@Article{icces.2023.09139,
AUTHOR = {Dan Li, Jie Wang, Haibo Chen},
TITLE = {A	Multi-Frequency	Topology	Optimization	Method	for	Vibro-Acoustic	 Problems},
JOURNAL = {The International Conference on Computational \& Experimental Engineering and Sciences},
VOLUME = {26},
YEAR = {2023},
NUMBER = {4},
PAGES = {1--2},
URL = {http://www.techscience.com/icces/v26n4/54069},
ISSN = {1933-2815},
ABSTRACT = {In	 practical	 vibro-acoustic	 problems,	 the	external	excitation	 normally	 contains	a	 certain	frequency	 band	
structure [1].	Therefore,	it	is	needed	 to	perform	optimization	under	 frequency	band	analysis.	For	sound	
radiation	problems	caused	by	structural	vibration,	a	topology	optimization	method	for	structural	materials	
is	 proposed	 based	 on	 the	 acoustic-vibration	 coupling	 analysis [2-6]	 and	 the	 frequency-band	 matrix	
interpolation	method [7,8].	By	combining	the	advantages	of	FEM	and	BEM	in	structural	and	acoustic	field	
analysis,	 the	 accurate	 solution	 of	 the	 acoustic-vibration	 coupling	 problem	 is	 achieved.	 The	 structural	
material	 interpolation	 model	 is	 established	 using	 the	 solid	 isotropic	 material	 with	 penalization	 (SIMP)	
method,	and	the	topological	sensitivity	formulation	is	derived	based	on	the	adjoint	variable	method	(AVM).	
The	topological	optimization	design	of	the	structural	material	is	carried	out	by	using	the	method	of	moving	
asymptotes	(MMA).	According	to	the	special	property	of	impedance	matrix,	the	matrix	interpolation	method	
is	used	to	obtain	the	objective	function	at	any	frequency	point	in	the	frequency	band,	which	improves	the	
computational	 efficiency	 in	 the	 frequency	 band	 topology	 optimization.	 The	 zero	 points	 of	 chebyshev	
polynomial	 are	 selected	 as	 the	 interpolation	 nodes	 to	 minimize	 the	 remaining	 terms	 for	 improving	 the	
calculation	accuracy.	Finally,	a	frequency	band	optimization	method	is	established,	and	its	effectiveness	is	
verified	by	numerical	tests.	The	optimization	results	show	a	strong	frequency	dependence	and	the	multifrequency	optimization	results	accurately	represent	the	material	distribution	in	the	frequency	band.},
DOI = {10.32604/icces.2023.09139}
}