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The effects of violin varnish on the acoustic properties of Picea Engelmannii 2011

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Q α ζ Q, α ζ 20 30 2 18 32 2 8 18 6; f0 ∆f f0 ∆f α pif0Q , ζ 12Q , −17.6767 ±0.7004, ∆f ∆Q Q ∆Q α ζ Q, α ζ ∆α ∆ζ f f0 d d0 . f f0 ∆f dd0 . f ∝ λ1f0 d d0 λ1 = −0.3343 ∆f = f − f0 dd0 f ∝ f + λ2 d d0 λ2 = −72.2044 . h f0 = 1 2pi ([( mpi a2 ) + ( npi b2 )]× √ D d0h ), ω0 = [( mpi a2 ) + ( npi b2 )]× √ D d0h ω2 ω1 = √ D d2h2√ D d1h1 = √ d1h1 d2h2 f2 = f1 √ d1h1 d2h2 h1 h2 d1 d2 y = x, −5.0134 ± 0.2467, ∆f ∆Q α ζ ∆α ∆ζ f f0 d d0 ∆f = f − f0 dd0 . f f0 ∆f dd0 . f ∝ λ3f0 d d0 , f ∝ f + λ4d d0 , λ3 λ4 f2 = f1 √ d1h1 d2h2 . y = x, y = x. −17.6767 ±0.7004, −5.0134 ± 0.2467. ω2 = ω1 √ d1h1 d2h2 2 = h1 h2 mw mv y = x y = x f0 = 1 2pi ([( mpi a2 ) + ( npi b2 )]× √ D d0h ), m, n m, n = 2 a, b D D = Eh3 12(1− v2) E v ξ = δϕ δx − δψ δz ζ = δϕ δz + δψ δx ϕ ψ .. ϕ = c2l∇2ϕ .. ψ = c2T∇2ψ cl cT tanh( h √ k2 − 4pi 2f20 c2l 2 ) tanh( h √ k2 − 4pi 2f20 c2T 2 ) = 4k2 √ k2 − 4pi 2f20 c2l √ k2 − 4pi 2f20 c2T (2k2 + 4pi2f20 c2T )2 , k f2 = f1 √ d1h1 d2h2 , f1 d2 d1 h2 h1 f = AB f = A B δf = √ ( δA A )2 + ( δB B )2 SEx = √ 1 N ∑ (xbar − x)2 √ N

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