منابع مشابه
Elliptic integral solutions of spatial elastica of a thin straight rod bent under concentrated terminal forces
In this article we solve in closed form a system of nonlinear differential equations modelling the elastica in space of a thin, flexible, straight rod, loaded by a constant thrust at its free end. Common linearizations of strength of materials are of course not applicable any way, because we analyze great deformations, even if not so large to go off the linear elasticity range. By passing to cy...
متن کاملA Thick Hollow Sphere Compressed by Equal and Opposite Concentrated Axial Loads: An Asymptotic Solution
We consider an elastic hollow sphere with midsurface radius R and thickness 2h which is subjected to two equal and opposite concentrated loads acting at the ends of a diameter. The three-dimensional linear elasticity solution to this problem consists of (i) a narrow Saint Venant component extending a distance of order O(h) from each load point, (ii) a wider “edge bending” component extending a ...
متن کاملTheoretical Study of Fluid Forces
Along with the developments of high-speed and highperformance turbomachines, there has been increasing occurrence of rotational speeds higher than the first critical speed. Under these circumstances, turbomachines may suffer from severe vibration and rotor whirl caused by fluid-dynamic forces. As possible causes of whirling instabilities, fluid forces on journal bearings and seals are well know...
متن کاملStudy of the Formation of Stable High Concentrated Monochloramine Solutions
Disinfection is a very important step in the water treatment independent on the water application. Chlorination is the practice adopted in many industries, but chlorine can cause environmental damage and health hazards in the industry. A less aggressive agent to the environment is desirable to be found. The objective of this work is to prepare stable monochloramine solutions without any residua...
متن کاملInequalities on time-concentrated or frequency-concentrated functions
We obtain an inequality on a measure of the spread in time of periodic functions that are concentrated in frequency, i.e. all but a fixed finite number of Fourier coefficients vanish with meansquared error up to . We characterize an extremal function and give an asymptotic formula for the measure of spread of this extremal function as approaches 0. We also consider the corresponding problem for...
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ژورنال
عنوان ژورنال: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 1990
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an/1990240304031