Table 1 Initial control points and related weights of rectangular and elliptical panels.

From: An isogeometric modeling and vibro-acoustic characteristics analysis of a double panel-acoustic cavity coupling system with in-plane functionally graded materials

Rectangular panel

Elliptical panel

i,j

Bi,j

ωi,j

i,j

Bi,j

ωi,j

(1,1)

(0,0)

1

(1,1)

(0, Ly/2)

1

(1,2)

(Lx,0)

1

(1,2)

(0,0)

1

(2,1)

(0, Ly)

1

(1,3)

(Lx/2,0)

1

(2,2)

(Lx, Ly)

1

(2,1)

(0, Ly)

\({{\sqrt 2 } \mathord{\left/ {\vphantom {{\sqrt 2 } 2}} \right. \kern-0pt} 2}\)

   

(2,2)

(Lx/2, Ly/2)

\({{\sqrt 2 } \mathord{\left/ {\vphantom {{\sqrt 2 } 2}} \right. \kern-0pt} 2}\)

   

(2,3)

(Lx,0)

\({{\sqrt 2 } \mathord{\left/ {\vphantom {{\sqrt 2 } 2}} \right. \kern-0pt} 2}\)

   

(3,1)

(Lx/2, Ly)

1

   

(3,2)

(Lx, Ly)

\({{\sqrt 2 } \mathord{\left/ {\vphantom {{\sqrt 2 } 2}} \right. \kern-0pt} 2}\)

   

(3,3)

(Lx, Ly/2)

1