Love and Rayleigh Correction Terms and Padé Approximants | Zendy

Igor V. Andrianov | Zendy; Jan Awrejcewicz | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Love and Rayleigh Correction Terms and Padé Approximants

Author(s) -

Igor V. Andrianov,

Jan Awrejcewicz

Publication year - 2007

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2007/94035

Subject(s) - vibration , rayleigh scattering , mathematics , mathematical analysis , partial differential equation , type (biology) , string (physics) , beam (structure) , differential equation , order (exchange) , physics , structural engineering , engineering , optics , mathematical physics , acoustics , ecology , biology , finance , economics

Simplified theories governing behavior of beams and plates keeping the fundamental characteristics of the being modeled objects are proposed and discussed. By simplification, we mean decrease of order of partial differential equations (PDEs) with respect to spatial coordinates. Our approach is used for both discrete and continuous models. An advantage of Padé approximation is addressed. First part of this report deals with approximation of a beam equation by string-like one, and plate equation by membrane-like one. Second part is devoted to the construction of Love-type theory for rods vibrations and Rayleigh-type theory for beams vibrations

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research