Bounds for the Critical Value of a Nonlinear Circular Membrane under Normal Pressure

Author(s):  
Jürgen Sprekels ◽  
Heinrich Voss
2012 ◽  
Vol 538-541 ◽  
pp. 2184-2189
Author(s):  
Zhao Xia Tong ◽  
Lun Chen ◽  
Shao Peng Zhou

The applied loads have a significant role on the filtration property of soil and geotextile systems. This paper investigates the effects of normal pressure on the clogging behavior of geotextile and gap-graded soil filtration systems. The experimental results show that the clogging potential increases as the normal pressure increases. And a critical value for the normal pressure may exist. When the applied normal pressure is less than the critical value, the normal pressure has significant effects on the filtration systems. However, when the applied normal pressure exceeds the critical value, effects of the normal pressure on the soil-geotextile filtration systems are minor.


2012 ◽  
Author(s):  
William J. Burns ◽  
August E. Shapiro ◽  
Yvonne Demsky ◽  
Kayreen A. Burns

1987 ◽  
Vol 48 (5) ◽  
pp. 809-819 ◽  
Author(s):  
J.L. Godet ◽  
M. Krauzman ◽  
J.P. Mathieu ◽  
H. Poulet ◽  
N. Toupry

1998 ◽  
Vol 536 ◽  
Author(s):  
N. Ozaki ◽  
Y. Ohno ◽  
S. Takeda ◽  
M. Hirata

AbstractWe have grown Si nanowhiskers on a Si{1111} surface via the vapor-liquid-solid (VLS) mechanism. The minimum diameter of the crystalline is 3nm and is close to the critical value for the effect of quantum confinement. We have found that many whiskers grow epitaxially or non-epitaxially on the substrate along the 〈112〉 direction as well as the 〈111〉 direction.In our growth procedure, we first deposited gold on a H-terminated Si{111} surface and prepared the molten catalysts of Au and Si at 500°C. Under the flow of high pressure silane gas, we have succeeded in producing the nanowhiskers without any extended defects. We present the details of the growth condition and discuss the growth mechanism of the nanowhiskers extending along the 〈112〉 direction.


1984 ◽  
Vol 12 (1) ◽  
pp. 44-63 ◽  
Author(s):  
Y. D. Kwon ◽  
D. C. Prevorsek

Abstract Radial tires for automobiles were subjected to high speed rolling under load on a testing wheel to determine the critical speeds at which standing waves started to form. Tires of different makes had significantly different critical speeds. The damping coefficient and mass per unit length of the tire wall were measured and a correlation between these properties and the observed critical speed of standing wave formation was sought through use of a circular membrane model. As expected from the model, desirably high critical speed calls for a high damping coefficient and a low mass per unit length of the tire wall. The damping coefficient is particularly important. Surprisingly, those tire walls that were reinforced with steel cord had higher damping coefficients than did those reinforced with polymeric cord. Although the individual steel filaments are elastic, the interfilament friction is higher in the steel cords than in the polymeric cords. A steel-reinforced tire wall also has a higher density per unit length. The damping coefficient is directly related to the mechanical loss in cyclic deformation and, hence, to the rolling resistance of a tire. The study shows that, in principle, it is more difficult to design a tire that is both fuel-efficient and free from standing waves when steel cord is used than when polymeric cords are used.


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