New suitable finite element interpolation function is presented for solving unsteady problems, which provides a new and rigorous theoretical basis for the full time-space FE analysis of these problems.
Finally we show for more than half of the infinite series that a presentation for the fundamental group of the space of regular orbits ofW can be derived from our presentations.
We consider 3-parametric polynomialsPμ*(x; q, t, s) which replace theAn-series interpolation Macdonald polynomialsPμ*(x; q, t) for theBCn-type root system.
This is done using a descending series associated to the complex structure and the Borel spectral sequences for the corresponding set of holomorphic fibrations.
In this paper is presented a method of finding the. reactive moments distributed along the clamped edges of a rectangular plate by means of double sine series. Plate with two opposite edges clamped and the other two opposite edges simply supported, and plate with all four edges fixed are used as illustrative examples; the load being uniformly disdributed. The results we obtained are certainly exactly the same that we had obtained by using the method of superposition. However, the method by the double series...
The axisymmetric problems of a thick-walled elastic circular cylindrical shell with finite length are studied. A three-dimensional elasticity solution for such a shell is formulated in the form of the sum of two infinite series. They are made to satisfy all prescribed boundary conditions. Due to orthogonality property, the coefficient in each term of either series can be expressed in a linear function of the coefficients of the other series. Approximate numerical solution may be obtained from the truncated ...
In this paper, Zhang-Wei's asymptotic solution for the T lke's equation of axial symmetric toroidal shell in complex variable is extended to the solution of second order, both for centrifugal and for axial loads. Power series solution is also obtained. Both solutions are used in the calculation of C-type bellows. A comparision of calculated results shows close coincidence with each other for the whole range of ■ except at the vicinity of ■ =0, while for small ■ there exists small difference between them.