Optimally Directed Truss Topology Generation Using Shape Annealing

1995 ◽  
Vol 117 (1) ◽  
pp. 206-209 ◽  
Author(s):  
G. M. Reddy ◽  
J. Cagan

This paper presents a technique for the generation and optimization of truss structure topologies based on the shape annealing algorithm. Feasible truss topologies are generated through a shape grammar in an optimally directed manner using simulated annealing for minimum weight, subject to stress and Euler buckling constraints.

Author(s):  
Giridhar M. Reddy ◽  
Jonathan Cagan

Abstract This paper presents a technique for generation and optimization of truss structure topologies based on the shape annealing algorithm. Feasible truss topologies are generated through a shape grammar, in an optimally directed manner, using simulated annealing. The algorithm can incorporate a variety of constraints; stress and buckling constraints are employed in this paper.


1995 ◽  
Vol 117 (2A) ◽  
pp. 315-321 ◽  
Author(s):  
G. Reddy ◽  
J. Cagan

An improved shape annealing algorithm for truss topology generation and optimization, based on the techniques of shape grammars and simulated annealing, is introduced. The algorithm features a shape optimization method using only simulated annealing with a shape grammar move set; while no traditional gradient-based techniques are employed, the algorithm demonstrates more consistent convergence characteristics. By penalizing the objective function for violated constraints, the algorithm incorporates geometric constraints to avoid obstacles. The improved algorithm is illustrated on various structural examples taking into account stress, Euler buckling and geometric constraints, generating a variety of solutions based on a simple grammar.


Author(s):  
Giridhar Reddy ◽  
Jonathan Cagan

Abstract A method for the design of truss structures which encourages lateral exploration, pushes away from violated spaces, models design intentions, and produces solutions with a wide variety of characteristics is introduced. An improved shape annealing algorithm for truss topology generation and optimization, based on the techniques of shape grammars and simulated annealing, implements the method. The algorithm features a shape grammar to model design intentions, an ability to incorporate geometric constraints to avoid obstacles, and a shape optimization method using only simulated annealing with more consistent convergence characteristics; no traditional gradient-based techniques are employed. The improved algorithm is illustrated on various structural examples generating a variety of solutions based on a simple grammar.


Author(s):  
Fatemeh Farhatnia ◽  
S. Ali Eftekhari ◽  
Alireza Pakzad ◽  
Soheil Oveissi

In this study for the first time, weight and critical buckling load in two kinds of functionally graded (FG) circular plates, namely, aluminum–alumina of (Al/Al2O3) and aluminum–zirconia (Al/ZnO2), are optimized using multi-objective Pareto archived simulated annealing algorithm (PASA). Material properties are assumed to vary with the power law in terms of the volume fractions of the constituent in two forms of symmetric and asymmetric with respect to the middle surface. The plate is subjected to uniform radial load and is considered for two boundary conditions, namely, simply supported and clamped edges. Aim at obtaining the Pareto archive is to achieve simultaneously the maximum buckling and the minimum weight concerning with proposed constraints. The parameters include the radius, thickness and volume fraction that the certain range is intended individually. The constraints are presented in form of the ratio of thickness to radius in category of the thin plates as well as the critical buckling stress being in the elastic range. Proposed simulated annealing algorithm is coded in MATLAB to obtain optimal non-dominated solution.


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