Derivation of an Efficient Non-Prismatic Thin Curved Beam Element Using Basic Displacement Functions | Zendy

Ahmad Shahba | Zendy; Reza Attarnejad | Zendy; Mehran Eslaminia | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Derivation of an Efficient Non-Prismatic Thin Curved Beam Element Using Basic Displacement Functions

Author(s) -

Ahmad Shahba,

Reza Attarnejad,

Mehran Eslaminia

Publication year - 2012

Publication title -

shock and vibration

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.418

H-Index - 45

eISSN - 1875-9203

pISSN - 1070-9622

DOI - 10.1155/2012/786191

Subject(s) - finite element method , displacement (psychology) , beam (structure) , element (criminal law) , bernoulli's principle , displacement field , point (geometry) , vibration , euler's formula , transverse vibration , limiting , mathematical analysis , structural engineering , mathematics , geometry , transverse plane , physics , engineering , mechanical engineering , psychology , quantum mechanics , political science , law , psychotherapist , thermodynamics

The efficiency and accuracy of the elements proposed by the Finite Element Method (FEM) considerably depend on the interpolating functions, namely shape functions, used to formulate the displacement field within an element. In this paper, a new insight is proposed for derivation of elements from a mechanical point of view. Special functions namely Basic Displacement Functions (BDFs) are introduced which hold pure structural foundations. Following basic principles of structural mechanics, it is shown that exact shape functions for non-prismatic thin curved beams could be derived in terms of BDFs. Performing a limiting study, it is observed that the new curved beam element successfully becomes the straight Euler-Bernoulli beam element. Carrying out numerical examples, it is shown that the element provides exact static deformations. Finally efficiency of the method in free vibration analysis is verified through several examples. The results are in good agreement with those in the literature.

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