Bifurcations and instability for nonlinear problems in mechanics

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/7797124
https://doi.org/10.1007/s11012-023-01735-5
https://hdl.handle.net/11583/2984351
https://doi.org/10.1007/s11012-023-01735-5
https://link.springer.com/article/10.1007/s11012-023-01735-5

Random response of a two-degree-of-freedom rotational vibration energy harvester

Authors: Yanping Tian, Bo Tang, Zonghui Wang, Xinpei Lu, Ming Xu

Source: Acta Mechanica. 234:5551-5564

Subject Terms: random excitation, Random vibrations in mechanics of particles and systems, Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics, quasi-non-integrable Hamilton system, Forced motions for nonlinear problems in mechanics, stochastic averaging, Computational methods for problems pertaining to mechanics of particles and systems, steady-state probabilistic density function, stationary mean-square response, Monte Carlo simulation

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An efficient discrete algorithm in dynamic modeling of large-deformation flexible mechanisms

Authors: Mahdi Bamdad, Mahdi Feyzollahzadeh

Source: Multibody System Dynamics. 59:123-141

Subject Terms: 0209 industrial biotechnology, flexible joint, Dynamics of multibody systems, transfer-matrix method, 0103 physical sciences, flexible link, computation time, discrete model, Adams, 02 engineering and technology, Computational methods for problems pertaining to mechanics of particles and systems, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/7758120
https://doi.org/10.1007/s11044-023-09880-1

Hybrid search method for Zermelo’s navigation problem

Authors: Precioso, Daniel^{Aff1, Aff3, IDs4031402402756w_cor1}, Milson, Robert, Bu, Louis, Menchions, Yvonne, Gómez-Ullate, David

Source: Computational and Applied Mathematics. 43(4)

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

Authors: Shupeng Sun, Yuepeng Feng, Weiming Feng, Lun Liu

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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Controlling the vertical shift of an isolated body based on the vibration of nonlinear systems with asymmetric damping forces

Authors: Zhihong Li, Jialing Yao, Youlin Xu

Source: Meccanica. 57:1173-1191

Subject Terms: 0203 mechanical engineering, approximate analytical solution, 0103 physical sciences, Control of mechanical systems, Runge-Kutta method, Forced motions for nonlinear problems in mechanics, incremental harmonic balance method, 02 engineering and technology, Computational methods for problems pertaining to mechanics of particles and systems, piecewise smooth isolation system, active actuator control, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/7724451
https://doi.org/10.1007/s11012-022-01496-7

Discretized boundary-oriented progressive learning method for predicting global basins of attraction with few data

Authors: Zigang Li, Shumeng Ma, Jun Jiang, Wenjie Cheng, Xuhui Cui

Source: Physica D: Nonlinear Phenomena. 470:134350

Subject Terms: coupled Duffing oscillator, Learning and adaptive systems in artificial intelligence, pattern recognition training, Forced motions for nonlinear problems in mechanics, global dynamics, space discretization, Computational methods for problems pertaining to mechanics of particles and systems

File Description: application/xml

Reducing vibration isolation frequency in an X-shaped two-stage nonlinear system

Authors: Yu, Yongheng, Zhang, Xuecong, Li, Fengming

Source: Communications in Nonlinear Science and Numerical Simulation. 135:108080

Subject Terms: Floquet theory, Stability for nonlinear problems in mechanics, experimental validation, Control of mechanical systems, Forced motions for nonlinear problems in mechanics, transmissibility curve, incremental harmonic balance method, Computational methods for problems pertaining to mechanics of particles and systems, stability, adaptive control, Experimental work for problems pertaining to mechanics of particles and systems

File Description: application/xml

Access URL: https://zbmath.org/7861505
https://doi.org/10.1016/j.cnsns.2024.108080

Blue-Sky Catastrophic Bifurcations Behind Emergence and Disappearance of Quasiperiodic Rubbing Oscillations in a Piecewise Smooth Rotor–Stator System: Blue-sky catastrophic bifurcations behind emergence and disappearance of quasiperiodic rubbing oscillations in a piecewise smooth rotor-stator system

Authors: Shan Fan, Ling Hong, Jun Jiang

Source: International Journal of Bifurcation and Chaos. 32

Subject Terms: Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics, Quasi-periodic motions and invariant tori for nonlinear problems in mechanics, nonlinear normal mode, 02 engineering and technology, Computational methods for problems pertaining to mechanics of particles and systems, 01 natural sciences, Bifurcations and instability for nonlinear problems in mechanics, inverse torus doubling, multigrid point mapping method, 0203 mechanical engineering, chaotic attractor, chaotic crisis, 0103 physical sciences, Hopf bifurcation

File Description: application/xml

Access URL: https://zbmath.org/7847216
https://doi.org/10.1142/s0218127422502212

Experiences in Teaching Multibody Dynamics: Experiences in teaching multibody dynamics

Authors: CAVACECE M, PENNESTRÌ E, SINATRA, Rosario

Contributors: Pennestri', E, Cavacece, M, Sinatra, R

Source: Multibody System Dynamics. 13:363-369

Subject Terms: 0209 industrial biotechnology, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of particles and systems, teaching methodologies, 02 engineering and technology, Computational methods for problems pertaining to mechanics of particles and systems, 01 natural sciences, Engineering education, Settore ING-IND/13 - MECCANICA APPLICATA ALLE MACCHINE, Dynamics of multibody systems, multibody dynamics, 0103 physical sciences, Multibody dynamics, Teaching methodologies

File Description: application/xml; application/pdf

Access URL: https://blogs.solidworks.com/teacher/wp-content/uploads/sites/3/multibody-dynamics-in-education.pdf
https://art.torvergata.it/handle/2108/52950
http://blogs.solidworks.com/teacher/wp-content/uploads/sites/3/multibody-dynamics-in-education.pdf
https://link.springer.com/article/10.1007/s11044-005-0723-z
https://core.ac.uk/display/53827984
https://hdl.handle.net/2108/52950
https://link.springer.com/article/10.1007/s11044-005-0723-z
https://doi.org/10.1007/s11044-005-0723-z
https://hdl.handle.net/11580/8738
https://link.springer.com/article/10.1007/s11044-005-0723-z
https://doi.org/10.1007/s11044-005-0723-z
https://hdl.handle.net/11580/102487
https://hdl.handle.net/20.500.11769/92885
https://hdl.handle.net/20.500.11769/7450

Symbolic–Numeric Indirect Method for Solving Optimal Control Problems for Large Multibody Systems: The Time-Optimal Racing Vehicle Example

Authors: Bertolazzi, Enrico, Biral, Francesco, Da Lio, Mauro

Source: Multibody System Dynamics. 13:233-252

Subject Terms: 0209 industrial biotechnology, Dynamics of multibody systems, boundary value problem, Control of mechanical systems, Software, source code, etc. for problems pertaining to calculus of variations and optimal control, 02 engineering and technology, Computational methods for problems pertaining to mechanics of particles and systems, Applications of optimal control and differential games, Software, source code, etc. for problems pertaining to mechanics of particles and systems, finite difference method, affine invariant Newton scheme

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007%2Fs11044-005-3987-4
https://www.sid.ir/En/Journal/ViewPaper.aspx?ID=308526
https://link.springer.com/content/pdf/10.1007/s11044-005-3987-4.pdf
https://hdl.handle.net/11572/72815
https://doi.org/10.1007/s11044-005-3987-4
https://hdl.handle.net/11572/75368
http://www.dem.ist.utl.pt/Multibody2003/

TRANSPORT IN DYNAMICAL ASTRONOMY AND MULTIBODY PROBLEMS: Transport in dynamical astronomy and multibody problems

Authors: Dellnitz, Michael, Junge, Oliver, Koon, Wang Sang, Lekien, Francois, Lo, Martin W., Marsden, Jerrold E., Padberg, Kathrin, Preis, Robert, Ross, Shane D., Thiere, Bianca

Source: International Journal of Bifurcation and Chaos. 15:699-727

Subject Terms: invariant manifolds, graph partitioning, lobe dynamics, three-body system, Dynamical systems in classical and celestial mechanics, dynamical systems, set-oriented methods, Computational methods for problems pertaining to mechanics of particles and systems, 01 natural sciences, \(n\)-body problems, Three-body problem, Celestial mechanics, 0103 physical sciences, invariant manifold, almost invariant sets, transport rates

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Access URL: http://www.cds.caltech.edu/~marsden/bib/2005/07-DeJuKoLeLoMaPaPrRoTh2005/DeJuKoLeLoMaPaPrRoTh2005.pdf
https://zbmath.org/2208179
https://doi.org/10.1142/s0218127405012545
https://ui.adsabs.harvard.edu/abs/2006mcds.book....3D/abstract

An Attempt at the Classification of Energy Decaying Schemes for Structural and Multibody Dynamics: An attempt at the classification of energy decaying schemes for structural and multibody dynamics

Authors: BOTTASSO, CARLO LUIGI, TRAINELLI, LORENZO

Source: Multibody System Dynamics. 12:173-185

Subject Terms: discrete energy bound, Dynamics of multibody systems, nonlinear dynamics, multibody dynamics, energy preserving/decaying schemes, high frequency damping, finite element method, 0211 other engineering and technologies, 02 engineering and technology, Computational methods for problems pertaining to mechanics of particles and systems, temporal discretization

File Description: application/xml; application/pdf

Access URL: https://re.public.polimi.it/handle/11311/548482
https://link.springer.com/article/10.1023/B%3AMUBO.0000044418.23751.fe
https://hdl.handle.net/11311/257952

A Symbolic Approach for Automatic Generation of the Equations of Motion of Multibody Systems: A symbolic approach for automatic generation of the equations of motion of multibody systems

Authors: LOT, ROBERTO, DA LIO M.

Source: Multibody System Dynamics. 12:147-172

Subject Terms: Maple package 'MBSymba', 0209 industrial biotechnology, 0203 mechanical engineering, Dynamics of multibody systems, 4. Education, motorcycle, 02 engineering and technology, Computational methods for problems pertaining to mechanics of particles and systems, stability, Symbolic computation and algebraic computation, second-order Lagrange equations

File Description: application/xml

Access URL: https://link.springer.com/article/10.1023%2FB%3AMUBO.0000044319.63215.22
https://link.springer.com/10.1023/B:MUBO.0000044319.63215.22
https://hdl.handle.net/11572/78328
http://www.dem.ist.utl.pt/Multibody2003/
https://hdl.handle.net/11572/73422
https://hdl.handle.net/11577/2444907
https://hdl.handle.net/11577/1351710

Sliding Contact between Freefrom Surfaces: Sliding contact between free-form surfaces

Authors: RIGHETTINI, PAOLO, TASORA, ALESSANDRO

Contributors: Tasora, Alessandro, P., Righettini

Source: Multibody System Dynamics. 10:239-262

Subject Terms: 0203 mechanical engineering, Dynamics of multibody systems, 0103 physical sciences, Collision, Contact, Multibody systems, Surfaces, 02 engineering and technology, Computational methods for problems pertaining to mechanics of particles and systems, augmented Lagrangian approach, lock formulation, 16. Peace & justice, 01 natural sciences

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/2002016
https://doi.org/10.1023/a:1025958712127
https://link.springer.com/article/10.1023/A:1025958712127
https://re.public.polimi.it/handle/11311/247045
https://hdl.handle.net/10446/242974
https://doi.org/10.1023/A:1025958712127
https://hdl.handle.net/11311/247045
https://hdl.handle.net/11311/258360

Gravity effects of polyhedral bodies with linearly varying density

Authors: D'Urso, Maria Grazia

Source: Celestial Mechanics and Dynamical Astronomy. 120:349-372

Subject Terms: gradient, Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics, gravitational potential, Celestial mechanics, Computational methods for problems pertaining to mechanics of particles and systems, polyhedra, eros, singularities, 01 natural sciences, 0105 earth and related environmental sciences

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/6420780
https://doi.org/10.1007/s10569-014-9578-z
https://link.springer.com/content/pdf/10.1007%2Fs10569-014-9578-z.pdf
https://link.springer.com/article/10.1007/s10569-014-9578-z
https://ui.adsabs.harvard.edu/abs/2014CeMDA.120..349D/abstract
https://hdl.handle.net/10446/157817
https://doi.org/10.1007/s10569-014-9578-z

On the Stability of the Terrestrial Planets as Models for Exosolar Planetary Systems: On the stability of the terrestrial planets as models for exosolar planetary systems

Authors: Rudolf Dvorak, Áron Süli

Source: Modern Celestial Mechanics: From Theory to Applications ISBN: 9789048160785

Subject Terms: 103003 Astronomy, escaping planets, 103003 Astronomie, Stability for nonlinear problems in mechanics, 13. Climate action, Celestial mechanics, Computational methods for problems pertaining to mechanics of particles and systems, stability, planetary system, exosystems, 10. No inequality

File Description: application/xml

Access URL: https://ucrisportal.univie.ac.at/de/publications/bdc1a182-29ee-42aa-8aa3-76a10382962f
https://link.springer.com/content/pdf/10.1023/A:1020126612456.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=679543
https://ui.adsabs.harvard.edu/abs/2002CeMDA..83...77D/abstract
https://rd.springer.com/chapter/10.1007/978-94-017-2304-6_6
https://link.springer.com/chapter/10.1007%2F978-94-017-2304-6_6

Non-Existence of the Modified First Integral by Symplectic Integration Methods II: Kepler Problem: Non-existence of the modified first integral by symplectic integration methods. II: Kepler problem

Authors: Haruo Yoshida

Source: Modern Celestial Mechanics: From Theory to Applications ISBN: 9789048160785

Subject Terms: Two-body problems, Runge-Lenz vector, modified Hamiltonian, Computational methods for problems pertaining to mechanics of particles and systems, symplectic integration method, Numerical methods for Hamiltonian systems including symplectic integrators

File Description: application/xml

Access URL: https://zbmath.org/1906521
https://doi.org/10.1023/a:1020158625544
https://rd.springer.com/chapter/10.1007/978-94-017-2304-6_21
https://www.infona.pl/resource/bwmeta1.element.springer-48f25c09-8784-3149-874e-f21c3d8cf569
https://link.springer.com/article/10.1023/A:1020158625544
https://dialnet.unirioja.es/servlet/articulo?codigo=679558
http://ui.adsabs.harvard.edu/abs/2002CeMDA..83..355Y/abstract