A Framework for Computer-Aided Conceptual Design of Building Structures

This paper describes a framework for computer-aided conceptual design of building structures that results from building architectural considerations. The central task that is carried out during conceptual design is the synthesis of the structural system. This paper proposes a methodology for the synthesis of structural solutions. Given the nature of architectural constraints, user-model interactivity is devised as the most suitable computer methodology for driving the structural synthesis process. Taking advantage of the hierarchical organization of the structural system, this research proposes a top-down approach for structural synthesis. Through hierarchical refinement, the approach lends itself to the synthesis of global and local structural solutions. The components required for implementing the proposed methodology are briefly described. The main components have been incorporated in a proof-of-concept prototype that is being tested and validated with actual buildings

Geometry and topology optimization of plane frames for compliance minimization using force density method for geometry model

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