The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 29-512
Full Name: Tamaz Vashakmadze
Position: Professor
Age: ON
Sex: Male
Address: 75/03/04 I.Chavchavadze Av.
Country: GEORGIA
Tel: 99532 230918
Tel prefix: 99532
Fax: 99532912279
E-mail address: tamazvashakmadze@yahoo.com
Other E-mails: tsvasha@yahoo.com
Title of the Paper: Dynamical mathematical models for plates and numerical solution of boundary value and Cauchy problems for ordinary differential equations
Authors as they appear in the Paper: Tamaz Vashakmadze
Email addresses of all the authors: tamazvashakmadze@yahoo.com
Number of paper pages: 12
Abstract: In the first part there are created and justified new 2D with respect to spatial coordinates nonlinear dynamical mathematical models von Kármán-Mindlin-Reissner(KMR) type systems of partial differential equations for anisotropic porous, piezo, viscous elastic prismatic shells. Truesdell-Ciarlet unsolved( even in case of isotropic elastic plates) problem about physical soundness respect to von Kármán system is decided. There is find also new dynamical summand ( is Airy stress function) in the another equation of von Kármán type systems too. Thus the corresponding systems in this case contains Rayleigh-Lamb wave processes not only in the vertical, but also in the horizontal direction. For comlpleteness we also lead 2D Kirchhoff-Mindlin-Reissner type models for elastic plates of variable thickness. Then if KMR type systems are 1D one respect to spatial coordinates at first part for numerical solution of corresponding initial-boundary value problems we conside!
r the finite-element method using new class of B-type splain-functions. The exactness of such schemes depends from differential properties of unknown solutions: it has an arbitrary order of accuracy respect to a mesh width in case of sufficiently smoothness functions and Sard type best coefficients characterizing remainder proximate members on less smoothing class of admissible solutions. Corresponding dynamical systems represent evolutionary equations for which the methods of Harmonic Analyses are nonapplicable. In this connection for Cauchy problem suggests new schemes having arbitrary order of accuracy and based on Gauss-Hermite processes. This processes are new even for ordinary differential equations.
Keywords: Elasticity, Poro-viscosity, Plate, Physical soundness, Finite-difference scheme, Gauss quadrature and Hermite interpolation formula,Mesh width.
EXTENSION of the file: .doc
Special (Invited) Session: Nonlinear dynamical mathematical models for plates and numerical solution of Cauchy problems by Gauss-Hermite processes
Organizer of the Session: 615-217
How Did you learn about congress: v.v.melesko@tue.nl
IP ADDRESS: 94.43.159.169
