Analysis of Non-Prismatic Timoshenko Beams Using Basic Displacement Functions

摘要: Introducing the concept of Basic Displacement Functions (BDFs), an innovative method is presented which yields a mechanical based approach rather than mathematical one for exact static analysis arbitrarily tapered Timoshenko beams. Holding pure interpretations, BDFs are obtained using energy methods such as unit load method. It shown that shape functions and consequently structural matrices could be derived in terms BDFs. Unlike most finite element formulations on prescribed displacement fields, present takes advantage flexibility basis guarantees interpolation field along leads to fast convergence even with few elements. The easily implemented into any standard displacement-based program. Carrying out numerical examples, competency both free vibration verified.