Results 41 to 50 of about 487,508 (331)
DYNAMICAL MODE OF CASE STUDY ON MASS-SPRING SYSTEM ON A MASSLESS CART: COMPARED ANALYTICAL AND NUMERICAL SOLUTIONS [PDF]
Journal of Mechanics of Continua and Mathematical SciencesIn this research, we study the dynamical behaviors of a mass-spring system on a massless moving cart. The Lagrangian of the system was first constructed, which resulted in obtaining the Euler-Lagrange equation (ELE) of the system.
Rabab Jarrar +4 more
doaj +1 more source
, 2017 We introduce LRT, a new Lagrangian-based ReachTube computation algorithm that conservatively approximates the set of reachable states of a nonlinear dynamical system. LRT makes use of the Cauchy-Green stretching factor (SF), which is derived from an over-
A Donzé +21 more
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Transient Euler-Lagrange/DEM simulation of stent thrombosis
Current Directions in Biomedical Engineering, 2016 Stent implantation is the treatment of choice for cardiovascular diseases. By introduction of biodegradable thick strut stents investigations of thrombosis formation is one focus of research.
Stiehm Michael +3 more
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The oscillator's model with broken symmetry
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 The equations of the oscillator motion are considered. The exact solutions are given in the form of exponents with an additional parameter that characterizes the asymmetry of the oscillations.
Dmitry B Volov
doaj +1 more source
Cyclic Lagrangian Submanifolds and Lagrangian Fibrations
Tokyo Journal of Mathematics, 2005 Recall that a symplectic manifold \((M,\omega)\) is called prequantizable if there exists a nonnegative number \(\gamma_\omega\) such that the period group \(\Gamma_\omega= \{[\omega](A)= \int_A \omega: A\in H_2(M,\mathbb{Z})\}\subset \mathbb{R}\) is of the form \(\Gamma_\omega= \gamma_\omega\cdot\mathbb{Z}\).
openaire +3 more sources
Equation on the basis of one-dimensional chaotic dynamics
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 Modified Klein–Gordon–Fock equations were obtained on the basis of one-dimensional chaotic dynamics and the original Lagrangians were found. The concepts of $m$-exponential map and groups with broken symmetry are introduced.
Dmitry Borisovich Volov
doaj +1 more source
Applied Sciences, 2021 Numerical models are associated with uncertainties that can be reduced through data assimilation (DA). Lower costs have driven a recent tendency to use Lagrangian instruments such as drifters and floats to obtain information about water bodies.
Neda Mardani +5 more
doaj +1 more source
Dirac-Born -Infeld Equations [PDF]
, 1999 Properties of the Dirac-Born-Infeld Lagrangian analogous to those of the Nambu-Goto String are analysed. In particular the Lagrangian is shown to be constant or zero on the space of solutions of the equations of motion if the Lagrangian is taken to any ...
Born +6 more
core +2 more sources
Lagrangians of Hypergraphs [PDF]
Combinatorics, Probability and Computing, 2002 How large can the Lagrangian of an r-graph with m edges be? Frankl and Füredi [1] conjectured that the r-graph of size m formed by taking the first m sets in the colex ordering of N(r) has the largest Lagrangian of all r-graphs of size m. We prove the first ‘interesting’ case of this conjecture, namely that the 3-graph with (t3) edges and ...
openaire +2 more sources
Advanced Engineering Materials, EarlyView.The work demonstrates that strategic wall‐thickness grading in diamond triply periodic minimal surface lattices enables precise tuning of deformation and failure behavior under compression. Different gradation patterns guide how and where the structure collapses, improving energy absorption or promoting controlled brittle failure.
Giovanni Rizza +3 more
wiley +1 more source