TY  - EJOU
AU  - Gu, Jinyu 
AU  - Qu, Jinping 
AU  - Wang, Yingjun 

TI  - A	Novel	Topology	Optimization	Method	for	Local Relative Displacement	 Difference	Minimization
T2  - The International Conference on Computational \& Experimental Engineering and Sciences

PY  - 2023
VL  - 26
IS  - 4
SN  - 1933-2815

AB  - In	 the	 topology	 optimization problem	 of	 mechanical	 structures,	 the	 optimization	 objectives	 are	 mainly	
focused	 on	 the	 compliance	 minimization,	 displacement	 minimization, stress	 minimization,	 and	 so	 on.	
However,	in	practical	engineering,	these	kinds	of	optimization	objectives	do	not	meet	all	the	requirements.	
Some	 structures,	 such	as	wind	 turbine	 blades	and	engine	 blades	 of	aircrafts, are	 required	 to	maintain	a	
superior	aerodynamic	shape	under	external	loads.	This	puts	a	higher	requirement	on	the	local	deformation	
homogenization	 of	 the	 structure.	 Therefore,	 we	 proposed	 a	 topology	 optimization	 method	 for	 the	
minimization	of	local relative displacement	differences	considering	stress	constraints.	First,	we	present	a	
specific	topology	optimization	model	for	the	proposed	method,	and	the	P-Normal	aggregation	function	is	
adopted	to	deal	with	the	global	stress	constraint	problem.	Second,	the	sensitive	equations	of	the	objective	
function	and	the	stress	constraint	function	to	the	design	variables	are	derived	by	the	method	of	concomitant	
variables.	Then,	we	illustrate	the	details	of	the	algorithmic	procedure	of	the	proposed	method.	Finally,	the	
validity	 of	 the	 proposed	 method	 is	 verified	 by	 two-dimensional	 and	 three-dimensional	 examples,	 and	
compared	 with	 the	 optimization	 results	 of	 compliance	 minimization.	 The	 results	 demonstrate	 that	 the	
proposed	method	has	obvious	superiority	and	potential	application	value	in	minimization	of	local	relative	
displacement	differences.
KW  - Topology	 optimization;	 local	 deformation;	 stress	 constraints;	 concomitant	 variables;	 local	 relative	 displacement	differences

DO  - 10.32604/icces.2023.09161