The MINLP optimization approach to structural synthesis. Part III: synthesis of roller and sliding hydraulic steel gate structures

Abstract

Part III of this three-part series of papers describes the synthesis of roller and sliding hydraulic steel gate structures performed by the Mixed-Integer Non-linear Programming (MINLP) approach. The MINLP approach enables the determination of the optimal number of gate structural elements (girders, plates), optimal gate geometry, optimal intermediate distances between structural elements and all continuous and standard crossectional sizes. For this purpose, special logical constraints for topology alterations and interconnection relations between the alternative and fixed structural elements are formulated. They have been embedded into a mathematical optimization model for roller and sliding steel gate structures GATOP. GATOP has been developed according to a special MINLP model formulation for mechanical superstructures (MINLP-MS), introduced in Parts I and II. The model contains an economic objective function of self-manufacturing and transportation costs of the gate. As the GATOP model is non-convex and highly non-linear, it is solved by means of the Modified OA/ER algorithm accompanied by the Linked Two-Phase MINLP Strategy, both implemented in the TOP computer code. An example of the synthesis is presented as a comparative design research work of the already erected roller gate, the so-called Intake Gate in Aswan II in Egypt. The optimal result yields 29)4 per cent of net savings when compared to the actual costs of the erected gate.1998 John Wiley & Sons, Ltd.

MINLP Optimization of Mechanical Structures

“…The first one introduces the topology, shape and sizing optimization of an aluminium truss cantilever, the second example shows the topology and discrete/standard sizing optimization of a 40 m long steel truss and the last one presents the topology and discrete/standard sizing optimization of a single-storey industrial steel building. The optimization of the structures is proposed to be carried out by a user-friendly version of the MINLP computer package MIPSYN, the successor of PROSYN [1] and TOP [2][3][4]16] . MIPSYN is the implementation of many advanced optimization techniques, most important of which are the Modified OA/ER algorithm and MINLP strategies.…”

“…A two-phase MINLP optimization is proposed to accelerate the convergence of the mentioned algorithm. The optimizations are carried out by the MINLP computer package MIPSYN, the successor of PROSYN [1] and TOP [2][3][4] . Three examples are presented at the end of the paper.…”

MINLP cost optimization of industrial steel building

“…Table 1: Economic data for optimization. The optimization was carried out by a user-friendly version of the MINLP computer package MIPSYN, the successor of PROSYN [1] and TOP [2][3][4]. As an interface for mathematical modelling GAMS (General Algebraic Modelling System was used [10].…”

“…The first one includes the generation of a mechanical superstructure of different topology and standard sizes alternatives, the second one involves the development of an MINLP model formulation and the last one consists of a solution for the defined MINLP optimization problem. The Modified Outer-Approximation/Equality-Relaxation algorithm is used to perform the optimization, see Kravanja and Grossmann [1], Kravanja et al [2][3][4].…”

Minlp Optimization of Steel Frames

“…The development of suitable strategies to solve comprehensive, non-convex and highly combinatorial MINLP problems for the simultaneous topology, material, standard and rounded dimension optimization was introduced by Kravanja et al [28,29]. The applicability of the proposed MINLP optimization approach was supported by the examples such as the MINLP optimization of roller hydraulic steel gate Intake Gate of Aswan II for Egypt by Kravanja et al [30], the optimization of steel gates for Sultartangi project in Iceland [31] as well as the MINLP optimization of steel trusses and composite I beams by Kravanja et al [29].…”