The convexity about ultimate bearing hypersurfaces of structures

Autor:	Chengxi Guo, Tingting Guo
Rok vydání:	2016
Předmět:	Surface (mathematics) Hessian matrix Bearing (mechanical) Mathematical analysis Convex set Geometry Convexity law.invention symbols.namesake Hypersurface Generalized forces law Architecture symbols Bearing capacity Civil and Structural Engineering Mathematics
Zdroj:	Frontiers of Structural and Civil Engineering. 10:456-461
ISSN:	2095-2449 2095-2430
DOI:	10.1007/s11709-016-0334-1
Popis:	The relationship between the convexity on the ultimate bearing surface of a structure and the secondorder effects of loads is discussed. All of generalized non-overload forces acted on a structure forms a convex set when ignoring the second-order effects (coupling effects between the generalized forces). It is true also when the Hessian matrix composed of the second-order partial derivatives on the hypersurface about the ultimate bearing of the structure is negative definite. The outward convexity is kept when the surface is expressed by certain dimensionless parameters. A series of properties based on the convexity are pointed out. Some applications in the analysis of bearing capacity of structures were illustrated with examples. The study shows that an evaluation about the bearing capacity state of a complex structure can be made on the basis of several points on the surface of the ultimate bearing of the structure.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::bd704cd4672fd787cdc4c2550f9dad85 https://doi.org/10.1007/s11709-016-0334-1 Zobrazit plný text záznamu Full text from SpringerLink