Linear oscillation of the system of two inter-connected satellites about the position of equilibrium for small eccentricity near the main resonance

1990 ◽  
Vol 174 (2) ◽  
pp. 235-239
Author(s):  
Sachindra Kumar Sinha ◽  
R. B. Singh
Keyword(s):  
Main Resonance ◽  
Small Eccentricity ◽  
Linear Oscillation

Geometry of the bifurcations of the normalized reduced Henon–Heiles family

1982 ◽  
Vol 382 (1783) ◽  
pp. 361-371 ◽  
Keyword(s):  
Bifurcation Diagram ◽  
Main Resonance ◽  
Fourth Degree ◽  
Global Geometry ◽  
Geometric Explanation ◽  
Hamiltonian Functions

This paper deals with the global geometry of the bifurcations of a family of Hamiltonian functions that arises from normalizing the Henon–Heiles family to fourth-degree terms and then performing a reduction. This gives a geometric explanation of the bifurcation diagram for the main resonance in the model of axisymmetric galaxies of Braun and Verhulst.

Designing Compressed Reinforcement Cross-Sections by Curvature and Nominal Stiffness Methods

2015 ◽  
Vol 797 ◽  
pp. 69-78
Author(s):  
Krzysztof Kamiński ◽  
Piotr Nowicki
Keyword(s):  
Reinforced Concrete ◽  
Comparative Analysis ◽  
Cross Sections ◽  
Concrete Columns ◽  
Computer Programs ◽  
Significant Issue ◽  
Reinforced Concrete Columns ◽  
Small Eccentricity ◽  
Standard Methods ◽  
Surface Reinforcement

The paper attempts to discuss the still significant issue of methods of design of the reinforced concrete columns according to PN-EN 1992-1-1:2008/A1:2015-03. Two algorithms of the dimensioning sections were developed according to two standard methods of dimensioning eccentrically compressed sections: the method of nominal stiffness (NS) and the method of nominal curvature (NC). Using both algorithms, computer programs in Excel were created. A comparative analysis of several examples of calculation were performed to compare the results of dimensioning of sections eccentrically compressed. The results obtained by the NC method give about 10% less surface reinforcement when loaded with big eccentricity and over 50% less when small eccentricity is applied.

Plane Wave Interaction with an Inhomogeneous Warm Plasma Column

1971 ◽  
Vol 49 (20) ◽  
pp. 2578-2588 ◽  
Author(s):  
Kanwal J. Parbhakar ◽  
Brian C. Gregory
Keyword(s):  
Electric Field ◽  
Electron Temperature ◽  
Plasma Column ◽  
Cold Plasma ◽  
Plane Electromagnetic Wave ◽  
Wave Interaction ◽  
Radial Electric Field ◽  
Main Resonance ◽  
At Resonance ◽  
Warm Plasma

The interaction of a plane electromagnetic wave with an inhomogeneous warm plasma column is studied as a boundary value problem using a wave matching method. The plasma is characterized by a uniform electron temperature T and a parabolic density distribution N00 (1 − αr2/α2), where N00 is the central line density, α the inhomogeneity parameter, and a the column radius. The coupled Maxwell's and first two moment equations, assuming scalar pressure, are solved numerically without the quasi-static assumption. The resonances cannot be characterized by a single parameter; the effects of α, T, and N00 are studied separately. The resonances are located by noting that the magnitude of the scattering coefficient is unity (for a unit amplitude incident wave) at resonance. The maxima in the scattering are associated with the maxima in the coupling.It is found that the dielectric or the main resonance is a reasonably good radiator, while the plasma wave resonances (Tonks–Dattner resonances) are rather poor radiators. A detailed analysis of the radial electric field inside the plasma indicates that the main resonance is essentially a cold plasma resonance. As for the resonant frequencies, our results are in good agreement with those of Parker, Nickel, and Gould.The radial electric field at resonance inside the plasma is very sensitive to electron temperature.For the main resonance the field distribution at low electron temperature approaches that of a uniform cold plasma at resonance.

scholarly journals Research on Concrete Columns Reinforced with New Developed High-Strength Steel under Eccentric Loading

2019 ◽  
Author(s):  
Yonghui Hou ◽  
Shuangyin Cao ◽  
Xiangyong Ni ◽  
Yizhu Li
Keyword(s):  
Yield Strength ◽  
Bearing Capacity ◽  
High Strength Steel ◽  
High Strength ◽  
Concrete Columns ◽  
Lower Amount ◽  
Transverse Reinforcement ◽  
Longitudinal Reinforcement ◽  
Small Eccentricity ◽  
Failure Patterns

The use of new developed high-strength steel in concrete members can reduce steel bars congestion and construction costs. This research aims to study the behavior of concrete columns reinforced with new developed high-strength steel under eccentric loading. Ten reinforced concrete columns were fabricated and tested. The test variables are transverse reinforcement amount and yield strength, eccentricity, and longitudinal reinforcement yield strength. The failure patterns are compression and tensile failure for columns subjected to small eccentricity and large eccentricity, respectively. The same level of post-peak deformability and ductility only can be obtained with lower amount of transverse reinforcement when high-strength transverse reinforcements are used in columns subjected to small eccentricity. The high-strength longitudinal reinforcement can improve bearing capacity and post-peak deformability of concrete columns. Besides, three different equivalent rectangular stress block (ERSB) parameters in predicting bearing capacity of columns with high-strength steel were discussed based on test and simulated results. It is concluded that the Code of GB 50010-2010 overestimates the bearing capacity of columns with high-strength steel, whereas bearing capacities computed using Codes of ACI 318-14 and CSA A23.3-04 agree well with test results.

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