Analysis on strengths of isotropic cusped beams

Author: Sophio Bliadze
Keywords: cusped, isotropic, beam, strength, analysis
Annotation:

Since demand for isotropic materials is gradually decreasing since their density is big, they are also expensive and hard-working, the task of minimizing mass of isotropic material has been on the agenda. A clear example of this is the construction of aircraft. Where the most important requirement is the maximum lifting force in the minimum mass. This challenge is answered by the variable geometric beams, which is very small compared to the prisms. The main purpose of the work is to optimize the geometry of cusped beams and their complex analysis in terms of strength. The work deals with two different cases of the variable beams, in one case we discussed the constant thickness and the variable width, and in the second case it is considered a constant width and variable thickness. Based on a theoretical analysis, we have optimized their geometry and as a result, if the thickness of the variable geometric beams is constant, the width is changing as a linear function, and in the second case it is found out that if the cusped isotropic width is constant, then the thickness is changing as a square function. After optimization, we conducted a comparative analysis of the above-mentioned cusped beams with the same geometric characteristics of the prismatic beam with the constant cross-section and as a result we identified it the percentage of the material economy. Namely, in one case, the savings of the isotropic cusped beam (with constant thickness and the width changing as a linear function) is 50%. In the second case, when the width of the beam is constant and the thickness changing as a square function, the material savings are - 33%.