Abstract
In this paper the coupled governing equations of motion for general curved beams with the attached tuned mass damper including the effects of curved beam axis extensibility, shear deformation and rotary inertia have been derived. Then by applying the Galerkin weighted residual technique and using an appropriate shape function, the finite element model of the system has been developed. Random vibration analysis based on the state-space method is used to efficiently find the variance of the response under stationary random loadings. The developed analysis module is then combined with the Sequential Quadratic Programming optimization algorithm to obtain the optimal design variables in the tuned mass dampers to efficiently suppress vibration of different types of curved beam. Illustrative examples are analyzed to demonstrate the validity of the methodology.
Get full access to this article
View all access options for this article.