A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Analysis of Non-Prismatic Timoshenko Beams Using Basic Displacement Functions
Introducing the concept of Basic Displacement Functions (BDFs), an innovative method is presented which yields a mechanical based approach rather than a mathematical one for exact static analysis of arbitrarily tapered Timoshenko beams. Holding pure mechanical interpretations, BDFs are obtained using energy methods such as unit load method. It is shown that exact shape functions and consequently structural matrices could be derived in terms of BDFs. Unlike the most of finite element formulations which are based on prescribed displacement fields, the present finite element takes advantage of a flexibility basis which guarantees the exact interpolation of displacement field along the element and leads to fast convergence of the method in static analysis even with few elements. The method could be easily implemented into any standard displacement-based program. Carrying out numerical examples, the competency of the method in both static and free vibration is verified.
Analysis of Non-Prismatic Timoshenko Beams Using Basic Displacement Functions
Introducing the concept of Basic Displacement Functions (BDFs), an innovative method is presented which yields a mechanical based approach rather than a mathematical one for exact static analysis of arbitrarily tapered Timoshenko beams. Holding pure mechanical interpretations, BDFs are obtained using energy methods such as unit load method. It is shown that exact shape functions and consequently structural matrices could be derived in terms of BDFs. Unlike the most of finite element formulations which are based on prescribed displacement fields, the present finite element takes advantage of a flexibility basis which guarantees the exact interpolation of displacement field along the element and leads to fast convergence of the method in static analysis even with few elements. The method could be easily implemented into any standard displacement-based program. Carrying out numerical examples, the competency of the method in both static and free vibration is verified.
Analysis of Non-Prismatic Timoshenko Beams Using Basic Displacement Functions
Attarnejad, Reza (author) / Shahba, Ahmad (author) / Semnani, Shabnam Jandaghi (author)
Advances in Structural Engineering ; 14 ; 319-332
2011-04-01
14 pages
Article (Journal)
Electronic Resource
English
Analysis of Non-Prismatic Timoshenko Beams Using Basic Displacement Functions
| Online Contents | 2011
A modified modal perturbation method for vibration characteristics of non-prismatic Timoshenko beams
| British Library Online Contents | 2011
Displacement control of Timoshenko beams via induced strain actuators
| British Library Online Contents | 2000
Springer Verlag | 2009
Basic displacement functions for centrifugally stiffened tapered beams
| British Library Online Contents | 2011