Geometry and topology optimization of plane frames for compliance minimization using force density method for geometry model
| Autor: | Wei Shen, Makoto Ohsaki |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Force density
Plane (geometry) Sequential quadratic programming 0211 other engineering and technologies General Engineering Boundary (topology) Geometry Compliance minimization 02 engineering and technology Shape and topology optimization Computer Science Applications Cross section (physics) 020303 mechanical engineering & transports 0203 mechanical engineering Modeling and Simulation Force density method Bending moment Sensitivity (control systems) Plane frame Software Geometry and topology Topology (chemistry) 021106 design practice & management Mathematics |
| Zdroj: | Engineering with Computers. 37:2029-2046 |
| ISSN: | 0177-0667 |
| Popis: | A new method is proposed for simultaneous optimization of shape, topology and cross section of plane frames. Compliance against specified loads is minimized under constraint on structural volume. Difficulties caused by the melting nodes can be alleviated to some extent by introducing force density as design variables for defining the geometry, where the side constraints are assigned for force density to indirectly avoid the existence of extremely short members. Force density method is applied to an auxiliary cable-net model with different boundary and loading conditions so that the regularity of force density matrix is ensured by positive force densities. Sensitivity coefficients of the objective and constraint functions with respect to the design variables are also explicitly calculated. After the optimal geometry of the frame is obtained, the topology is further improved by removing the thin members and combining closely spaced nodes. It is demonstrated in the numerical examples of three types of frames that rational geometry and topology can be achieved using the proposed method, and the effect of bending moment on the optimal solution is also discussed. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink