62 KB291 KB47 KB199920252008Kravanja, StojanKravanja, ZdravkoŽula, Tomažštevilka:1018 straniletnik:54str. 707-724ISSN:0039-2480COBISSID:12650774URN:URN:NBN:SI:doc-SWFK98H9enAssociation of Mechanical Engineers and Technicians of Slovenia et al.Zveza strojnih inženirjev in tehnikov Slovenije et al.Strojniški vestnikcivil engineeringgradbena statikagradbeništvojeklene konstrukcijenelinearno programiranjeoptimiranjetopologijaMINLP optimization of a single-storey industrial steel building|The paper presents the topology and standard sizes optimization of a single-storey industrial steel building, made from standard hot rolled I sections. The structure consists of main portal frames, connected with purlins. The structural optimization is performed by the Mixed-Integer Non-linear programming approach (MINLP). The MINLP performs a discrete topology and standard dimension optimization simultaneously with continuous parameters. Since the discrete/continuous optimization problem of the industrial building is non-convex and highly non-linear, the Modified Outer- Approximation/Equality-Relaxation (OA/ER) algorithm has been used for the optimization. Alongside the optimum structure mass, the optimum topology with the optimum number of portal frames and purlins as well as all standard cross-section sizes have been obtained. The paper includes the theoretical basis and a practical example with the results of the optimizationV prispevku je predstavljeno optimiranje topologije in standardnih prerezov jeklene industrijske hale, izdelane iz jeklenih standardnih vroče valjanih I prerezov. Konstrukcijo sestavljajo glavni okvirji na katere so pritrjene lege. Optimiranje je izvedeno z mešanim celoštevilskim nelinearnim programiranjem (MINLP). Pri MINLP poteka diskretno optimiranje topologije in standardnih izmer sočasno z računom zveznih parametrov. Za reševanje nekonveksnega, nelinearnega in kombiniranega diskretno-zveznega optimizacijskega problema jeklenih hal je uporabljen modificirani algoritem zunanje aproksimacije s sprostitvijo enačb (Modified OA/ER). Poleg optimalne mase konstrukcije so še izračunani optimalna topologija z optimalnim številom glavnih okvirjev in leg ter standardni prerezi vseh konstrukcijskih elementov. Prispevek vsebuje teoretični opis problema in praktični primer z rezultati optimiranjaTEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaUniverza v Ljubljani, Fakulteta za strojništvo