We discuss the use of homogenization techniques to derive approximate models with simple geometry for physical models of grids and trusses which have a complex geometry that gives rise to computational diiculties. Our presentation is in the context of inverse or parameter estimation problems for composite material structures with unknown characteristics such as stiiness and internal damping. We...

One of the primary objectives truss structure design optimization is to minimize total weight by determining optimal sizes members while ensuring structural stability and integrity against external loads. Trusses consist pin joints connected straight members, analogous vertices edges in a mathematical graph. This characteristic motivates idea representing as graph edges. In this study, Graph Ne...

In response to the heat load requirements of high-thrust liquid rocket engine, a light-weight lattice structure is used fill traditional exchanger. A parameterized model library established, and relative density adjusted by changing unit cell parameters obtain different filling structures. comprehensive comparison exchangers with structures performed in terms weight, transfer efficiency, turbul...

The theory of plane, elastic trusses is reconsidered from the viewpoint of the continuum theory of elastic media. A main difference between continuum and discrete theories is the following: In the continuous case all quantities are declared throughout the whole body, whereas in the discrete case each quantity has its own “carrier”. In a truss, for instance, displacements and applied forces are ...

This paper presents a semidefinite relaxation technique for computing a minimal bounding ellipsoid that contains the set of static responses of an uncertain truss. We assume that both member stiffnesses and external forces are uncertain but bounded. By using a combination of the quadratic embedding technique of the uncertainty and the Sprocedure, we formulate a semidefinite programming (SDP) pr...

This paper presents a formulation of robust topology optimization of trusses subjected to the stress constraints under the load uncertainty. A design-dependent uncertainty model of external loads is proposed for considering the variation of truss topology in the course of optimization. For a truss with the discrete member cross-sectional areas, it is shown that the robust topology optimization ...