scholarly journals Lagrangian formulation of Omori’s law and analogy with the cosmic Big Rip

2020 ◽  
Vol 80 (5) ◽  
Author(s):  
Valerio Faraoni
Keyword(s):  
Lagrangian Formulation ◽  
Omori’S Law ◽  
Big Rip

Universe can surf the Big Rip

Nature ◽  
2003 ◽  
Author(s):  
Philip Ball
Keyword(s):  
Big Rip

Unsteady drag consideration in stochastic Eulerian-Lagrangian formulation of two-phase flow

AIAA Journal ◽  
1999 ◽  
Vol 37 ◽  
pp. 434-442
Author(s):  
Keh-Chin Chang ◽  
Jinn-Cherng Yang
Keyword(s):  
Two Phase Flow ◽  
Lagrangian Formulation ◽  
Phase Flow ◽  
Two Phase

scholarly journals BRST approach to Lagrangian formulation for mixed-symmetry fermionic higher-spin fields

2007 ◽  
Vol 2007 (10) ◽  
pp. 040-040 ◽  
Author(s):  
Pavel Yu Moshin ◽  
Alexander A Reshetnyak
Keyword(s):  
Lagrangian Formulation ◽  
Mixed Symmetry ◽  
Higher Spin ◽  
Spin Fields ◽  
Higher Spin Fields

Examination and comparison of different methods to model closed loop kinematic chains using Lagrangian formulation with cut joint, clearance joint constraint and elastic joint approaches

2021 ◽  
Vol 160 ◽  
pp. 104294 ◽  
Author(s):  
Filipe Marques ◽  
Ivo Roupa ◽  
Miguel T. Silva ◽  
Paulo Flores ◽  
Hamid M. Lankarani
Keyword(s):  
Closed Loop ◽  
Lagrangian Formulation ◽  
Joint Clearance ◽  
Kinematic Chains ◽  
Elastic Joint ◽  
Clearance Joint

A fully Lagrangian formulation for fluid-structure interaction problems with free-surface flows and fracturing solids

2021 ◽  
Vol 250 ◽  
pp. 106532
Author(s):  
Alejandro Cornejo ◽  
Alessandro Franci ◽  
Francisco Zárate ◽  
Eugenio Oñate
Keyword(s):  
Free Surface ◽  
Fluid Structure Interaction ◽  
Free Surface Flows ◽  
Lagrangian Formulation ◽  
Surface Flows ◽  
Fluid Structure ◽  
Structure Interaction

scholarly journals Approaching the self-dual point of the sinh-Gordon model

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Robert Konik ◽  
Márton Lájer ◽  
Giuseppe Mussardo
Keyword(s):  
Small Volume ◽  
Zero Mode ◽  
Form Factors ◽  
Lagrangian Formulation ◽  
The Self ◽  
Quantum Mechanical ◽  
Exact Form ◽  
Coupling Constant ◽  
Self Duality ◽  
Hyperbolic Cosine

Abstract One of the most striking but mysterious properties of the sinh-Gordon model (ShG) is the b → 1/b self-duality of its S-matrix, of which there is no trace in its Lagrangian formulation. Here b is the coupling appearing in the model’s eponymous hyperbolic cosine present in its Lagrangian, cosh(bϕ). In this paper we develop truncated spectrum methods (TSMs) for studying the sinh-Gordon model at a finite volume as we vary the coupling constant. We obtain the expected results for b ≪ 1 and intermediate values of b, but as the self-dual point b = 1 is approached, the basic application of the TSM to the ShG breaks down. We find that the TSM gives results with a strong cutoff Ec dependence, which disappears according only to a very slow power law in Ec. Standard renormalization group strategies — whether they be numerical or analytic — also fail to improve upon matters here. We thus explore three strategies to address the basic limitations of the TSM in the vicinity of b = 1. In the first, we focus on the small-volume spectrum. We attempt to understand how much of the physics of the ShG is encoded in the zero mode part of its Hamiltonian, in essence how ‘quantum mechanical’ vs ‘quantum field theoretic’ the problem is. In the second, we identify the divergencies present in perturbation theory and perform their resummation using a supra-Borel approximate. In the third approach, we use the exact form factors of the model to treat the ShG at one value of b as a perturbation of a ShG at a different coupling. In the light of this work, we argue that the strong coupling phase b > 1 of the Lagrangian formulation of model may be different from what is naïvely inferred from its S-matrix. In particular, we present an argument that the theory is massless for b > 1.

scholarly journals The quantum realm of the ``Little Sibling'' of the Big Rip singularity

2015 ◽  
Vol 2015 (11) ◽  
pp. 044-044 ◽  
Author(s):  
Imanol Albarran ◽  
Mariam Bouhmadi-López ◽  
Francisco Cabral ◽  
Prado Martín-Moruno
Keyword(s):  
Big Rip

Multibody Dynamic Model of Web Guiding System With Moving Web

2010 ◽  
Vol 132 (5) ◽  
Author(s):  
Lei Yu ◽  
Zhihua Zhao ◽  
Gexue Ren
Keyword(s):  
Dynamic Model ◽  
Lateral Displacement ◽  
Dynamical Behavior ◽  
Contact Forces ◽  
Lagrangian Formulation ◽  
Pi Control ◽  
Control Law ◽  
Reference Surface ◽  
Multibody Dynamic ◽  
Guiding System

In this paper, a multibody dynamic model is established to simulate the dynamics and control of moving web with its guiding system, where the term moving web is used to describe thin materials, which are manufactured and processed in a continuous, flexible strip form. In contrast with available researches based on Eulerian description and beam assumption, webs are described by Lagrangian formulation with the absolute nodal coordinate formulation (ANCF) plate element, which is based on Kirchhoff’s assumptions that material normals to the original reference surface remain straight and normal to the deformed reference surface, and the nonlinear elasticity theory that accounts for large displacement, large rotation, and large deformation. The rollers and guiding mechanism are modeled as rigid bodies. The distributed frictional contact forces between rollers and web are considered by Hertz contact model and are evaluated by Gauss quadrature. The proportional integral (PI) control law for web guiding is also embedded in the multibody model. A series of simulations on a typical web-guide system is carried out using the multibody dynamics approach for web guiding system presented in this study. System dynamical information, for example, lateral displacement, stress distribution, and driving moment for web guiding, are obtained from simulations. Parameter sensitivity analysis illustrates the effect of influence variables and effectiveness of the PI control law for lateral movement control of web that are verified under different gains. The present Lagrangian formulation of web element, i.e., ANCF element, is not only capable of describing the large movement and deformation but also easily adapted to capture the distributed contact forces between web and rollers. The dynamical behavior of the moving web can be accurately described by a small number of ANCF thin plate elements. Simulations carried out in this paper show that the present approach is an effective method to assess the design of web guiding system with easily available desktop computers.

Element-based lagrangian formulation for large-deformation analysis

1988 ◽  
Vol 30 (4) ◽  
pp. 967-974 ◽  
Author(s):  
W. Kanok-Nukulchai ◽  
W.K. Wong
Keyword(s):  
Large Deformation ◽  
Lagrangian Formulation ◽  
Deformation Analysis ◽  
Large Deformation Analysis
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