An analytical study on higher natural frequencies of stepped beam using spectral finite elements
Nitesh Kumar, Sandeep Pannu
In engineering, the dynamic behaviour of a structure is critical, and precise prediction of the structure's dynamic properties is essential. Structural dynamics makes heavy use of the finite element method (FEM). As long as the structure's wavelength is large relative to the mesh size, a finite-element model may offer realistic dynamic properties. In fact, as the frequency of the calculations rises, the finite element solutions become progressively erroneous. Refining the mesh may increase accuracy, but the cost might be exorbitant. Traditional finite element (mass and stiffness) matrices are often constructed using presumed frequency-independent polynomial shape functions. Vibration shapes of structures change with frequency, hence a correct FEM needs a mesh of finite elements (or elements) to represent the structure in real-time. Alternatively, the subdivision may not be required if the form functions are frequency dependent.
Nitesh Kumar, Sandeep Pannu. An analytical study on higher natural frequencies of stepped beam using spectral finite elements. International Journal of Research in Advanced Engineering and Technology, Volume 8, Issue 2, 2022, Pages 17-19