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Table representation of search results timeline featuring number of search results per year.

Year Number of Results
1978 1
1981 1
1986 1
1988 1
1990 1
1991 1
1994 1
1997 1
1999 3
2000 6
2002 2
2003 1
2004 2
2005 2
2006 4
2007 4
2008 2
2009 2
2010 5
2011 3
2012 7
2013 4
2014 5
2015 5
2016 8
2017 3
2018 7
2019 7
2020 8
2021 9
2022 20
2023 17
2024 6

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140 results

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Page 1
A Lagrange-based generalised formulation for the equations of motion of simple walking models.
McGrath M, Howard D, Baker R. McGrath M, et al. J Biomech. 2017 Apr 11;55:139-143. doi: 10.1016/j.jbiomech.2017.02.013. Epub 2017 Feb 21. J Biomech. 2017. PMID: 28284668 Free article.
Simple 2D models of walking often approximate the human body to multi-link dynamic systems, where body segments are represented by rigid links connected by frictionless hinge joints. Performing forward dynamics on the equations of motion (EOM) of these systems can b …
Simple 2D models of walking often approximate the human body to multi-link dynamic systems, where body segments are represented by rigid lin …
Prediction method of cutting stability of roadheader based on the Newton-Lagrange mixed discrete method.
Zhu Y, Xie M, Wang H. Zhu Y, et al. Sci Rep. 2022 Dec 1;12(1):20760. doi: 10.1038/s41598-022-25409-6. Sci Rep. 2022. PMID: 36456702 Free PMC article.
In order to study the influence of the multiple interaction of coal and rock and the velocity effect of the cutting head on the flutter stability of the cantilever roadheader, considering the physical characteristics of coal and rock, the structural parameters of the cutting head …
In order to study the influence of the multiple interaction of coal and rock and the velocity effect of the cutting head on the flutter stab …
Purcell's swimmers in pairs.
Attanasi R, Zoppello M, Napoli G. Attanasi R, et al. Phys Rev E. 2024 Feb;109(2-1):024601. doi: 10.1103/PhysRevE.109.024601. Phys Rev E. 2024. PMID: 38491649
We investigate the effects of hydrodynamic interactions between microorganisms swimming at low Reynolds numbers, treating them as a control system. We employ Lie brackets analysis to examine the motion of two neighboring three-link swimmers interacting through the ambient …
We investigate the effects of hydrodynamic interactions between microorganisms swimming at low Reynolds numbers, treating them as a control …
An Intelligent Collaborative System for Robot Dynamics.
Guo J, Li D, He B, Ge SS. Guo J, et al. IEEE Trans Cybern. 2023 Oct;53(10):6211-6221. doi: 10.1109/TCYB.2022.3163440. Epub 2023 Sep 15. IEEE Trans Cybern. 2023. PMID: 35439157
In this article, we propose an intelligent collaborative system for robotic navigation and control (CNaC) governed by the Euler-Lagrange equation. First, a state reconstruction based on neural networks navigation (SR-NNN) law is designed to estimate the current posi …
In this article, we propose an intelligent collaborative system for robotic navigation and control (CNaC) governed by the Euler-Lagrange …
Discretized hierarchical equations of motion in mixed Liouville-Wigner space for two-dimensional vibrational spectroscopies of liquid water.
Takahashi H, Tanimura Y. Takahashi H, et al. J Chem Phys. 2023 Jan 28;158(4):044115. doi: 10.1063/5.0135725. J Chem Phys. 2023. PMID: 36725520 Free article.
A model of a bulk water system describing the vibrational motion of intramolecular and intermolecular modes is constructed, enabling analysis of its linear and nonlinear vibrational spectra as well as the energy transfer processes between the vibrational modes. ...To perfo …
A model of a bulk water system describing the vibrational motion of intramolecular and intermolecular modes is constructed, enabling …
A stochastic hierarchical model for low grade glioma evolution.
Buckwar E, Conte M, Meddah A. Buckwar E, et al. J Math Biol. 2023 May 5;86(6):89. doi: 10.1007/s00285-023-01909-5. J Math Biol. 2023. PMID: 37147527 Free PMC article.
A stochastic hierarchical model for the evolution of low grade gliomas is proposed. Starting with the description of cell motion using a piecewise diffusion Markov process (PDifMP) at the cellular level, we derive an equation for the density of the transition probab …
A stochastic hierarchical model for the evolution of low grade gliomas is proposed. Starting with the description of cell motion usin …
Research on wheel-legged robot based on LQR and ADRC.
Feng X, Liu S, Yuan Q, Xiao J, Zhao D. Feng X, et al. Sci Rep. 2023 Sep 13;13(1):15122. doi: 10.1038/s41598-023-41462-1. Sci Rep. 2023. PMID: 37704680 Free PMC article.
A seven-link leg structure is proposed through the comprehensive design of mechanism configuration, which decouples the balanced motion and leg motion of the robot. Based on the Euler-Lagrange method, the dynamic model of the system is obtained by applying th …
A seven-link leg structure is proposed through the comprehensive design of mechanism configuration, which decouples the balanced motion …
Dynamical analysis for the motion of a 2DOF spring pendulum on a Lissajous curve.
Amer A, Amer TS, El-Kafly HF. Amer A, et al. Sci Rep. 2023 Dec 5;13(1):21430. doi: 10.1038/s41598-023-48523-5. Sci Rep. 2023. PMID: 38052918 Free PMC article.
This study examines the motion of a spring pendulum with two degrees-of-freedom (DOF) in a plane as a vibrating system, in which its pivot point is constrained to move along a Lissajous curve. In light of the system's coordinates, the governing equations of motio …
This study examines the motion of a spring pendulum with two degrees-of-freedom (DOF) in a plane as a vibrating system, in which its …
Natural dynamical reduction of the three-body problem.
Kol B. Kol B. Celest Mech Dyn Astron. 2023;135(3):29. doi: 10.1007/s10569-023-10144-5. Epub 2023 May 15. Celest Mech Dyn Astron. 2023. PMID: 37215293 Free PMC article.
The orientation variables are shown to obey a dynamics analogous to the Euler equations for a rotating rigid body; only here the moments of inertia depend on the geometry variables, rather than being constant. The reduction rests on a novel symmetric solution to the center …
The orientation variables are shown to obey a dynamics analogous to the Euler equations for a rotating rigid body; only here the mome …
On the metrics and euler-lagrange equations of computational anatomy.
Miller MI, Trouve A, Younes L. Miller MI, et al. Annu Rev Biomed Eng. 2002;4:375-405. doi: 10.1146/annurev.bioeng.4.092101.125733. Epub 2002 Mar 22. Annu Rev Biomed Eng. 2002. PMID: 12117763 Review.
The variational problems specifying these metrics are reviewed along with their associated Euler-Lagrange equations. The Euler equations of motion derived by Arnold for the geodesics in the group of divergence-free volume-preserving diffeomorphisms of …
The variational problems specifying these metrics are reviewed along with their associated Euler-Lagrange equations. The Euler …
140 results