TY  - EJOU
AU  - Cui, Junzhe 
AU  - Zhang, Dechun 
AU  - Li, Peng 
AU  - Yang, Yiren 

TI  - On	the	Static	Aeroelasticity	Instability	of	an	Inverted	Cantilever	Plate	 with	a	Crack	Under	Steady	Axial	Airflow
T2  - The International Conference on Computational \& Experimental Engineering and Sciences

PY  - 2023
VL  - 26
IS  - 1
SN  - 1933-2815

AB  - This	study	investigates	 the	static	instability	of	a	cracked	plate	in	subsonic	airflow.	The	plate	model	is	an	
inverted	cantilever	plate,	where	its	leading	edge	is	free	and	the	trailing	edge	the	clamped. A	mathematical	
model	of	the	crack	is	developed	using	the	Dirac	function,	while	Theodorsen	aerodynamic	mode	is	applied	
for	the	fluid	force.	To	account	for	angle	discontinuity	caused	by	cracks,	Fourier	expansion	is	employed	to	
transform	 the	 form	 corresponding	 to	 the	angle	into	a	 continuous	model.	 The	 critical	 divergent	 dynamic	
pressure	and	mode	of	an	inverted	cantilever plate	with	a	crack	are	calculated	using	the	Galerkin	method.	
Results	show	that	the	closer	the	crack	is	close	to	the	clamped,	the	lower	the	instability	boundary	flow	rate	
of	the	plate.	Additionally,	for	a	given	crack	location,	the	larger	the	crack	damage	parameter,	the	lower	the	
instability	boundary	flow	rate	of	the	plate.
KW  - Crack;	divergence; inverted	cantilever	plate

DO  - 10.32604/icces.2023.010401