Sign convention for displacements in a tronco-conical shell

Sign convention for displacements in a tronco-conical shell

Source publication
Article
Full-text available
The aim of this study is to compare two available numerical tools for solving of partial differential equations for the optimal design of structures. In the past years numerous methods were developed for topology optimization, from these we have adopted the optimality criteria (OC) approach. The main idea is that we state the optimal conditions, th...

Context in source publication

Context 1
... property is also fruitful, when creating a mesh generator, since the discretization happens in lower dimension, even in the case of a curved axis. a more general discussion, the expressions are formulated in a tronco-conical coordinate system, shown in Figure 4. Then, the simpler geometries can be deduced as a particular case of this formulation. ...

Similar publications

Article
The effect of moment gradient on the buckling moment resistance of I-beams can be taken into account by the use of an equivalent moment-gradient factor Cb. The Cb factors given by the previous researchers have been derived from elastic lateral-torsional buckling (LTB) analysis of compact I-beams. However, according to the available literature it is...

Citations

... Use of the Finite Strip Method (FSM) is simpler and more economical compared to the FEM, in order to analyze long thin-walled structures such as cylindrical panels (Mirzaei et al. 2015, Fazilati 2017, Balogh and Logo 2015, Rondal 1998. Moreover, while in the FEM the structure is discretized in transverse and longitudinal directions, it is only discretized in transverse direction in FSM (Rondal 1998). ...
Article
Full-text available
In this study, a new sub-parametric strip element is developed to simulate the axially loaded composite cylindrical panel with arbitrary cutout. For this purpose, a code called SSFSM is developed in FORTRAN to analyze the buckling of panels. The first order shear deformation theory is used to form the strain-displacement relations. Spline and Lagrangian functions are used to derive element shape functions in the longitudinal and transverse directions, respectively. The computational cost of the SSFSM is decreased dramatically, as mapping functions of the strip element are very simple. The results obtained from the SSFSM are compared with those of the literature and the results obtained by ABAQUS to show the validity of the proposed approach. A parametric study is performed to show the capability of the SSFSM in calculating the panel buckling load. Results indicate that increasing the panel thickness and panel central angles cause an increase in panel buckling load. The cutout shape is an important factor influencing the panel buckling load. For instance, when the angle between the direction of big chord of the elliptical cutout and compressive load direction are 0 and 90 degrees, the panel buckling load reaches its minimum and maximum magnitude, respectively.