On the basis of the concept of finite element methods, the rigorous analytical solutions of structural response in terms of the design variables are researched in this paper. The spatial trusses are taken as an exampl...On the basis of the concept of finite element methods, the rigorous analytical solutions of structural response in terms of the design variables are researched in this paper. The spatial trusses are taken as an example for the solution of the analytical expressions of the explicit displacements which are proved mathematically; then some conclusions are reached that are useful to structural sensitivity analysis and optimization. In the third part of the paper, a generalized geometric programming method is sugviped for the optimal model with the explicit displacement. Finally, the analytical solutions of the displacements of three trusses are given as examples.展开更多
The authors introduce the general compromise value for cooperative games with transferable utility.With respect to a set of potential payoffs of which the maximal and minimal potential payoff vectors are regarded as t...The authors introduce the general compromise value for cooperative games with transferable utility.With respect to a set of potential payoffs of which the maximal and minimal potential payoff vectors are regarded as the upper and lower bounds for players,the unique pre-imputation lying on the straight line segment with these two vectors as the extreme points is defined as the general compromise value.Potential-consistency and maximal proportional property are introduced to characterize the general compromise value.展开更多
文摘On the basis of the concept of finite element methods, the rigorous analytical solutions of structural response in terms of the design variables are researched in this paper. The spatial trusses are taken as an example for the solution of the analytical expressions of the explicit displacements which are proved mathematically; then some conclusions are reached that are useful to structural sensitivity analysis and optimization. In the third part of the paper, a generalized geometric programming method is sugviped for the optimal model with the explicit displacement. Finally, the analytical solutions of the displacements of three trusses are given as examples.
基金supported by the National Natural Science Foundation of China under Grant Nos.72001172,71871180 and 72071158the Fundamental Research Funds for the Central Universities under Grant No.310201911qd052Natural Science Basic Research Plan in Shaanxi Province of China under Grant No.2020JQ-225.
文摘The authors introduce the general compromise value for cooperative games with transferable utility.With respect to a set of potential payoffs of which the maximal and minimal potential payoff vectors are regarded as the upper and lower bounds for players,the unique pre-imputation lying on the straight line segment with these two vectors as the extreme points is defined as the general compromise value.Potential-consistency and maximal proportional property are introduced to characterize the general compromise value.
