scholarly journals Optimal Placement of Passive Energy Dissipation Devices by Genetic Algorithms

2012 ◽  
Vol 2012 ◽  
pp. 1-21 ◽  
Author(s):  
Ji-ting Qu ◽  
Hong-nan Li

A mathematical model is proposed in this paper for locating optimal positions for passive energy dissipative dampers. Three control indices of structural responses with the storey-drift angle, storey displacement, and acceleration are taken in this model. Firstly, six combination modes of these indices are presented. On the premise that the number of dampers is fixed, this paper deals with the optimal placement of two types of passive dampers for several building models with different number of storeys and seismic ground motions at four types of sites using genetic algorithm. Secondly, two estimating indices are presented to assess the reasonable combination mode of coefficients under different conditions, which can generally express the best response control. Numerical examples are illustrated to verify the effectiveness and feasibility of the proposed mathematical model. At last, several significant conclusions are given based on numerical results.

2010 ◽  
Vol 37 (9) ◽  
pp. 1201-1211 ◽  
Author(s):  
Hyunhoon Choi ◽  
Jinkoo Kim

Passive energy dissipation devices, such as, viscous, viscoelastic, and friction devices are generally installed in buildings using diagonal or chevron braces. To increase the effective damping force and to reduce the damper volume, various magnifying system of the damper displacement, such as, toggle brace system and scissor-jack-damper configuration have been developed with increase in installation cost. In this study, new installation scheme for passive dampers was proposed using cables installed in such a way that relative displacement equal to storey displacement occurs between the cable and the structure when the structure is subjected to lateral load. The cables can be installed continuously or discretely between base and top storey of the structure. To verify the validity of the proposed method nonlinear dynamic analysis of model structures with viscoelastic dampers installed using the proposed configuration scheme was carried out using three earthquake records and two sinusoidal forces. According to the analysis, the proposed method resulted in significant reduction in the size of dampers compared with the conventional installation methods.


Author(s):  
Gian Paolo Cimellaro

The objective of this chapter is to evaluate different methodologies for the optimal placement and innovative design of passive energy dissipation systems which are being used to reduce vibrations of civil engineering structures subject to earthquakes. For large civil engineering structures it is necessary to install a sufficient number of dampers to achieve a reduction of the building response and the performance of these dampers depends on their location in the structures. The selection of few locations out of a large number of locations for the placement of passive dampers is typically a nonlinear constrained optimization problem. This problem can be solved either by simple heuristic search approaches which can be easily integrated in conventional design procedures used by practicing engineers dealing with damper-added structures, and they yield a solution which may be close to the optimal solution, but computationally expensive. Three different heuristic search strategies will be used to optimize four objective functions, and results will be compared for three different building typologies.


2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Ji-ting Qu ◽  
Hong-nan Li

A new optimal method is presented by combining the weight coefficient with the theory of force analogy method. Firstly, a new mathematical model of location index is proposed, which deals with the determination of a reasonable number of dampers according to values of the location index. Secondly, the optimal locations of dampers are given. It can be specific from stories to spans. Numerical examples are illustrated to verify the effectiveness and feasibility of the proposed mathematical model and optimal method. At last, several significant conclusions are given based on numerical results.


2020 ◽  
Vol 25 (3) ◽  
pp. 51-63
Author(s):  
Chugay A.M. ◽  
◽  
Alyokhina S.V. ◽  

Packing optimization problems have a wide spectrum of real-word applications. One of the applications of the problems is problem of placement of containers with spent nuclear fuel (SNF) on the storage platform. The solution of the problem can be reduced to the solution of the problem of finding the optimal placement of a given set of congruent circles into a multiconnected domain taking into account technological restrictions. A mathematical model of the prob-lem is constructed and its peculiarities are considered. Our approach is based on the mathematical modelling of rela-tions between geometric objects by means of phi-function technique. That allowed us to reduce the problem solving to nonlinear programming. Today, an important scientific problem is the problem of creating conditions for safe storage of spent nuclear fuel. In the process of creating any dry spent nuclear fuel storage, the following main stages can be identified: site selection, storage design, construction, operation and decommissioning. A full check for compliance of the repository and its elements with these standards usually begins at the design stage. At the stage of site selection, the inspection for compliance with safety standards is carried out only in terms of the impact of the repository as a whole on the environment. This approach cannot be considered fully appropriate, because, taking into account, for example, all the climatic features of the future storage site, it is possible to adjust the thermal storage regimes of spent nuclear fuel. Similarly, it can be considered necessary to analyze and select the shape of the storage site in order to accommo-date the maximum possible number of spent fuel containers. Such a choice, obviously, should be made taking into ac-count the norms of nuclear, radiation and thermal safety, as well as in compliance with technological limitations. The problem of finding the optimal placement of containers taking into account the given technological limitations can be formulated in the form of the problem of optimization of geometric design. Therefore, the purpose of the study is to build a mathematical model of the problem and study its characteristics to develop effective methods of solution. The proposed approach is based on mathematical modeling of relations between geometric objects using the method of phi-functions. This allowed to reduce the solution of the problem to the problem of nonlinear programming.


2020 ◽  
Vol 2020 ◽  
pp. 1-22
Author(s):  
Wanmei Zhao ◽  
Chunming Ye ◽  
Xiaodong Ding

This paper examines the influence that members’ preferred service investments have on their decision-making and profits in a dual-channel supply chain. We discuss changes in the supplier’s and retailer’s decision-making and optimal profits with reference to their different preferred service investment combination modes and their different leader-follower relationships. We also provide classified comparisons of the supplier’s and retailer’s optimal profits by referring to four types of product characteristics combination modes that are assessed across two channels. By providing classifications and comparisons, we put forward operational insights for the supplier and retailer who have direct implications for their optimal decisions and profits, including selling products with higher homogeneity between two channels, choosing the retailer as the leader of the supply chain, and confirming appropriate preference combination mode under a certain product characteristics. We analyze the influences of the preferred service investment levels as well as preference intensities of the supplier and retailer on their strategies and profits in their respective advantaged states and obtain some enlightenment about the cooperation strategies and relationship-building methods of the supplier and retailer in the actual process of their participation in the dual-channel supply chain operation.


Author(s):  
I.H. Osmanov

The article considers an economic and mathematical model of optimal placement and determination of rational capacities of enterprises for processing solid household waste (SHW) at the regional level. The economic and mathematical model takes into account: factors that ensure the achievement of economic efficiency; ensuring environmental safety of the environment, the population of cities and towns. Environmental safety of SHW processing plants is of the utmost importance, since Crimea is a resort and recreation area. The role of state bodies in solving these urgent problems for the Crimea is considered.


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