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Interval analysis of nonlinear frames with uncertain connection properties
- Source :
- International Journal of Non-Linear Mechanics. 86:83-95
- Publication Year :
- 2016
- Publisher :
- Elsevier BV, 2016.
-
Abstract
- Semi-rigid connections can often be a more economical solution for a framing system than one with either fully fixed connections or fully pinned ones. In view of the fact that the properties of such ductile and partial-strength connections are not known accurately, this paper presents a method for the obtention of both upper and lower bound responses of semi-rigid frames for possible variations in their moment-rotation properties. The latter are thus assumed to be known within some key upper and lower bound values, namely a constitutive law that is still deterministic but is described in terms of a so-called “interval” model. A mathematical programming approach is used to formulate and solve the problem. In particular, for each load level, a pair of nonstandard optimization problems known as interval mathematical programs with equilibrium constraints (or interval MPECs) are solved to provide the required bounds. A number of examples are provided to highlight the important effects of considering uncertainties in semi-rigid connection properties.
- Subjects :
- Mathematical optimization
Optimization problem
Applied Mathematics
Mechanical Engineering
Constitutive equation
Steel structures
020101 civil engineering
02 engineering and technology
Upper and lower bounds
0201 civil engineering
Interval arithmetic
Nonlinear system
020303 mechanical engineering & transports
0203 mechanical engineering
Mechanics of Materials
Framing (construction)
Mathematics
Subjects
Details
- ISSN :
- 00207462
- Volume :
- 86
- Database :
- OpenAIRE
- Journal :
- International Journal of Non-Linear Mechanics
- Accession number :
- edsair.doi...........de12330436ed0fedca219b3d2ddc3191