Static and dynamic analysis of space frameworks with curved members

Sie sind hier: Homepage > Suche

Static and dynamic analysis of space frameworks with curved members

Fettahlioglu, O.A. / Toridis, T.G. / Singh, S.

A nonconventional finite-element method is presented for the analysis of space frameworks composed of straight and curved members. In the analysis, both static and dynamic loads, elastic-plastic deformations, strain hardening, and hysteresis effects are taken into consideration. The elements of the stiffness and consistent mass matrices of the circularly curved-beam-element in space are derived in closed form, based on the exact solutions of previously developed Euler differential equations in terms of six deformations governing the in-plane and out-of-plane behavior of the curved element and accounting for the effects of extensional and shearing deformations. The effects of rotary inertia is also considered in the derivation of the consistent mass matrix. As a result of the formulation used in the present study the distribution fuctions of stress resultants and deformations are exact within the elements. Furthermore, the explicit forms of the stiffness and mass matrices reduce considerably the number of finite-elements needed to model a given structure and thus eliminate the need for extensive matrix operations in the computational algorithm. (Peters)