In this paper, an exact solution for an uniformly loaded rectangular plate with two adjacent edges clamped, one edge simply supported and the other edge free, was given by using the concept of generalized simply suppo...In this paper, an exact solution for an uniformly loaded rectangular plate with two adjacent edges clamped, one edge simply supported and the other edge free, was given by using the concept of generalized simply supported edges and superposition method. The numerical results were given for the deflections along the free edge and bending moments along the clamped edges of a square plate.展开更多
The focus of this paper is on a new concept framework and an architecture of an intelligent decision support syetem generator (DSSG). The framework results from a synthesis of two existing frameworks: Spragae and Bonc...The focus of this paper is on a new concept framework and an architecture of an intelligent decision support syetem generator (DSSG). The framework results from a synthesis of two existing frameworks: Spragae and Bonczek, while the architecture is a rooted partial order network. From our experience which comes out of the project of DSSG, we consider that they are keys of further research and development of DSS.展开更多
In 2015,a group of mathematicians at the University of Washington,Bothell,discovered the 15th pentagon that can cover a plane,with no gaps and overlaps.However,research on its containment measure theory or geometric p...In 2015,a group of mathematicians at the University of Washington,Bothell,discovered the 15th pentagon that can cover a plane,with no gaps and overlaps.However,research on its containment measure theory or geometric probability is limited.In this study,the Laplace extension of Buffon’s problem is generalized to the case of the 15th pentagon.In the solving process,the explicit expressions for the generalized support function and containment function of this irregular pentagon are derived.In addition,the chord length distribution function and density function of random distance of this pentagon are obtained in terms of the containment function.展开更多
文摘In this paper, an exact solution for an uniformly loaded rectangular plate with two adjacent edges clamped, one edge simply supported and the other edge free, was given by using the concept of generalized simply supported edges and superposition method. The numerical results were given for the deflections along the free edge and bending moments along the clamped edges of a square plate.
文摘The focus of this paper is on a new concept framework and an architecture of an intelligent decision support syetem generator (DSSG). The framework results from a synthesis of two existing frameworks: Spragae and Bonczek, while the architecture is a rooted partial order network. From our experience which comes out of the project of DSSG, we consider that they are keys of further research and development of DSS.
基金Supported by NSFC(Grant No.61875068)the Fujian Provincial NSF(Grant No.2023J011101)the Project Fund for Scientific Research and Cultivation of Talents of Fujian Jiangxia University(Grant No.JXZ2022012)。
文摘In 2015,a group of mathematicians at the University of Washington,Bothell,discovered the 15th pentagon that can cover a plane,with no gaps and overlaps.However,research on its containment measure theory or geometric probability is limited.In this study,the Laplace extension of Buffon’s problem is generalized to the case of the 15th pentagon.In the solving process,the explicit expressions for the generalized support function and containment function of this irregular pentagon are derived.In addition,the chord length distribution function and density function of random distance of this pentagon are obtained in terms of the containment function.
