Abstract
Vibration analysis and optimization of a rectangular plate with a flanging hyperellipse cutout is investigated in this paper, numerically. In the analysis, finite element method (FEM) is applied to perform parametric studies on various plates in different boundary conditions, addressing the influence of different cutout parameters (area, shape, flanging height, position, and rotation) on the first- and second-order natural frequencies of the rectangular plate and providing references for the optimum frequency design. Then, maximization of frequency or the difference of two consecutive frequencies of the rectangular plate is carried out using Multi-island Genetic Algorithm, aiming to achieve the best dynamic characteristics. The results show that different cutout parameters have great influence on vibration performance of the plate, the existing of the flanging increases the out-of-plane stiffness of the plate. Additionally, the nature frequency of the plate has been improved obviously for different models with the optimal design of the cutout.
Highlights
In the actual engineering structure, such as aerospace, ship, and marine, plate structures are considered as major engineering substructures, especially wherever the weight is a main issue
Stress concentration occurs around the cutouts, and the static strength of the component is reduced; on the other hand, the quality and stiffness distribution of the structure will change for the existing cutouts, which have a great influence on the mechanical properties such as natural frequency and structural load-bearing performance of the structure. erefore, analysis of the mechanical properties of the structure with cutouts has been a hot issue in the research, which is of great significance in the engineering structure design
For a rectangular plate with cutout, Komur et al [4] presented a buckling analysis of a woven-glass-polyester laminated composite plate with a circular/elliptical cutout. e results show that buckling loads are decreased by increasing both c/a and b/a ratios. e increase of cutout positioned angle causes decrease of buckling loads
Summary
In the actual engineering structure, such as aerospace, ship, and marine, plate structures are considered as major engineering substructures, especially wherever the weight is a main issue. Considering an effective weight loss of structure and combining with shape optimization of cutout, this paper focuses on the influence analysis and optimization of structural dynamic performance of a rectangular plate with flanging hyperellipse cutout, and the boundary of the cutout is described with several parameterization parameters, including the possibility of going from an ellipse to a rectangle or even to a triangle. The influence of different cutout parameters (area, shape, flanging height, position, and rotation) on the first and second order natural frequencies of the rectangular plate in different boundary constraints will be studied firstly, providing references for the optimum frequency design of the structure. The influence of different cutout parameters (area, shape, flanging height, position, and rotation) on the first and second order natural frequencies of the rectangular plate in different boundary constraints will be studied firstly, providing references for the optimum frequency design of the structure. en, the optimal design of the rectangular plate is carried out under the constraint condition of cutout area unchanged. e first and the second natural frequency or the difference between the first two natural frequencies is maximized through optimization process, aiming to achieve the best dynamic characteristics
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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
