id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
american_scientific_journal-522	Serdoun, Nadjib Sidi Mohammed; Hamza-Cherif, S. M.	Free Vibration Analysis of Isotropic Plates by Alternative Hierarchical Finite Element Method Based on Reddy’s C1 HSDT	2014	19	.pdf	application/pdf	6737	294	70	d a b a b a b ξ ξ ξ η η η ξ η ξ η ξ η ξ ξ η η  ∂ ∂ ∂ ∂ ∂ ∂ = + + ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ + + +  ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂  ∫ ∫ (28) [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] 1 1 2 2 2 3311 12 2 2 2 2 2 0 0 44 wθx 22 2 2 T T T w w w T w N N N N N NEE E ab a a b ab NF N d g g gξ η ξ η ξ η ξ η =    (24) where 1 wk ,...,P= , 1 wl ,...,P= , and ( )1 wr j	cache/american_scientific_journal-522.pdf	txt/american_scientific_journal-522.txt