AVI as a mechanical tool for studying dynamic and static beam structures
نویسندگان
چکیده
In this paper we study the dynamic behavior of an isotropic KirchhoffLove beam and investigate the equilibrium position of an Euler-Bernoulli beam. Using the discrete Euler-Lagrange and Lagrange-d’Alembert principles, we simulate the behavior by means of variational integrators and, in particular, AVIs (Asynchronous Variational Integrators). We place special emphasis on the geometric structure underlying stress resultant beam models and propose B-spline shape functions for AVI-method.
منابع مشابه
AVI as a mechanical tool for studying dynamic and static Euler-Bernoulli beam structures
The equilibrium position of an Euler-Bernoulli beam is investigated. Using the discrete Euler-Lagrange and Lagrange-d’Alembert principles, the behavior of the beam is simulated using variational integrators and, in particular, AVIs (Asynchronous Variational Integrators). Special emphasis is placed on the discrete mechanics and geometric structure underlying stress resultant beam models.
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