| Title |
Topology Optimization of Plane Structures under Free Vibration with Isogeometric Analysis |
| Authors |
Lee, Sang-Jin ; Bae, Jungeun |
| DOI |
https://doi.org/10.5659/JAIK_SC.2018.34.6.11 |
| Keywords |
Topology Optimization ; Isogeometric Approach ; Node-wise Density ; Plane Structure ; Free Vibration |
| Abstract |
Isogeometric concept is introduced to find out the optimum layout of plane structure under free vibration. Eigenvalue problem is formulated and numerically solved in order to obtain natural frequencies and mode shapes of plane structures. For the exact geometric expression of the structure, the Non-Uniform Rational B-spline Surface (NURBS) basis functions is employed and it is also used to define the material density functions. A node-wise design variables is adopted to deal with the updating of material density in topology optimization (TO). The definition of modal strain energy is employed to achieve the maximization of fundamental frequency through its minimization. The verification of the proposed TO technique is performed by a series of benchmark test for plane structures. |