Sentence examples for formulated elements from inspiring English sources

Both free vibration and wave propagation analysis is performed using the formulated elements.

The efficiency and robustness of the formulated elements are demonstrated by solving few standard problems involving free vibration and dynamic response analysis with undistorted and distorted spectral elements, and the obtained results are compared with available results in the published literature.

The formulated element has super convergent properties as it gives the exact elemental stiffness matrix.

The formulated element is further used to study the stress distribution in a multi-layered media.

The formulated element is used to study the wave propagation behavior in box beams subjected to high frequency loading such as impact.

The studies show that the formulated element predicts results, that compare well with the solution available in the literature, at a fraction of the computational effort.

Since the stiffness matrix is exact for static analysis, the formulated element predicts natural frequency to greater level of accuracy with smaller discretization compared to any other conventional finite elements.

Numerical experiments are performed for static and natural frequency calculation and the superconvergent property of the formulated element is shown by comparing the solution with the standard 1-D FE beam element and 2-D FEM.

A spectrally formulated element that has three degrees of freedom (axial motion, transverse motion and rotation) per node for analysis of slender multiply connected composite beams under high-frequency impact loading is presented.

It is shown that the formulated element is able to predict the reflected and transmitted response accurately through a rigid angle joint for varying joint angles and axial flexural coupling.

The formulated element uses Gauss Lobatto Legendre quadrature scheme for integrating the volumetric stiffness and the mass matrices while the conventional Gauss Legendre quadrature scheme is used on the rotational stiffness matrix to completely eliminate the zero energy modes, which are normally associated with the Lagrangian FE formulation.