Abstract
In this paper, a new triangular membrane finite element with in-plane drilling rotation has been developed using the strain-based approach for static and free vibration analyses. The proposed element, having three degrees of freedom at each of the three corner nodes, is based on assumed strain functions satisfying both compatibility and equilibrium equations. Numerical investigations have been conducted using several tests, including static and free vibration problems, and the obtained results are compared with analytical and numerical available solutions. It is found that efficient convergence characteristics and accurate results can be achieved using the developed element.
Highlights
The formulation of simple and robust finite elements has become one of the most important research fields in structural mechanics
Considerable efforts have been oriented to overcome the weaknesses of these elements by the development of efficient elements using different concepts and formulations such as the assumed strain or enhanced assumed strain elements (Li and Huang 2014; Piltner and Taylor 1999), the generalized conforming elements (Chen et al 2004; Li and Huang 2014), the quasi-conforming elements (Wang et al 2014; Xia et al 2017), and the quadrilateral area coordinate elements (Li and Huang 2014; Cen et al 2015)
The obtained results using the developed SBTDR element are in a good agreement with those obtained using the OPT element and commercial software SAP-2000, STAADPRO
Summary
The formulation of simple and robust finite elements has become one of the most important research fields in structural mechanics. The obtained results using the developed SBTDR element are in a good agreement with those obtained using the OPT element and commercial software SAP-2000, STAADPRO This test allows analyzing a thin-circular beam clamped at one end and subjected to a unit shear load at the free end (Fig. 6). The results obtained by the SBTDR element are less accurate than those obtained by the element T6, whereas the frequencies obtained by the elements Q4 and T3 are considerably higher than those of the analytical solution The obtained results of the SBTDR element are less accurate than those of the fourh=0.2289 node QBI element and it behaves much less than eightnode Q9 and SFEM elements
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
