MATHEMATICAL ENGINEERING TECHNICAL REPORTS Ellipsoidal Bounds for Static Response of Framed Structures against Interactive Uncertainties
نویسندگان
چکیده
This paper presents an optimization-based method for computing a minimal bounding ellipsoid that contains the set of static responses of an uncertain braced frame. We assume that the parameters both of brace stiffnesses and external forces are uncertain but bounded, which is a non-stochastic model of uncertainty. A brace member represents the sum of the stiffness of the actual brace and the contributions of some non-structural elements, and hence we assume that the axial stiffness of each brace is uncertain. By using the S-lemma, we formulate a semidefinite programming (SDP) problem which provides an outer approximation of the minimal bounding ellipsoid. The minimum bounding ellipsoids are computed for a braced frame under several uncertain circumstances.
منابع مشابه
Ellipsoidal bounds for static response of framed structures against interactive uncertainties
This paper presents an optimization-based method for computing a minimal bounding ellipsoid that contains the set of static responses of an uncertain braced frame. Based on a non-stochastic modeling of uncertainty, we assume that the parameters both of brace stiffnesses and external forces are uncertain but bounded. A brace member represents the sum of the stiffness of the actual brace and the ...
متن کاملNumerical Study of Progressive Collapse in Framed Structures: A New Approach for Dynamic Column Removal (TECHNICAL NOTE)
Progressive collapse is a situation where local failure of a primary structural component leads to the collapse of adjoining members which, in turn, leads to additional collapse. Hence, the total damage is disproportionate to the original cause. The most common local failure in framed structure is assumed to be column failure. In this paper, a new approach for dynamic column removal in framed s...
متن کاملStiffness-based Approach for Preliminary Design of Framed Tube Structures
A parametric formulation for preliminary design of tubed-system tall buildings is presented in which some optimality criteria and practical constraints are considered. Here, a minimum compliance optimization formulation, developed by other researchers, is applied to a framed-tube structure. The tube behavior is modeled as a cantilevered box beam. Independent variable in this problem is thicknes...
متن کاملModeling and Analysis of Outrigger Reaction Forces of Hydraulic Mobile Crane (TECHNICAL NOTE)
This paper presents an original interactive analysis method consisting of mathematical calculation based on theoretical mechanics and mechanics of materials, and dynamics simulation for quantifying outrigger reaction forces of a kind of hydraulic mobile crane, aiming to avoid the eventualities during normal operation as far as possible, for example, tipping-over. First, a three dimensional dyna...
متن کاملAN OPTIMUM APPROACH TOWARDS SEISMIC FRAGILITY FUNCTION OF STRUCTURES THROUGH METAHEURISTIC HARMONY SEARCH ALGORITHM
Vulnerability assessment of structures encounter many uncertainties like seismic excitations intensity and response of structures. The most common approach adopted to deal with these uncertainties is vulnerability assessment through fragility functions. Fragility functions exhibit the probability of exceeding a state namely performance-level as a function of seismic intensity. A common approach...
متن کامل