scholarly journals Proposition and analysis of strut and tie models for short corbels from techniques of topology optimization

Author(s):  
Matheus Barbosa Moreira Cedrim ◽  
Eduardo Nobre Lages ◽  
Aline da Silva Ramos Barboza

Abstract Reinforced concrete short corbels are components characterized to represent typical conditions of geometrical and static discontinuity. In general, the classical bending theory is not valid for their design. With the strut and tie method, a model of a self-balanced truss, a strategy of representation of the principal stress flow appears as a representation of the trajectories of the main stresses in these components. Within the context of obtaining the strut and tie models, topology optimization is an indicated technique for an automated process. Combined with a numerical analysis based on finite elements, the SIMP (Solid Isotropic Material with Penalization) method formulation, which is defined with the criterion of minimum strain energy restricted by the volumetric fraction, is used for the development of the models with the ABAQUS® v. 6.14.1 software. Therefore, with the material distribution posterior to the optimization and the validation based on normative codes, it is demonstrated that the tool is effective in the development of strut and tie models.

Author(s):  
Ryan Seifert ◽  
Mayuresh Patil ◽  
Gary Seidel ◽  
Gregory Reich

This paper presents an analysis of optimization for multifunctional nanocomposites. A carbon nanotubeepoxy composite is optimized for maximum resistance change and minimum strain energy. Analysis uses a finite element method and includes the coupled physics of mechanics, electrostatics, and piezoresistivity. The problem is solved first for minimum strain energy, then two resistance maximization problems are solved. For all optimization, sensitivities are obtained analytically. After solving the individual problems a weighted sum approach is used in the multi-objective optimization of both minimizing the strain energy and maximizing the resistance change. Comments are made as to the effect of the topology optimization method as a design tool, on the shape of the optimized cross sections, and on the possible extensions on using the coupled physics topology optimization algorithm.


2013 ◽  
Vol 774-776 ◽  
pp. 420-427 ◽  
Author(s):  
Kai Wang ◽  
De Sheng Yang ◽  
Da Wei Ma

A multi-objective structure optimization design of a car lower control arm was operated in order to improve both compliance and eigenfrequencies effectively. Based on SIMP (solid isotropic material penalization) method, compromise programming method was adopted to define multi-objective topology optimization. The topological structure of lower control arm was obtained through the optimization, and further, the new structure design. Results verified by FEA show that the new design can simultaneously satisfy the compliance and eigenfrequencies objective, and can meet yield stress requirements.


Author(s):  
Han-Wool Kim ◽  
Young-Seong Kim ◽  
Joong Yeon Lim

The development of additive manufacturing technology has facilitated the production of cellular structures such as lattices. Topology optimization is a tool for computing the optimal geometry of an object within certain conditions, and it can be used to increase the stiffness and decrease the weight. In this study, a “double-optimized lattice structure” was designed by applying the solid isotropic material with penalization method for topology optimization twice, first to optimize the unit cell of the lattice and then to grade and insert the cells into a global model. This design was applied to a Messerschmitt–Bölkow–Blohm beam and produced via material extrusion additive manufacturing. Subsequently, it was evaluated by a three-point bending test, and the results indicated that the double-optimized lattice beam had a 1.6–1.9 fold greater effective stiffness and a 2 fold higher ultimate load than the values obtained for the beam designed with conventional methods. Thus, the double-optimized lattice structure developed herein can be an effective material with regard to its low weight and high stiffness. Contrarily, the penalty factor p of the solid isotropic material with penalization did not affect the properties. This finding suggests that p can control homogeneity while maintaining the strength of the structure.


2012 ◽  
Vol 229-231 ◽  
pp. 336-339 ◽  
Author(s):  
Chang Dong Wan

Engine Hood is an important part of a whole auto body panels, Structural stiffness and vibration modal always are considered while designing. After structure analysis of original engine hood, some defects were found. Based on the theories of topology optimization , topography optimization and size optimization, some constraints for the displacement, the modal, the volumetric fraction were set up, firstly, minimum strain energy was set up for the optimization objective; secondly, the minimum mass was set up for the objective. After computation, an optimized shape and material distribution for the structure was shown. Then, the structure was redesigned, and then it was computed with method of size optimization. The results of recomputation showed that the engine hood structure capability was superior to the original and the new hood weight was also reduced.


2014 ◽  
Vol 541-542 ◽  
pp. 669-673
Author(s):  
Kai Wang ◽  
Da Wei Ma

A multi-objective structure optimization design onthe upper carriage of a naval gun was operated in order to improve both compliance and eigenfrequencies effectively. Based on SIMP (solid isotropic material penalization) method, compromise programming method was adopted to define multi-objective topology optimization. The topological structure of upper carriage was obtained through the optimization, and further, the new structure design. Results verified by FEA show that the new design can simultaneously satisfy the compliance and eigenfrequencies objective, and meanwhile candecrease mass and stress.


2019 ◽  
Vol 25 (6) ◽  
pp. 576-586 ◽  
Author(s):  
Nannan Cui ◽  
Shiping Huang

The cable-pylon anchorage zone is a typical D-region in a cable-stayed bridge, for which there has been no uniform simplified design method until now. In this paper, based on the extensive statistics of actual projects, topology optimization techniques and principle of minimum strain energy, two precise strut-and-tie models for the cable-pylon anchorage zone are proposed, which can clearly reveal the load-transmitting mechanism of the anchorage zone. Th e explicit geometric parameters of the strut-and-tie models are derived; thus, the designers can directly use these models. A simple design procedure to deploy prestressing tendons in the anchorage zone is also introduced, whose effectiveness and convenience are demonstrated by two design examples. A new design named the “one-way prestressing tendons PC cable-pylon” is also discussed regarding its application scope.


Author(s):  
Akihiro Takezawa ◽  
Shinji Nishiwaki ◽  
Kazuhiro Izui ◽  
Masataka Yoshimura

This paper discuses a new topology optimization method using frame elements for the design of mechanical structures at the conceptual design phase. The optimal configurations are determined by maximizing multiple eigen-frequencies in order to obtain the most stable structures for dynamic problems. The optimization problem is formulated using frame elements having ellipsoidal cross-sections, as the simplest case. Construction of the optimization procedure is based on CONLIN and the complementary strain energy concept. Finally, several examples are presented to confirm that the proposed method is useful for the topology optimization method discussed here.


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