Inertial force term approximations for the use of Global Modal Parameterization for planar mechanisms

2010 ◽  
Vol 85 (4) ◽  
pp. 518-536 ◽  
Author(s):  
F. Naets ◽  
G. H. K. Heirman ◽  
D. Vandepitte ◽  
W. Desmet
Keyword(s):  
Inertial Force ◽  
Force Term ◽  
Planar Mechanisms ◽  
Global Modal Parameterization

Thermomechanical continuum representation of atomistic deformation at arbitrary size scales

2005 ◽  
Vol 461 (2063) ◽  
pp. 3437-3472 ◽  
Author(s):  
Min Zhou
Keyword(s):  
Heat Conduction ◽  
Inertial Force ◽  
The Other ◽  
Structural Deformation ◽  
Force Term ◽  
Time Resolved ◽  
Arbitrary Size ◽  
Equivalent Continuum ◽  
Size Scales ◽  
The Continuum

A thermomechanical equivalent continuum (TMEC) theory is developed for the deformation of atomistic particle systems at arbitrary size scales and under fully dynamic conditions. This theory allows continuum interpretation of molecular dynamics (MD) model results and derivation of thermomechanical continuum constitutive properties from MD results under conditions of general macroscopically transient thermomechanical deformations, which are not analysed by statistical mechanics. When specialized to the more specific conditions of non-deforming systems in macroscopic equilibrium, this theory yields certain results that are identical to, or consistent with, the results of statistical mechanics. Coupled thermomechanical continuum equations and constitutive behaviour are derived using MD concepts in a time-resolved manner. This theory is a further advancement from the purely mechanical equivalent continuum (EC) theory developed recently. Within the meaning of classical mechanics, the TMEC theory establishes the ultimate atomic origin of coupled thermomechanical deformation phenomena at the continuum level. The analysis is based on the decomposition of atomic particle velocity into a structural deformation part and a thermal oscillation part. On one hand, balance of momentum at the structural level yields fields of stress, body force, traction, mass density and deformation as they appear to a macroscopic observer. On the other hand, balance of momentum for the thermal motions relative to the macroscopically measured structure yields the fields of heat flux and temperature. These quantities are cast in a manner as to conform to the continuum phenomenological equation for heat conduction and generation, yielding scale-sensitive characterizations of specific heat, thermal conductivity and thermal relaxation time. The structural deformation and the thermal conduction processes are coupled because the equations for structural deformation and for heat conduction are two different forms of the same balance of momentum equation at the fully time-resolved atomic level. This coupling occurs through an inertial force term in each equation induced by the other process. For the structural deformation equation, the inertial force term induced by thermal oscillations of atoms gives rise to the phenomenological dependence of deformation on temperature. For the heat equation, the inertial force term induced by structural deformation takes the phenomenological form of a heat source.

A High Immersive Telexistence System of the Moving Object with Full Circumference Image and Inertial Force Presentation

2017 ◽  
Vol 137 (9) ◽  
pp. 1192-1200
Author(s):  
Tatsuya Hayakawa ◽  
Daijiro Yoshimura ◽  
Mitsuyuki Saito ◽  
Yasuhide Kobayashi ◽  
Wataru Wakita
Keyword(s):  
Inertial Force ◽  
Moving Object

SAFE LOADING ON THE FOUNDATION OF CONSTRUCTIONS SUBJECT TO SEISMIC INERTIAL FORCE

2019 ◽  
Vol 9 (5) ◽  
pp. 56-62
Author(s):  
Khayat Rasulov ◽  
◽  
Rustam Rasulov ◽  
Mansurbek Babajanov
Keyword(s):  
Inertial Force ◽  
Safe Loading

scholarly journals Inertial property of oscillatory flow for pulse injection in porous media

2021 ◽  
pp. 014459872199978
Author(s):  
Bingyu Ji ◽  
Yingfu He ◽  
Yongqiang Tang ◽  
Shu Yang
Keyword(s):  
Capillary Number ◽  
Pressure Pulse ◽  
Two Phase Flow ◽  
Inertial Force ◽  
Inertia Force ◽  
Phase Flow ◽  
High Permeability ◽  
Two Phase ◽  
Apparent Permeability ◽  
Inertial Property

The low-frequency pulse wave makes the velocity of the fluid in the reservoir fluctuate dramatically, which results in a remarkable inertia force. The Darcy’s law was inapplicable to the pulse flow with strong effect of inertial force. In this paper, the non-Darcy flow equation and the calculation method of capillary number of pressure pulse displacement are established. The pressure pulse experiments of single-phase and two- phase flow are carried out. The results show that the periodic change of velocity can decrease the seepage resistance and enhance apparent permeability by generating the inertial force. The higher the pulse frequency improves the apparent permeability by enhancing influence of inertial force. The increase of apparent permeability of high permeability core is larger than that of low permeability core, which indicates that inertial force is more prominent in high permeability reservoir. For the water-oil two-phase flow, inertia force makes the relative permeability curve move towards right, and the equal permeability point becomes higher. In other words, with the increase of capillary number, part of residual oil is activated, and the displacement efficiency is improved.

scholarly journals Development of a new method for assessing otolith function in mice using three-dimensional binocular analysis of the otolith-ocular reflex

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Shotaro Harada ◽  
Takao Imai ◽  
Yasumitsu Takimoto ◽  
Yumi Ohta ◽  
Takashi Sato ◽  
...  
Keyword(s):  
Eye Movement ◽  
Three Dimensional ◽  
Vertical Component ◽  
Inertial Force ◽  
Linear Acceleration ◽  
The Body ◽  
Body Axis ◽  
Gravitational Acceleration ◽  
Ocular Reflex ◽  
Translational Movement

AbstractIn the interaural direction, translational linear acceleration is loaded during lateral translational movement and gravitational acceleration is loaded during lateral tilting movement. These two types of acceleration induce eye movements via two kinds of otolith-ocular reflexes to compensate for movement and maintain clear vision: horizontal eye movement during translational movement, and torsional eye movement (torsion) during tilting movement. Although the two types of acceleration cannot be discriminated, the two otolith-ocular reflexes can distinguish them effectively. In the current study, we tested whether lateral-eyed mice exhibit both of these otolith-ocular reflexes. In addition, we propose a new index for assessing the otolith-ocular reflex in mice. During lateral translational movement, mice did not show appropriate horizontal eye movement, but exhibited unnecessary vertical torsion-like eye movement that compensated for the angle between the body axis and gravito-inertial acceleration (GIA; i.e., the sum of gravity and inertial force due to movement) by interpreting GIA as gravity. Using the new index (amplitude of vertical component of eye movement)/(angle between body axis and GIA), the mouse otolith-ocular reflex can be assessed without determining whether the otolith-ocular reflex is induced during translational movement or during tilting movement.

Synthesis of Planar Mechanisms

2016 ◽  
pp. 331-365
Author(s):  
Antonio Simón Mata ◽  
Alex Bataller Torras ◽  
Juan Antonio Cabrera Carrillo ◽  
Francisco Ezquerro Juanco ◽  
Antonio Jesús Guerra Fernández ◽  
...  
Keyword(s):  
Planar Mechanisms

scholarly journals Added mass of a circular cylinder oscillating in a free stream

2013 ◽  
Vol 469 (2156) ◽  
pp. 20130135 ◽  
Author(s):  
Efstathios Konstantinidis
Keyword(s):  
Circular Cylinder ◽  
Free Stream ◽  
Transverse Velocity ◽  
Inertial Force ◽  
Added Mass ◽  
Stream Velocity ◽  
Virtual Experiment ◽  
Classical Formulation ◽  
Fundamental Understanding ◽  
Two Dimensional Flow

The fundamental understanding of the added mass phenomenon associated with the motion of a solid body relative to a fluid is revisited. This paper focuses on the two-dimensional flow around a circular cylinder oscillating transversely in a free stream. A virtual experiment reveals that the classical approach to this problem leads to a paradox. The inertial force is derived afresh based on analysis of the motion in a frame of reference attached to the cylinder centroid, which overcomes the paradox in the classical formulation. It is shown that the inertial force depends not only on the acceleration of the cylinder per se , but also on the relative motion between body and fluid embodied in a parameter called alpha, α , which represents the ratio of the maximum transverse velocity of the cylinder to the free-stream velocity; the induced inertial force is directionally varying and non-harmonic in time depended on the alpha parameter. It is further shown that the component of the inertial force in the transverse direction is negligible for α <0.1, increases quadratically for α <0.5, and tends asymptotically to the classical result as , i.e. in still fluid.

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