Vibrations of Timoshenko beams with isogeometric approach
نویسندگان
چکیده
منابع مشابه
Isogeometric Analysis for Nonlinear Dynamics of Timoshenko Beams
The dynamics of beams that undergo large displacements is analyzed in frequency domain and comparisons between models derived by isogeometric analysis and p-FEM are presented. The equation of motion is derived by the principle of virtual work, assuming Timoshenko’s theory for bending and geometrical type of nonlinearity. As a result, a nonlinear system of second order ordinary differential equa...
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Transverse vibrations of Timoshenko type beams carrying a concentrated mass have been investigated. Both ends of this mass-beam system have simply supports. Hamilton Principle has been used in order to derive equation of motion . For this coupled differential equations, approximately solutions have been searched by means of Method of Multiple Scales(a perturbation method). These solutions consi...
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In the present work, a finite element model is proposed to describe the response of isotropic and orthotropic beams with piezoelectric actuators due to applied mechanical loads as well as electrical load. The assumed field displacements of the beams are represented by First-order Shear Deformation Theory (FSDT), the Timoshenko beam theory. The equation of motion of the smart beam system is deri...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2013
ISSN: 0307-904X
DOI: 10.1016/j.apm.2013.04.034