Rotation of a rigid body in a resistant medium
Journal Title: Дослідження в математиці і механіці - Year 2014, Vol 19, Issue 3
Abstract
We study the rotational motion of a dynamically rigid body about the center of mass under the action of the resistance moment. Resistance moment assumes a linear function of the angular velocity. Numerical modeling of the curve locus angular momentum vector in three-dimensional space. Constructed criterion for the occurrence of different types of locus.
Authors and Affiliations
D. A. Rachinskaya
Conditions of existence and uniqueness of solutions for set-valued Volterra integral equation
In 1969, F. S. de Blasi and F. Iervolino examined set-valued differential equation (differential equation with derivative Hukuhara). In the future, many authors have studied the question of the existence, uniqueness and...
On exponential sums involving the divisor function over Z[𝑖]
We apply the van der Corput transform to investigate the sums of view Σ︀ 𝑟(𝑛)𝑔(𝑛)𝑒(𝑓(𝑛))), where 𝑟(𝑛) is the number of representations of 𝑛 as the sum of two squares of integer numbers. Such sums have been studied by M....
Axisymmetric torsion problem for the finite length multilayered cylinder
The exact solution of the axysimmetric elasticity problem on the torsion of the multilayered massive and hollow cylinder under an influence of the torsion loading at the lateral cylinder’ surface. The layers are in the c...
INVESTIGATION OF THE NON-STATIONARY THERMOELASTIC STATE OF SHELLS COMPLIANT TO SHEARS AND COMPRESSION
A linear boundary-value problem for thin shells compliant to shears and compression (a six-modal variant) is formulated. The key equations for determining the non-stationary thermoelastic state of the considered shells a...
To the theory of Hilbert space’s unconditional basis from values of entire vector-functions
Classes of entire functions of exponential type are considered in the article. They fulfil certain conditions related to theorems about unconditional basises from the values of entire vectorfunctions. In particular, for...