Page 20 - 2019

Ph.D.
(Engineering & Technology)
MESHLESS METHOD FOR SHAPE OPTIMIZATION
OF STRUCTURAL MEMBER

Ph.D. Scholar : Daxini Sachin Dipakkumar
Research Supervisor : Dr. J. M. Prajapati

Regi. No.: 14146051001
Abstract :
like Artificial Bee Colony (ABC) and Particle Swarm Optimization (PSO) for solving shape
optimization problems of 2D linear elasticity. EFG method for structural analysis
eliminates inherent issues of grid-based numerical technique like FEM in shape
optimization. FEM leads to issues like mesh distortion and remeshing while handling
large shape changes, poor accuracy due to discontinuous secondary field variables
across element boundaries needing costly post-processing techniques and grid
optimization to minimize computational errors. Population based stochastic optimization
technique like ABC and PSO eliminates computational burden, complexity and errors
associated with design sensitivity analysis (DSA). For design boundary representation,
Akima spline interpolation has been used in the present work owing to its enhanced
stability and smoothness over Cubic spline. The effectiveness, validity and performance
of the proposed technique are established through numerical examples of cantilever
beam, fixed-fixed beam and fillet geometry in 2D linear elasticity with behavior constraints
on displacement and von-Mises stress. In case of combined EFG and ABC technique,
investigation on effect of number of design variables on

optimum shape and objective function value is carried out for cantilever beam and fillet
geometry. Results obtained through proposed techniques are compared with the other
techniques of past literature to demonstrate its effectiveness and establish its validity.

Keywords: Shape optimization, Meshless Methods (MMs), Element Free Galerkin (EFG)
method, Artificial Bee Colony (ABC), Particle Swarm Optimization (PSO)

01