Center of Gravity, Center of Mass,Centroids

Author(s):  
Dietmar Gross ◽  
Wolfgang Ehlers ◽  
Peter Wriggers ◽  
Jörg Schröder ◽  
Ralf Müller
2009 ◽  
pp. 87-114
Author(s):  
Dietmar Gross ◽  
Werner Hauger ◽  
Jörg Schröder ◽  
Wolfgang A. Wall ◽  
Nimal Rajapakse

2013 ◽  
pp. 89-116
Author(s):  
Dietmar Gross ◽  
Werner Hauger ◽  
Jörg Schröder ◽  
Wolfgang A. Wall ◽  
Nimal Rajapakse

1938 ◽  
Vol 6 (2) ◽  
pp. 106-106 ◽  
Author(s):  
Michael Ference ◽  
Alvin M. Weinberg

2012 ◽  
Vol 27 (2) ◽  
pp. 74-84 ◽  
Author(s):  
Donna Krasnow ◽  
M Virginia Wilmerding ◽  
Shane Stecyk ◽  
Matthew Wyon ◽  
Yiannis Koutedakis

The purpose of this study was to examine grand battement devant at the barre, in the center, and traveling through space. The primary focus was to consider weight transfer in three conditions: from two feet to one foot for the barre and center conditions, and from one foot to the other foot in traveling. Forty female dancers volunteered (mean age 30.0 ± 13.0 yrs) and were placed in three groups: beginner (n = 12), intermediate (n = 14), and advanced (n = 14). Data were collected with a 7-camera Vicon motion capture system using a Plug-in Gait Full Body Marker set and with two Kistler force plates. Dancers executed five grand battement devant in each of three conditions in randomized order: at the barre in 1st position, in the center in 1st position, and traveling through space. Four variables were investigated: center of gravity of the full trunk, center of gravity of the pelvis, center of gravity of the upper trunk, and center of mass. Data were analyzed in three intervals—stance to battement initiation (STN to GBI), initiation to battement peak (GBI to GBP), and peak to end (GBP to END)—and in the x-axis and y-axis. The main effect condition was significant for all four variables in both x-axis and y-axis (p<0.001). There were no significant differences for training and no significant condition 3 training interactions. Condition was significant for all three intervals (STN to GBI, GBI to GBP, and GBP to END) for all four variables in both axes (p<0.01). Dance educators might consider the importance of allocating sufficient time in dance practice to each of the three conditions—barre, center, and traveling—to ensure development of a variety of motor strategies for weight transfer.


2011 ◽  
Vol 243-249 ◽  
pp. 1549-1552
Author(s):  
Shi Jie Wang ◽  
Xun Zhu

Body rotating bridges are mostly rotation system in balance, whose gravity center are basically located in the rotation axis of turntable. In order to ensure bridges’ swivel construction successfully accomplished, the structural center of gravity should be made clear before the rotation. In the past, the structural center of gravity was usually ascertained in the method of mathematics, but the tedious calculation couldn’t get results with enough accuracy. In this paper, structural gravity center of cable-stayed bridge is calculated in the method of CAD and finite element, whose process and result are proved handy and accurate calculation. Taking Sui Fenhe cable-stayed bridge as an example, its theoretical eccentricity is 1.3cm.


Paleobiology ◽  
1977 ◽  
Vol 3 (2) ◽  
pp. 196-206 ◽  
Author(s):  
Robert M. Linsley

Five generalizations derived from the shell form of prosobranch gastropods are developed. (1) A univalve of more than one volution whose aperture lies in a plane that passes through the axis of coiling does not live with the aperture parallel to the substrate. (2) A univalve of more than one volution whose aperture lies in a plane that is tangential to the body whorl does live with the plane of the aperture parallel to the substrate. (3) Gastropods with tangential apertures, when extended, support the shell so that the center of mass of the shell and its contents is over the midline of the cephalopedal mass; this balancing of the shell may be accomplished either by regulatory detorsion, by inclination or by a combination thereof, to keep the center of gravity of the shell as low as possible. (4) Angulations or re-entrants in the gastropod aperture are usually indicative of inhalent or exhalent areas; inhalent areas are directed as far anteriorly as possible. (5) Gastropods having elongated apertures possess only a single gill and develop a water current through the mantle cavity from anterior to posterior along the long axis of the aperture; this axis is subparallel to the anterior-posterior axis of the foot.These generalizations are then used as the basis for some deductive interpretations of behavioral modes of Paleozoic Gastropoda.


2011 ◽  
Vol 354-355 ◽  
pp. 127-132
Author(s):  
Ya Dong Ning ◽  
Yong Hong Zhang

Population, economy, energy and environment are the four essential factors of sustainable development. The dynamic variation track, geography center and their inherent mechanism can be described by Gravity center theory. Based on the statistics from 1985 to 2009, centers of gravity for energy production, consumption and CO2 emission in China were studied in this paper. The results showed that centers of gravity for energy production, consumption and CO2 emission in China are changing from north to south. The center of gravity for energy production has a more apparent westward character while the southward character of energy consumption is notable.


2021 ◽  
Vol 9 ◽  
Author(s):  
María E. Cabrera-Domínguez ◽  
Antonia Domínguez-Reyes ◽  
Manuel Pabón-Carrasco ◽  
Ana J. Pérez-Belloso ◽  
Manuel Coheña-Jiménez ◽  
...  

Background and Objective: This study analyzes the possibility that Stomatognathic and Postural systems are related by muscle chains. Malocclusion may influence the posture, contact between the foot and the ground, center of mass, footprint or vice-versa. This study aimed to verify whether there is a relationship between dental occlusion and podal system.Materials and Methods: A cross-cutting, descriptive study was carried out on 409 children (222 boys and 187 girls) between 8 and 14 years old. Dental occlusion was assessed on the sagittal plane (Angle's classification) the contact between the foot and the ground and the center of mass were evaluated using a stabilometric platform.Results: There was a statistically significant relationship between the plantigrade phase, the contact surface area and center of gravity. There was a prevalence of molar and canine Angle's class II malocclusion. In molar class II, an anterior center of gravity was predominant, in class I it was centered and in class III, it was posterior. There was significant correlation between malocclusions and the FPI (foot posture index) of the left foot and the height of the scaphoid in the right foot (P &lt; 0.001).Conclusions: Some authors agree with our results. There is still much uncertainty in terms of showing a relationship between both systems. In addition, there is scarce scientific evidence on the topic. Some kind of relationship between the two systems has been proven. Studies that evaluate a group of subjects in a longitudinal manner are necessary to enable the changes taking place in both systems to be defined.


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